Edit Profile (opens in new tab) Van der Geer, Gerard Co-Author Distance Author ID: van-der-geer.gerard Published as: van der Geer, Gerard; van der Geer, G.; van der Geer, Gerhard more...less Further Spellings: Geer, Gerard van der; Van der Geer, Gerardus Bartholomeus Maria Homepage: http://gerard.vdgeer.net/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 113 Publications since 1977, including 5 Books and 4 Additional arXiv Preprints 11 Contributions as Editor Reviewing Activity: 30 Reviews Co-Authors: 43 Co-Authors with 94 Joint Publications 1,529 Co-Co-Authors all top 5 Co-Authors 28 single-authored 23 van der Vlugt, Marcel 13 Faber, Carel Filip 10 Cléry, Fabien 9 Kouvidakis, Alexis 7 Ciliberto, Ciro 6 Katsura, Toshiyuki 5 Ekedahl, Torsten 4 Bergström, Jonas 4 Schoof, René 3 Bruinier, Jan Hendrik 3 Moonen, Ben 3 Oort, Frans 3 Zagier, Don Bernard 2 Edixhoven, Sebastiaan Johan 2 Farkas, Gavril 2 Gritsenko, Valeriĭ Alekseevich 2 Looijenga, Eduard J. N. 1 Beauville, Arnaud 1 Bini, Gilberto 1 de Jong, Robin 1 Debarre, Olivier 1 Demailly, Jean-Pierre 1 Dijkgraaf, Robbert H. 1 Donagi, Ron Y. 1 Grushevsky, Samuel 1 Hacon, Christopher Derek 1 Harashita, Shushi 1 Harder, Günter 1 Hausmann, Wilfried 1 Hirzebruch, Friedrich 1 Ji, Lizhen 1 Kawamata, Yujiro 1 Kobayashi, Toshiyuki 1 Koll, Franz Josef 1 Miyaoka, Yoichi 1 Schmid, Wilfried 1 Shen, Mingmin 1 Steenbrink, Joseph H. M. 1 Taelman, Lenny 1 Teixidor i Bigas, Montserrat 1 Top, Jaap 1 Van de Ven, Antonius 1 van Geemen, Bert 1 van Lint, Jacobus Hendricus 1 Yau, Shing-Tung all top 5 Serials 6 Mathematische Annalen 6 Progress in Mathematics 5 Documenta Mathematica 4 Selecta Mathematica. New Series 4 Pure and Applied Mathematics Quarterly 3 Mathematics of Computation 3 IMRN. International Mathematics Research Notices 3 Journal of Algebraic Geometry 2 IEEE Transactions on Information Theory 2 American Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Nagoya Mathematical Journal 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Finite Fields and their Applications 2 Moscow Mathematical Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 1 Discrete Mathematics 1 Acta Mathematica 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Topology 1 SIAM Journal on Discrete Mathematics 1 International Journal of Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Journal of Mathematical Sciences. University of Tokyo 1 The Asian Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 DMV Seminar 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Séminaire de Mathématiques Supérieures. Séminaire Scientifique OTAN (NATO Advanced Study Institute) 1 Journal of Topology 1 Science China. Mathematics 1 Research in Number Theory 1 Universitext 1 EMS Series of Congress Reports 1 Tunisian Journal of Mathematics all top 5 Fields 108 Algebraic geometry (14-XX) 67 Number theory (11-XX) 25 Information and communication theory, circuits (94-XX) 13 General and overarching topics; collections (00-XX) 6 Several complex variables and analytic spaces (32-XX) 4 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 1,125 times in 844 Documents Cited by ▼ Year ▼ The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Zbl 1197.11047 Bruinier, Jan Hendrik; van der Geer, Gerard; Harder, Günter; Zagier, Don 139 2008 Hilbert modular surfaces. Zbl 0634.14022 van der Geer, Gerard 136 1988 Siegel modular forms and their applications. Zbl 1259.11051 van der Geer, Gerard 56 2008 Cycles on the moduli space of abelian varieties. Zbl 0974.14031 van der Geer, Gerard 39 1999 Reed-Muller codes and supersingular curves. I. Zbl 0804.14014 van der Geer, Gerard; van der Vlugt, Marcel 36 1992 Tables of curves with many points. Zbl 0965.11028 van der Geer, Gerard; van der Vlugt, Marcel 34 2000 On the geometry of a Siegel modular threefold. Zbl 0473.14017 van der Geer, G. 28 1982 Kummer varieties and the moduli spaces of Abelian varieties. Zbl 0612.14044 van Geemen, Bert; van der Geer, Gerard 27 1986 Siegel modular forms of degree three and the cohomology of local systems. Zbl 1343.11051 Bergström, Jonas; Faber, Carel; van der Geer, Gerard 24 2014 The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\). Zbl 