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: 105 Publications since 1977, including 5 Books 11 Contributions as Editor Reviewing Activity: 30 Reviews Co-Authors: 40 Co-Authors with 89 Joint Publications 1,312 Co-Co-Authors all top 5 Co-Authors 26 single-authored 23 van der Vlugt, Marcel 12 Faber, Carel Filip 10 Cléry, Fabien 8 Kouvidakis, Alexis 7 Ciliberto, Ciro 6 Katsura, Toshiyuki 4 Bergström, Jonas 4 Ekedahl, Torsten 3 Bruinier, Jan Hendrik 3 Moonen, Ben 3 Oort, Frans 3 Schoof, René 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 Debarre, Olivier 1 Demailly, Jean-Pierre 1 Dijkgraaf, Robbert H. 1 Donagi, Ron Y. 1 Grushevsky, Samuel 1 Hacon, Christopher Derek 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 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 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 Mathematische Nachrichten 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 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 104 Algebraic geometry (14-XX) 63 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) 3 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 1 Commutative algebra (13-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 92 Publications have been cited 975 times in 726 Documents Cited by ▼ Year ▼ Hilbert modular surfaces. Zbl 0634.14022van der Geer, Gerard 122 1988 The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Zbl 1197.11047Bruinier, Jan Hendrik; van der Geer, Gerard; Harder, Günter; Zagier, Don 95 2008 Siegel modular forms and their applications. Zbl 1259.11051van der Geer, Gerard 50 2008 Cycles on the moduli space of abelian varieties. Zbl 0974.14031van der Geer, Gerard 36 1999 Tables of curves with many points. Zbl 0965.11028van der Geer, Gerard; van der Vlugt, Marcel 34 2000 Reed-Muller codes and supersingular curves. I. Zbl 0804.14014van der Geer, Gerard; van der Vlugt, Marcel 30 1992 Kummer varieties and the moduli spaces of Abelian varieties. Zbl 0612.14044van Geemen, Bert; van der Geer, Gerard 26 1986 On the geometry of a Siegel modular threefold. Zbl 0473.14017van der Geer, G. 24 1982 Siegel modular forms of degree three and the cohomology of local systems. Zbl 1343.11051Bergström, Jonas; Faber, Carel; van der Geer, Gerard 23 2014 The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\). Zbl 0366.10024van der Geer, G.; Zagier, Don 19 1977 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 1062.14034Faber, Carel; van der Geer, Gerard 19 2004 Cycle classes of the E-O stratification on the moduli of abelian varieties. Zbl 1200.14089Ekedahl, Torsten; van der Geer, Gerard 18 2009 Supersingular curves of genus 2 over finite fields of characteristic 2. Zbl 0774.14045van der Geer, Gerard; van der Vlugt, Marcel 17 1992 Effectivity of Arakelov divisors and the theta divisor of a number field. Zbl 1030.11063van der Geer, Gerard; Schoof, René 17 2000 On the height of Calabi-Yau varieties in positive characteristic. Zbl 1074.14524van der Geer, G.; Katsura, T. 15 2003 Introduction to coding theory and algebraic geometry. II: Algebraic geometry. Zbl 0648.94012van der Geer, Gerard 15 1988 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 1055.14026Faber, Carel; van der Geer, Gerard 15 2004 Fibre products of Artin-Schreier curves and generalized Hamming weights of codes. Zbl 0824.94025van der Geer, Gerard; van der Vlugt, Marcel 14 1995 Curves over finite fields and codes. Zbl 1025.11022van der Geer, Gerard 14 2001 Complete subvarieties of moduli spaces and the Prym map. Zbl 1075.14023Faber, Carel; van der Geer, Gerhard 14 2004 On the existence of supersingular curves of given genus. Zbl 0819.11022van der Geer, Gerard; van der Vlugt, Marcel 13 1995 Kloosterman sums and the \(p\)-torsion of certain Jacobians. Zbl 0731.14014van der Geer, Gerard; van der Vlugt, Marcel 13 1991 Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures. Zbl 1210.11060Bergström, Jonas; Faber, Carel; van der Geer, Gerard 12 2008 How to construct curves over finite fields with many points. Zbl 0884.11027van der Geer, Gerard; van der Vlugt, Marcel 12 1997 An asymptotically good tower of curves over the field with eight elements. Zbl 1062.11037van der Geer, Gerard; van der Vlugt, Marcel 12 2002 On a stratification