0366.10024 van der Geer, G.; Zagier, Don 21 1977 Cycle classes of the E-O stratification on the moduli of abelian varieties. Zbl 1200.14089 Ekedahl, Torsten; van der Geer, Gerard 20 2009 On the cohomology of local systems on the moduli spaces of curves of genus 2 and of abelian surfaces. I. (Sur la cohomologie des systèmes locaux sur les espaces de modules des courbes de genre 2 et des surfaces abéliennes. I.) Zbl 1062.14034 Faber, Carel; van der Geer, Gerard 19 2004 Supersingular curves of genus 2 over finite fields of characteristic 2. Zbl 0774.14045 van der Geer, Gerard; van der Vlugt, Marcel 18 1992 Effectivity of Arakelov divisors and the theta divisor of a number field. Zbl 1030.11063 van der Geer, Gerard; Schoof, René 18 2000 On the existence of supersingular curves of given genus. Zbl 0819.11022 van der Geer, Gerard; van der Vlugt, Marcel 17 1995 Curves over finite fields and codes. Zbl 1025.11022 van der Geer, Gerard 16 2001 Fibre products of Artin-Schreier curves and generalized Hamming weights of codes. Zbl 0824.94025 van der Geer, Gerard; van der Vlugt, Marcel 15 1995 Introduction to coding theory and algebraic geometry. II: Algebraic geometry. Zbl 0648.94012 van der Geer, Gerard 15 1988 On the height of Calabi-Yau varieties in positive characteristic. Zbl 1074.14524 van der Geer, G.; Katsura, T. 15 2003 Complete subvarieties of moduli spaces and the Prym map. Zbl 1075.14023 Faber, Carel; van der Geer, Gerhard 15 2004 On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces. II. (Sur la cohomologie des systèmes locaux sur les espaces de modules des courbes de genre 2 et des surfaces abéliennes. II.) Zbl 1055.14026 Faber, Carel; van der Geer, Gerard 15 2004 On a stratification of the moduli of \(K3\) surfaces. Zbl 0983.14020 van der Geer, G.; Katsura, T. 14 2000 Kloosterman sums and the \(p\)-torsion of certain Jacobians. Zbl 0731.14014 van der Geer, Gerard; van der Vlugt, Marcel 13 1991 How to construct curves over finite fields with many points. Zbl 0884.11027 van der Geer, Gerard; van der Vlugt, Marcel 12 1997 An asymptotically good tower of curves over the field with eight elements. Zbl 1062.11037 van der Geer, Gerard; van der Vlugt, Marcel 12 2002 Coding theory and algebraic curves over finite fields. Zbl 1011.11042 van der Geer, G. 12 2001 Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures. Zbl 1210.11060 Bergström, Jonas; Faber, Carel; van der Geer, Gerard 12 2008 Covariants of binary sextics and vector-valued Siegel modular forms of genus two. Zbl 1427.11042 Cléry, Fabien; Faber, Carel; van der Geer, Gerard 12 2017 Generalized Reed-Muller codes and curves with many points. Zbl 0914.94019 van der Geer, G.; van der Vlugt, M. 10 1998 Hunting for curves with many points. Zbl 1248.11044 van der Geer, Gerard 10 2009 Number fields and function fields – two parallel worlds. Zbl 1078.11002 10 2005 Siegel modular forms of genus 2 and level 2. Zbl 1344.14019 Cléry, Fabien; van der Geer, Gerard; Grushevsky, Samuel 10 2015 Andreotti-Mayer loci and the Schottky problem. Zbl 1164.14008 Ciliberto, Ciro; van der Geer, Gerard 9 2008 Note on abelian schemes of level three. Zbl 0688.14034 van der Geer, Gerard 9 1987 The Chow ring of the moduli space of abelian threefolds. Zbl 0952.14003 van der Geer, Gerard 9 1998 Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. Zbl 1348.14098 Cléry, Fabien; van der Geer, Gerard 9 2015 Lectures on Hilbert modular surfaces. Notes by W. Hausmann and F. J. Koll. Zbl 0483.14009 Hirzebruch, Friedrich; van der Geer, Gerard 9 1981 On the number of parameters of curves whose Jacobians possess nontrivial endomorphisms. Zbl 0806.14020 Ciliberto, Ciro; van der Geer, Gerard; Teixidor i Bigas, Montserrat 8 1992 On generalized Hamming weights of BCH codes. Zbl 0837.94023 van der Geer, Gerard; van der Vlugt, Marcel 8 1994 Weight formulas for ternary Melas codes. Zbl 0768.94017 van der Geer, Gerard; Schoof, René; van der Vlugt, Marcel 8 1992 On the minimality of certain Hilbert modular surfaces. Zbl 0349.14022 van der Geer, G.; van de Ven, A. 8 1977 Cycle classes on the moduli of \(K3\) surfaces in positive characteristic. Zbl 1317.14012 Ekedahl, Torsten; van der Geer, Gerard 8 2015 Quadratic forms, generalized Hamming weights of codes and curves with many points. Zbl 0872.94052 van der Geer, Gerard; van der Vlugt, Marcel 8 1996 Curves over finite fields of characteristic 2 with many rational points. Zbl 0787.14033 van der Geer, Gerard; van der Vlugt, Marcel 7 1993 The moduli space of abelian varieties and the singularities of the theta divisor. Zbl 1091.14012 Ciliberto, Ciro; van der Geer, Gerard 7 2000 Minimal models for Hilbert modular surfaces of principal congruence subgroups. Zbl 0418.14021 van der Geer, G. 7 1979 Cycles representing the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1090.14002 Ekedahl, Torsten; van der Geer, Gerard 6 2005 Generalized Hamming weights of codes and curves over finite fields with many points. Zbl 0855.11028 van der Geer, G.; van der Vlugt, M. 6 1996 Artin-Schreier curves and codes. Zbl 0729.11066 van der Geer, Gerard; van der Vlugt, Marcel 6 1991 Moduli of abelian varieties: a short introduction and survey. Zbl 0979.14022 van der Geer, Gerard; Oort, Frans 6 1999 Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three. Zbl 1465.11119 Cléry, Fabien; Faber, Carel; van der Geer, Gerard 6 2020 The second generalized Hamming weight of the dual codes of double-error correcting binary BCH-codes. Zbl 0869.94038 van der Geer, G.; van der Vlugt, M. 5 1995 On the Jacobian of a hyperplane section of a surface. Zbl 0787.14017 Ciliberto, Ciro; van der Geer, Gerard 5 1992 Introduction to coding theory and algebraic geometry. (Based on lectures given in the seminar held at Schloß Mickeln, Düsseldorf, November 16-21, 1987). Zbl 0639.00048 van Lint, Jacobus H.; van der Geer, Gerard 5 1988 Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\). Zbl 0357.10014 van der Geer, G. 5 1978 The Hodge bundle on Hurwitz spaces. Zbl 1316.14053 van der Geer, Gerard; Kouvidakis, Alexis 5 2011 Generators for modules of vector-valued Picard modular forms. Zbl 1285.11080 Cléry, Fabien; van der Geer, Gerard 5 2013 Kummer covers with many points. Zbl 1021.11023 van der Geer, Gerard; van der Vlugt, Marcel 5 2000 The cohomology of the moduli space of abelian varieties. Zbl 1322.14019 van der Geer, Gerard 5 2015 Generalized Hamming weights of Melas codes and dual Melas codes. Zbl 0815.94013 van der Geer, Gerard; van der Vlugt, Marcel 4 1994 Subvarieties of the moduli space of curves parametrizing Jacobians with non-trivial endomorphisms. Zbl 0766.14016 Ciliberto, Ciro; van der Geer, Gerard 4 1992 Weight distributions for a certain class of codes and maximal curves. Zbl 0755.94009 van der Geer, Gerard; van der Vlugt, Marcel 4 1992 An invariant for varieties in positive characteristic. Zbl 1048.14026 van der Geer, G.; Katsura, T. 4 2002 Counting curves over finite fields. Zbl 1378.11071 van der Geer, Gerard 4 2015 Rank one Eisenstein cohomology of local systems on the moduli space of abelian varieties. Zbl 1242.14034 van der Geer, Gerard 4 2011 The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three. Zbl 1156.14032 Bergström, Jonas; van der Geer, Gerard 4 2008 The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves. Zbl 1077.14036 Bini, Gilberto; van der Geer, Gerard 3 2005 The moduli space of curves. Proceedings of the conference held on Texel Island, Netherlands during the last week of April 1994. Zbl 0827.00037 3 1995 Note on tautological classes of moduli of \(K3\) surface. Zbl 1124.14011 van der Geer, Gerard; Katsura, Toshiyuki 3 2005 On vector-valued Siegel modular forms of degree 2 and weight \((j,2)\). Zbl 1454.11088 Cléry, Fabien; van der Geer, Gerard 3 2018 Formal Brauer groups and moduli of Abelian surfaces. Zbl 1033.14029 van der Geer, G.; Katsura, T. 3 2001 The order of the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1061.14041 Ekedahl, Torsten; van der Geer, Gerard 3 2004 Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023 3 2001 The cycle classes of divisorial Maroni loci. Zbl 1405.14067 van der Geer, Gerard; Kouvidakis, Alexis 3 2017 The class of a Hurwitz divisor on the moduli of curves of even genus. Zbl 1263.14035 van der Geer, Gerard; Kouvidakis, Alexis 3 2012 Covariants of binary sextics