of the moduli of \(K3\) surfaces. Zbl 0983.14020van der Geer, G.; Katsura, T. 12 2000 Coding theory and algebraic curves over finite fields. Zbl 1011.11042van der Geer, G. 11 2001 Generalized Reed-Muller codes and curves with many points. Zbl 0914.94019van der Geer, G.; van der Vlugt, M. 10 1998 The Chow ring of the moduli space of abelian threefolds. Zbl 0952.14003van der Geer, Gerard 9 1998 Siegel modular forms of genus 2 and level 2. Zbl 1344.14019Cléry, Fabien; van der Geer, Gerard; Grushevsky, Samuel 9 2015 Weight formulas for ternary Melas codes. Zbl 0768.94017van der Geer, Gerard; Schoof, René; van der Vlugt, Marcel 8 1992 On the number of parameters of curves whose Jacobians possess nontrivial endomorphisms. Zbl 0806.14020Ciliberto, Ciro; van der Geer, Gerard; Teixidor i Bigas, Montserrat 8 1992 Note on abelian schemes of level three. Zbl 0688.14034van der Geer, Gerard 8 1987 Hunting for curves with many points. Zbl 1248.11044van der Geer, Gerard 8 2009 On the minimality of certain Hilbert modular surfaces. Zbl 0349.14022van der Geer, G.; van de Ven, A. 8 1977 Covariants of binary sextics and vector-valued Siegel modular forms of genus two. Zbl 1427.11042Cléry, Fabien; Faber, Carel; van der Geer, Gerard 8 2017 Andreotti-Mayer loci and the Schottky problem. Zbl 1164.14008Ciliberto, Ciro; van der Geer, Gerard 7 2008 Minimal models for Hilbert modular surfaces of principal congruence subgroups. Zbl 0418.14021van der Geer, G. 7 1979 Quadratic forms, generalized Hamming weights of codes and curves with many points. Zbl 0872.94052van der Geer, Gerard; van der Vlugt, Marcel 7 1996 Curves over finite fields of characteristic 2 with many rational points. Zbl 0787.14033van der Geer, Gerard; van der Vlugt, Marcel 7 1993 On generalized Hamming weights of BCH codes. Zbl 0837.94023van der Geer, Gerard; van der Vlugt, Marcel 7 1994 Cycle classes on the moduli of \(K3\) surfaces in positive characteristic. Zbl 1317.14012Ekedahl, Torsten; van der Geer, Gerard 7 2015 Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. Zbl 1348.14098Cléry, Fabien; van der Geer, Gerard 7 2015 Lectures on Hilbert modular surfaces. Notes by W. Hausmann and F. J. Koll. Zbl 0483.14009Hirzebruch, Friedrich; van der Geer, Gerard 6 1981 Generalized Hamming weights of codes and curves over finite fields with many points. Zbl 0855.11028van der Geer, G.; van der Vlugt, M. 6 1996 Cycles representing the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1090.14002Ekedahl, Torsten; van der Geer, Gerard 6 2005 Moduli of abelian varieties: a short introduction and survey. Zbl 0979.14022van der Geer, Gerard; Oort, Frans 6 1999 The second generalized Hamming weight of the dual codes of double-error correcting binary BCH-codes. Zbl 0869.94038van der Geer, G.; van der Vlugt, M. 5 1995 Artin-Schreier curves and codes. Zbl 0729.11066van der Geer, Gerard; van der Vlugt, Marcel 5 1991 Kummer covers with many points. Zbl 1021.11023van der Geer, Gerard; van der Vlugt, Marcel 5 2000 Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\). Zbl 0357.10014van der Geer, G. 5 1978 Generators for modules of vector-valued Picard modular forms. Zbl 1285.11080Cléry, Fabien; van der Geer, Gerard 5 2013 The moduli space of abelian varieties and the singularities of the theta divisor. Zbl 1091.14012Ciliberto, Ciro; van der Geer, Gerard 5 2000 Subvarieties of the moduli space of curves parametrizing Jacobians with non-trivial endomorphisms. Zbl 0766.14016Ciliberto, Ciro; van der Geer, Gerard 4 1992 Weight distributions for a certain class of codes and maximal curves. Zbl 0755.94009van der Geer, Gerard; van der Vlugt, Marcel 4 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 0639.00048van Lint, Jacobus H.; van der Geer, Gerard 4 1988 The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three. Zbl 1156.14032Bergström, Jonas; van der Geer, Gerard 4 2008 Generalized Hamming weights of Melas codes and dual Melas codes. Zbl 0815.94013van der Geer, Gerard; van der Vlugt, Marcel 4 1994 An invariant for varieties in positive characteristic. Zbl 1048.14026van der Geer, G.; Katsura, T. 4 2002 The Hodge bundle on Hurwitz spaces. Zbl 1316.14053van der Geer, Gerard; Kouvidakis, Alexis 4 2011 Rank one Eisenstein cohomology