and modular forms of degree 2 with character. Zbl 1470.11070 Cléry, Fabien; Faber, Carel; van der Geer, Gerard 3 2019 Non-isomorphic curves of genus four with isomorphic (non-polarized) Jacobians. Zbl 0823.14011 Ciliberto, Ciro; van der Geer, Gerard 2 1994 Arithmetic algebraic geometry. Proceedings of the conference held on Texel Island, Netherlands, during the last week of April 1989. Zbl 0711.00011 2 1991 A note on Fano surfaces of nodal cubic threefolds. Zbl 1215.14045 van der Geer, Gerard; Kouvidakis, Alexis 2 2010 The rank-one limit of the Fourier-Mukai transform. Zbl 1202.14009 van der Geer, Gerard; Kouvidakis, Alexis 2 2010 Corrigendum: “The Chow ring of the moduli space of abelian threefolds”. Zbl 1172.14304 van der Geer, Gerard 2 2009 Points of degree \(d\) on curves over number fields. Zbl 0811.14029 van der Geer, Gerard 2 1993 Constructing curves over finite fields with many points by solving linear equations. Zbl 1054.11506 van der Geer, Gerard; van der Vlugt, Marcel 2 1999 Generating Picard modular forms by means of invariant theory. Zbl 1522.11037 Cléry, Fabien; van der Geer, Gerard 2 2023 Generalized Hamming weights of BCH(3) revisited. Zbl 0827.94029 van der Geer, Gerard; van der Vlugt, Marcel 1 1995 Cycle relations on Jacobian varieties. With an appendix by Don Zagier. Zbl 1125.14005 van der Geer, Gerard; Kouvidakis, Alexis 1 2007 Trace codes and families of algebraic curves. Zbl 0767.94018 van der Geer, Gerard; van der Vlugt, Marcel 1 1992 The Schottky problem. Zbl 0598.14027 van der Geer, Gerard 1 1985 On second order theta functions and the singularities of the theta divisor. (Sur les fonctions thêta d’ordre deux et les singularités du diviseur thêta.) Zbl 0699.14057 Beauville, Arnaud; Debarre, Olivier; Donagi, Ron; van der Geer, Gerard 1 1988 Families of Abelian surfaces with real multiplication over Hilbert modular surfaces. Zbl 0511.14021 van der Geer, G.; Ueno, K. 1 1982 The coset weight distributions of certain BCH codes and a family of curves. Zbl 1048.94020 van der Geer, G.; van der Vlugt, M. 1 2002 Classification of algebraic varieties. Based on the conference on classification of varieties, Schiermonnikoog, Netherlands, May 2009. Zbl 1203.14003 1 2011 Relations between some invariants of algebraic varieties in positive characteristic. Zbl 1267.14035 van der Geer, Gerard; Katsura, Toshiyuki 1 2013 K3 surfaces and their moduli. Zbl 1348.14003 1 2016 Modular forms on Schiermonnikoog. Based on the conference on modular forms, Schiermonnikoog, Netherlands, October 2006. Zbl 1149.11002 Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 Modular forms. Zbl 1228.11056 Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 Siegel modular forms of degree two and three and invariant theory. Zbl 1530.11047 van der Geer, Gerard 1 2023 The ring of modular forms of degree two in characteristic three. Zbl 1510.11109 van der Geer, Gerard 1 2021 Modular forms via invariant theory. Zbl 1531.11042 Cléry, Fabien; van der Geer, Gerard 1 2023 Picard modular forms and the cohomology of local systems on a Picard modular surface. Zbl 1516.11053 Bergström, Jonas; van der Geer, Gerard 1 2022 Generating Picard modular forms by means of invariant theory. Zbl 1522.11037 Cléry, Fabien; van der Geer, Gerard 2 2023 Siegel modular forms of degree two and three and invariant theory. Zbl 1530.11047 van der Geer, Gerard 1 2023 Modular forms via invariant theory. Zbl 1531.11042 Cléry, Fabien; van der Geer, Gerard 1 2023 Picard modular forms and the cohomology of local systems on a Picard modular surface. Zbl 1516.11053 Bergström, Jonas; van der Geer, Gerard 1 2022 Modular forms of degree 2 and curves of genus 2 in characteristic 2. Zbl 1497.11120 Cléry, Fabien; van der Geer, Gerard 1 2022 The ring of modular forms of degree two in characteristic three. Zbl 1510.11109 van der Geer, Gerard 1 2021 Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three. Zbl 1465.11119 Cléry, Fabien; Faber, Carel; van der Geer, Gerard 6 2020 Covariants of binary sextics and modular forms of degree 2 with character. Zbl 1470.11070 Cléry, Fabien; Faber, Carel; van der Geer, Gerard 3 2019 On vector-valued Siegel modular forms of degree 2 and weight \((j,2)\). Zbl 1454.11088 Cléry, Fabien; van der Geer, Gerard 3 2018 Covariants of binary sextics and vector-valued Siegel modular forms of genus two. Zbl 1427.11042 Cléry, Fabien; Faber, Carel; van der Geer, Gerard 12 2017 The cycle classes of divisorial Maroni loci. Zbl 1405.14067 van der Geer, Gerard; Kouvidakis, Alexis 3 2017 K3 surfaces and their moduli. Zbl 1348.14003 1 2016 Siegel modular forms of genus 2 and level 2. Zbl 1344.14019 Cléry, Fabien; van der Geer, Gerard; Grushevsky, Samuel 10 2015 Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. Zbl 1348.14098 Cléry, Fabien; van der Geer, Gerard 9 2015 Cycle classes on the moduli of \(K3\) surfaces in positive characteristic. Zbl 1317.14012 Ekedahl, Torsten; van der Geer, Gerard 8 2015 The cohomology of the moduli space of abelian varieties. Zbl 1322.14019 van der Geer, Gerard 5 2015 Counting curves over finite fields. Zbl 1378.11071 van der Geer, Gerard 4 2015 Siegel modular forms of degree three and the cohomology of local systems. Zbl 1343.11051 Bergström, Jonas; Faber, Carel; van der Geer, Gerard 24 2014 Generators for modules of vector-valued Picard modular forms. Zbl 1285.11080 Cléry, Fabien; van der Geer, Gerard 5 2013 Relations between some invariants of algebraic varieties in positive characteristic. Zbl 1267.14035 van der Geer, Gerard; Katsura, Toshiyuki 1 2013 The class of a Hurwitz divisor on the moduli of curves of even genus. Zbl 1263.14035 van der Geer, Gerard; Kouvidakis, Alexis 3 2012 The Hodge bundle on Hurwitz spaces. Zbl 1316.14053 van der Geer, Gerard; Kouvidakis, Alexis 5 2011 Rank one Eisenstein cohomology of local systems on the moduli space of abelian varieties. Zbl 1242.14034 van der Geer, Gerard 4 2011 Classification of algebraic varieties. Based on the conference on classification of varieties, Schiermonnikoog, Netherlands, May 2009. Zbl 1203.14003 1 2011 A note on Fano surfaces of nodal cubic threefolds. Zbl 1215.14045 van der Geer, Gerard; Kouvidakis, Alexis 2 2010 The rank-one limit of the Fourier-Mukai transform. Zbl 1202.14009 van der Geer, Gerard; Kouvidakis, Alexis 2 2010 Cycle classes of the E-O stratification on the moduli of abelian varieties. Zbl 1200.14089 Ekedahl, Torsten; van der Geer, Gerard 20 2009 Hunting for curves with many points. Zbl 1248.11044 van der Geer, Gerard 10 2009 Corrigendum: “The Chow ring of the moduli space of abelian threefolds”. Zbl 1172.14304 van der Geer, Gerard 2 2009 The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Zbl 1197.11047 Bruinier, Jan Hendrik; van der Geer, Gerard; Harder, Günter; Zagier, Don 139 2008 Siegel modular forms and their applications. Zbl 1259.11051 van der Geer, Gerard 56 2008 Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures. Zbl 1210.11060 Bergström, Jonas; Faber, Carel; van der Geer, Gerard 12 2008 Andreotti-Mayer loci and the Schottky problem. Zbl 1164.14008 Ciliberto, Ciro; van der Geer, Gerard 9 2008 The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three. Zbl 1156.14032 Bergström, Jonas; van der Geer, Gerard 4 2008 Modular forms on Schiermonnikoog. Based on the conference on modular forms, Schiermonnikoog, Netherlands, October 2006. Zbl 1149.11002 Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 Modular forms. Zbl 1228.11056 Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 Cycle relations on Jacobian varieties. With an appendix by Don Zagier. Zbl 1125.14005 van der Geer, Gerard; Kouvidakis, Alexis 1 2007 Number fields and function fields – two parallel worlds. Zbl 1078.11002 10 2005 Cycles representing the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1090.14002 Ekedahl, Torsten; van der Geer, Gerard 6 2005 The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves. Zbl 1077.14036 Bini, Gilberto; van der Geer, Gerard 3 2005 Note on tautological classes of moduli of \(K3\) surface. Zbl 1124.14011 van der Geer, Gerard; Katsura, Toshiyuki 3 2005 On the cohomology of local systems on the moduli spaces of curves of genus 2 and of abelian surfaces. I. (Sur la cohomologie des systèmes locaux sur les espaces de modules des courbes de genre 2 et des surfaces abéliennes. I.) Zbl 