of local systems on the moduli space of abelian varieties. Zbl 1242.14034van der Geer, Gerard 4 2011 The cohomology of the moduli space of abelian varieties. Zbl 1322.14019van der Geer, Gerard 4 2015 On the Jacobian of a hyperplane section of a surface. Zbl 0787.14017Ciliberto, Ciro; van der Geer, Gerard 3 1992 The class of a Hurwitz divisor on the moduli of curves of even genus. Zbl 1263.14035van der Geer, Gerard; Kouvidakis, Alexis 3 2012 The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves. Zbl 1077.14036Bini, Gilberto; van der Geer, Gerard 3 2005 Formal Brauer groups and moduli of Abelian surfaces. Zbl 1033.14029van der Geer, G.; Katsura, T. 3 2001 Note on tautological classes of moduli of \(K3\) surface. Zbl 1124.14011van der Geer, Gerard; Katsura, Toshiyuki 3 2005 Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three. Zbl 1465.11119Cléry, Fabien; Faber, Carel; van der Geer, Gerard 3 2020 Counting curves over finite fields. Zbl 1378.11071van der Geer, Gerard 3 2015 The order of the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1061.14041Ekedahl, Torsten; van der Geer, Gerard 3 2004 A note on Fano surfaces of nodal cubic threefolds. Zbl 1215.14045van der Geer, Gerard; Kouvidakis, Alexis 2 2010 The rank-one limit of the Fourier-Mukai transform. Zbl 1202.14009van der Geer, Gerard; Kouvidakis, Alexis 2 2010 The moduli space of curves. Proceedings of the conference held on Texel Island, Netherlands during the last week of April 1994. Zbl 0827.00037 2 1995 Points of degree \(d\) on curves over number fields. Zbl 0811.14029van der Geer, Gerard 2 1993 Non-isomorphic curves of genus four with isomorphic (non-polarized) Jacobians. Zbl 0823.14011Ciliberto, Ciro; van der Geer, Gerard 2 1994 Corrigendum: “The Chow ring of the moduli space of abelian threefolds”. Zbl 1172.14304van der Geer, Gerard 2 2009 Constructing curves over finite fields with many points by solving linear equations. Zbl 1054.11506van der Geer, Gerard; van der Vlugt, Marcel 2 1999 Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023 2 2001 Number fields and function fields – two parallel worlds. Zbl 1078.11002 2 2005 Covariants of binary sextics and modular forms of degree 2 with character. Zbl 1470.11070Cléry, Fabien; Faber, Carel; van der Geer, Gerard 2 2019 The cycle classes of divisorial Maroni loci. Zbl 1405.14067van der Geer, Gerard; Kouvidakis, Alexis 2 2017 On vector-valued Siegel modular forms of degree 2 and weight \((j,2)\). Zbl 1454.11088Cléry, Fabien; van der Geer, Gerard 2 2018 Trace codes and families of algebraic curves. Zbl 0767.94018van der Geer, Gerard; van der Vlugt, Marcel 1 1992 Relations between some invariants of algebraic varieties in positive characteristic. Zbl 1267.14035van der Geer, Gerard; Katsura, Toshiyuki 1 2013 Modular forms. Zbl 1228.11056Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 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 0699.14057Beauville, Arnaud; Debarre, Olivier; Donagi, Ron; van der Geer, Gerard 1 1988 Classification of algebraic varieties. Based on the conference on classification of varieties, Schiermonnikoog, Netherlands, May 2009. Zbl 1203.14003 1 2011 Generalized Hamming weights of BCH(3) revisited. Zbl 0827.94029van der Geer, Gerard; van der Vlugt, Marcel 1 1995 Modular forms on Schiermonnikoog. Based on the conference on modular forms, Schiermonnikoog, Netherlands, October 2006. Zbl 1149.11002Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 The coset weight distributions of certain BCH codes and a family of curves. Zbl 1048.94020van der Geer, G.; van der Vlugt, M. 1 2002 Cycle relations on Jacobian varieties. With an appendix by Don Zagier. Zbl 1125.14005van der Geer, Gerard; Kouvidakis, Alexis 1 2007 Families of Abelian surfaces with real multiplication over Hilbert modular surfaces. Zbl 0511.14021van der Geer, G.; Ueno, K. 1 1982 Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three. Zbl 1465.11119Cléry, Fabien; Faber, Carel; van der Geer, Gerard 3 2020 Covariants of binary sextics and modular forms of degree 2 with character. Zbl 1470.11070Cléry, Fabien; Faber, Carel; van der Geer, Gerard 2 2019 On vector-valued Siegel modular forms of degree 2 and weight \((j,2)\). Zbl 1454.11088Cléry, Fabien; van