1062.14034 Faber, Carel; van der Geer, Gerard 19 2004 Complete subvarieties of moduli spaces and the Prym map. Zbl 1075.14023 Faber, Carel; van der Geer, Gerhard 15 2004 On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces. II. (Sur la cohomologie des systèmes locaux sur les espaces de modules des courbes de genre 2 et des surfaces abéliennes. II.) Zbl 1055.14026 Faber, Carel; van der Geer, Gerard 15 2004 The order of the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1061.14041 Ekedahl, Torsten; van der Geer, Gerard 3 2004 On the height of Calabi-Yau varieties in positive characteristic. Zbl 1074.14524 van der Geer, G.; Katsura, T. 15 2003 An asymptotically good tower of curves over the field with eight elements. Zbl 1062.11037 van der Geer, Gerard; van der Vlugt, Marcel 12 2002 An invariant for varieties in positive characteristic. Zbl 1048.14026 van der Geer, G.; Katsura, T. 4 2002 The coset weight distributions of certain BCH codes and a family of curves. Zbl 1048.94020 van der Geer, G.; van der Vlugt, M. 1 2002 Curves over finite fields and codes. Zbl 1025.11022 van der Geer, Gerard 16 2001 Coding theory and algebraic curves over finite fields. Zbl 1011.11042 van der Geer, G. 12 2001 Formal Brauer groups and moduli of Abelian surfaces. Zbl 1033.14029 van der Geer, G.; Katsura, T. 3 2001 Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023 3 2001 Tables of curves with many points. Zbl 0965.11028 van der Geer, Gerard; van der Vlugt, Marcel 34 2000 Effectivity of Arakelov divisors and the theta divisor of a number field. Zbl 1030.11063 van der Geer, Gerard; Schoof, René 18 2000 On a stratification of the moduli of \(K3\) surfaces. Zbl 0983.14020 van der Geer, G.; Katsura, T. 14 2000 The moduli space of abelian varieties and the singularities of the theta divisor. Zbl 1091.14012 Ciliberto, Ciro; van der Geer, Gerard 7 2000 Kummer covers with many points. Zbl 1021.11023 van der Geer, Gerard; van der Vlugt, Marcel 5 2000 Cycles on the moduli space of abelian varieties. Zbl 0974.14031 van der Geer, Gerard 39 1999 Moduli of abelian varieties: a short introduction and survey. Zbl 0979.14022 van der Geer, Gerard; Oort, Frans 6 1999 Constructing curves over finite fields with many points by solving linear equations. Zbl 1054.11506 van der Geer, Gerard; van der Vlugt, Marcel 2 1999 Generalized Reed-Muller codes and curves with many points. Zbl 0914.94019 van der Geer, G.; van der Vlugt, M. 10 1998 The Chow ring of the moduli space of abelian threefolds. Zbl 0952.14003 van der Geer, Gerard 9 1998 How to construct curves over finite fields with many points. Zbl 0884.11027 van der Geer, Gerard; van der Vlugt, Marcel 12 1997 Quadratic forms, generalized Hamming weights of codes and curves with many points. Zbl 0872.94052 van der Geer, Gerard; van der Vlugt, Marcel 8 1996 Generalized Hamming weights of codes and curves over finite fields with many points. Zbl 0855.11028 van der Geer, G.; van der Vlugt, M. 6 1996 On the existence of supersingular curves of given genus. Zbl 0819.11022 van der Geer, Gerard; van der Vlugt, Marcel 17 1995 Fibre products of Artin-Schreier curves and generalized Hamming weights of codes. Zbl 0824.94025 van der Geer, Gerard; van der Vlugt, Marcel 15 1995 The second generalized Hamming weight of the dual codes of double-error correcting binary BCH-codes. Zbl 0869.94038 van der Geer, G.; van der Vlugt, M. 5 1995 The moduli space of curves. Proceedings of the conference held on Texel Island, Netherlands during the last week of April 1994. Zbl 0827.00037 3 1995 Generalized Hamming weights of BCH(3) revisited. Zbl 0827.94029 van der Geer, Gerard; van der Vlugt, Marcel 1 1995 On generalized Hamming weights of BCH codes. Zbl 0837.94023 van der Geer, Gerard; van der Vlugt, Marcel 8 1994 Generalized Hamming weights of Melas codes and dual Melas codes. Zbl 0815.94013 van der Geer, Gerard; van der Vlugt, Marcel 4 1994 Non-isomorphic curves of genus four with isomorphic (non-polarized) Jacobians. Zbl 0823.14011 Ciliberto, Ciro; van der Geer, Gerard 2 1994 Curves over finite fields of characteristic 2 with many rational points. Zbl 0787.14033 van der Geer, Gerard; van der Vlugt, Marcel 7 1993 Points of degree \(d\) on curves over number fields. Zbl 0811.14029 van der Geer, Gerard 2 1993 Reed-Muller codes and supersingular curves. I. Zbl 0804.14014 van der Geer, Gerard; van der Vlugt, Marcel 36 1992 Supersingular curves of genus 2 over finite fields of characteristic 2. Zbl 0774.14045 van der Geer, Gerard; van der Vlugt, Marcel 18 1992 On the number of parameters of curves whose Jacobians possess nontrivial endomorphisms. Zbl 0806.14020 Ciliberto, Ciro; van der Geer, Gerard; Teixidor i Bigas, Montserrat 8 1992 Weight formulas for ternary Melas codes. Zbl 0768.94017 van der Geer, Gerard; Schoof, René; van der Vlugt, Marcel 8 1992 On the Jacobian of a hyperplane section of a surface. Zbl 0787.14017 Ciliberto, Ciro; van der Geer, Gerard 5 1992 Subvarieties of the moduli space of curves parametrizing Jacobians with non-trivial endomorphisms. Zbl 0766.14016 Ciliberto, Ciro; van der Geer, Gerard 4 1992 Weight distributions for a certain class of codes and maximal curves. Zbl 0755.94009 van der Geer, Gerard; van der Vlugt, Marcel 4 1992 Trace codes and families of algebraic curves. Zbl 0767.94018 van der Geer, Gerard; van der Vlugt, Marcel 1 1992 Kloosterman sums and the \(p\)-torsion of certain Jacobians. Zbl 0731.14014 van der Geer, Gerard; van der Vlugt, Marcel 13 1991 Artin-Schreier curves and codes. Zbl 0729.11066 van der Geer, Gerard; van der Vlugt, Marcel 6 1991 Arithmetic algebraic geometry. Proceedings of the conference held on Texel Island, Netherlands, during the last week of April 1989. Zbl 0711.00011 2 1991 Hilbert modular surfaces. Zbl 0634.14022 van der Geer, Gerard 136 1988 Introduction to coding theory and algebraic geometry. II: Algebraic geometry. Zbl 0648.94012 van der Geer, Gerard 15 1988 Introduction to coding theory and algebraic geometry. (Based on lectures given in the seminar held at Schloß Mickeln, Düsseldorf, November 16-21, 1987). Zbl 0639.00048 van Lint, Jacobus H.; van der Geer, Gerard 5 1988 On second order theta functions and the singularities of the theta divisor. (Sur les fonctions thêta d’ordre deux et les singularités du diviseur thêta.) Zbl 0699.14057 Beauville, Arnaud; Debarre, Olivier; Donagi, Ron; van der Geer, Gerard 1 1988 Note on abelian schemes of level three. Zbl 0688.14034 van der Geer, Gerard 9 1987 Kummer varieties and the moduli spaces of Abelian varieties. Zbl 0612.14044 van Geemen, Bert; van der Geer, Gerard 27 1986 The Schottky problem. Zbl 0598.14027 van der Geer, Gerard 1 1985 On the geometry of a Siegel modular threefold. Zbl 0473.14017 van der Geer, G. 28 1982 Families of Abelian surfaces with real multiplication over Hilbert modular surfaces. Zbl 0511.14021 van der Geer, G.; Ueno, K. 1 1982 Lectures on Hilbert modular surfaces. Notes by W. Hausmann and F. J. Koll. Zbl 0483.14009 Hirzebruch, Friedrich; van der Geer, Gerard 9 1981 Minimal models for Hilbert modular surfaces of principal congruence subgroups. Zbl 0418.14021 van der Geer, G. 7 1979 Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\). Zbl 0357.10014 van der Geer, G. 5 1978 The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\). Zbl 0366.10024 van der Geer, G.; Zagier, Don 21 1977 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 956 Authors 40 Van der Geer, Gerard 15 Grushevsky, Samuel 13 Salvati Manni, Riccardo 12 Pries, Rachel J. 10 Montanucci, Maria 9 Bergström, Jonas 9 Dummigan, Neil 9 Ritzenthaler, Christophe 9 van der Vlugt, Marcel 8 Cléry, Fabien 8 Harashita, Shushi 8 Howe, Everett W. 8 Hulek, Klaus 8 Klemm, Albrecht 8 Özbudak, Ferruh 8 Stichtenoth, Henning 7 Beelen, Pieter Hendrik Turdus 7 Bruinier, Jan Hendrik 7 Garcia, Arnaldo 7 Giulietti, Massimo 6 Grundman, Helen G. 6 Hermann, Carl Friedrich 6 Kawakita, Motoko Qiu 6 Korchmáros, Gábor 6 Kudo, Momonari 6 Manschot, Jan 6 McGuire, Gary 6 Nart, Enric 6 Zini, Giovanni 5 Anbar, Nurdagül 5 Catanese, Fabrizio M. E. 5 Faber, Carel Filip 5 Freitag, Eberhard 5 Huang, Minxin 5 Jun, Byungheup 5 Lauter, Kristin Estella 5 Lee, Jungyun 5 McMullen, Curtis Tracy 5 Möller, Martin 5 Oort, Frans 5 Zagier, Don Bernard 4 Achter, Jeffrey D. 4 Bartoli, Daniele 4 Bini, Gilberto 4 Bringmann, Kathrin 4 Chenevier, Gaëtan 4 Choie, YoungJu 4 Connes, Alain 4 Consani, Caterina 4 Ekedahl, Torsten 4 Furrer, Elias 4 Goren, Eyal Z. 4 Görtz, Ulrich 4 Gülmez Temür, Burcu 4 Helleseth, Tor 4 Kani, Ernst J. 4 Katz, Nicholas Michael 4 Le Fourn, Samuel 4 Matone, Marco 4 Pandharipande, Rahul 4 Pirola, Gian Pietro 4 Ramakrishnan, Balakrishnan 4 Rolen, Larry 4 Sahu, Brundaban 4 Tiep Pham Huu 4 Tommasi, Orsola Paola Maria 4 Torres, Fernando 4 Tran, Ha Thanh Nguyen 4 Tsushima, Takahiro 4 Volpato, Roberto 4 Weintraub, Steven Howard 4 Zemel, Shaul 4 Zinov’ev, Viktor Aleksandrovich 3 Aspman, Johannes 3 Auffarth, Robert Frederick II 3 Bassa, Alp 3 Borges, Herivelto 3 Burgos Gil, José Ignacio 3 Chen, Hao 3 Ciliberto, Ciro 3 Datta, Shouvik 3 Debarre, Olivier 3 Dembélé, Lassina 3 Duan, Zhihao 3 Farkas, Gavril 3 Fitzgerald, Robert W. 3 Ghitza, Alexandru 3 Glass, Darren B. 3 Göloğlu, Faruk 3 Grabner, Peter J. 3 Granger, Robert A. 3 Güneri, Cem 3 Heim, Bernhard Ernst 3 Ibukiyama, Tomoyoshi 3 Iyer, Jaya N. N. 3 Izadi, Elham 3 Jang, Junmyeong 3 Jiang, Yunfeng 3 Kane, Ben 3 Kaplan, Nathan ...and 856 more Authors all top 5 Cited in 172 Serials 56 Journal of Number Theory 48 Finite Fields and their Applications 33 Mathematische Annalen 33 Journal of High Energy Physics 25 Mathematische Zeitschrift 22 Journal of Algebra 22 Manuscripta Mathematica 22 Transactions of the American Mathematical Society 22 International Journal of Number Theory 18 Duke Mathematical Journal 18 Inventiones Mathematicae 17 Journal of Pure and Applied Algebra 16 Advances in Mathematics 14 Compositio Mathematica 14 Designs, Codes and Cryptography 14 The Ramanujan Journal 13 Journal für die Reine und Angewandte Mathematik 13 Research in Number Theory 11 Mathematics of Computation 11 Annales de l’Institut Fourier 11 Journal de Théorie des Nombres de Bordeaux 10 Communications in Algebra 10 Proceedings of the American Mathematical Society 10 Journal of Algebraic Geometry 9 Experimental Mathematics 8 Communications in Mathematical Physics 7 Discrete Mathematics 7 Selecta Mathematica. 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Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 3 Cryptography and Communications 3 Forum of Mathematics, Sigma 2 Discrete Applied Mathematics 2 Physics Letters. B 2 Problems of Information Transmission 2 Russian Mathematical Surveys 2 Canadian Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of Combinatorial Theory. Series A 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Advances in Applied Mathematics 2 Forum Mathematicum 2 L’Enseignement Mathématique. 2e Série 2 Bulletin des Sciences Mathématiques 2 Documenta Mathematica 2 Communications in Contemporary Mathematics 2 Journal of Algebra and its Applications 2 Kyoto Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 SIAM Journal on Applied Algebra and Geometry 2 Tunisian Journal of Mathematics 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Moscow University Mathematics Bulletin 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik ...and 72 more Serials all top 5 Cited in 47 Fields 519 Number theory (11-XX) 518 Algebraic geometry (14-XX) 63 Information and communication theory, circuits (94-XX) 60 Quantum theory (81-XX) 47 Several complex variables and analytic spaces (32-XX) 42 Group theory and generalizations (20-XX) 19 Commutative algebra (13-XX) 17 Relativity and gravitational theory (83-XX) 16 Functions of a complex variable (30-XX) 16 Differential geometry (53-XX) 14 Manifolds and cell complexes (57-XX) 13 Combinatorics (05-XX) 13 Topological groups, Lie groups (22-XX) 11 Nonassociative rings and algebras (17-XX) 11 Special functions (33-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Field theory and polynomials (12-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Category theory; homological algebra (18-XX) 6 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 5 Associative rings and algebras (16-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 4 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 \(K\)-theory (19-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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