der Geer, Gerard 2 2018 Covariants of binary sextics and vector-valued Siegel modular forms of genus two. Zbl 1427.11042Cléry, Fabien; Faber, Carel; van der Geer, Gerard 8 2017 The cycle classes of divisorial Maroni loci. Zbl 1405.14067van der Geer, Gerard; Kouvidakis, Alexis 2 2017 Siegel modular forms of genus 2 and level 2. Zbl 1344.14019Cléry, Fabien; van der Geer, Gerard; Grushevsky, Samuel 9 2015 Cycle classes on the moduli of \(K3\) surfaces in positive characteristic. Zbl 1317.14012Ekedahl, Torsten; van der Geer, Gerard 7 2015 Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. Zbl 1348.14098Cléry, Fabien; van der Geer, Gerard 7 2015 The cohomology of the moduli space of abelian varieties. Zbl 1322.14019van der Geer, Gerard 4 2015 Counting curves over finite fields. Zbl 1378.11071van der Geer, Gerard 3 2015 Siegel modular forms of degree three and the cohomology of local systems. Zbl 1343.11051Bergström, Jonas; Faber, Carel; van der Geer, Gerard 23 2014 Generators for modules of vector-valued Picard modular forms. Zbl 1285.11080Cléry, Fabien; van der Geer, Gerard 5 2013 Relations between some invariants of algebraic varieties in positive characteristic. Zbl 1267.14035van der Geer, Gerard; Katsura, Toshiyuki 1 2013 The class of a Hurwitz divisor on the moduli of curves of even genus. Zbl 1263.14035van der Geer, Gerard; Kouvidakis, Alexis 3 2012 The Hodge bundle on Hurwitz spaces. Zbl 1316.14053van der Geer, Gerard; Kouvidakis, Alexis 4 2011 Rank one Eisenstein cohomology of local systems on the moduli space of abelian varieties. Zbl 1242.14034van 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 1215.14045van der Geer, Gerard; Kouvidakis, Alexis 2 2010 The rank-one limit of the Fourier-Mukai transform. Zbl 1202.14009van der Geer, Gerard; Kouvidakis, Alexis 2 2010 Cycle classes of the E-O stratification on the moduli of abelian varieties. Zbl 1200.14089Ekedahl, Torsten; van der Geer, Gerard 18 2009 Hunting for curves with many points. Zbl 1248.11044van der Geer, Gerard 8 2009 Corrigendum: “The Chow ring of the moduli space of abelian threefolds”. Zbl 1172.14304van der Geer, Gerard 2 2009 The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Zbl 1197.11047Bruinier, Jan Hendrik; van der Geer, Gerard; Harder, Günter; Zagier, Don 95 2008 Siegel modular forms and their applications. Zbl 1259.11051van der Geer, Gerard 50 2008 Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures. Zbl 1210.11060Bergström, Jonas; Faber, Carel; van der Geer, Gerard 12 2008 Andreotti-Mayer loci and the Schottky problem. Zbl 1164.14008Ciliberto, Ciro; van der Geer, Gerard 7 2008 The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three. Zbl 1156.14032Bergström, Jonas; van der Geer, Gerard 4 2008 Modular forms. Zbl 1228.11056Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 Modular forms on Schiermonnikoog. Based on the conference on modular forms, Schiermonnikoog, Netherlands, October 2006. Zbl 1149.11002Edixhoven, Bas; van der Geer, Gerard; Moonen, Ben 1 2008 Cycle relations on Jacobian varieties. With an appendix by Don Zagier. Zbl 1125.14005van der Geer, Gerard; Kouvidakis, Alexis 1 2007 Cycles representing the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1090.14002Ekedahl, Torsten; van der Geer, Gerard 6 2005 The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves. Zbl 1077.14036Bini, Gilberto; van der Geer, Gerard 3 2005 Note on tautological classes of moduli of \(K3\) surface. Zbl 1124.14011van der Geer, Gerard; Katsura, Toshiyuki 3 2005 Number fields and function fields – two parallel worlds. Zbl 1078.11002 2 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 1062.14034Faber, Carel; van der Geer, Gerard 19 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 1055.14026Faber, Carel; van der Geer, Gerard 15 2004 Complete subvarieties of moduli spaces and the Prym map. Zbl 1075.14023Faber, Carel; van der Geer, Gerhard 14 2004 The order of the top Chern class of the Hodge bundle on the moduli space of abelian varieties. Zbl 1061.14041Ekedahl, Torsten; van der Geer, Gerard 3 2004 On the height of Calabi-Yau varieties in positive characteristic. Zbl 1074.14524van der Geer, G.; Katsura, T. 15 2003 An asymptotically good tower of curves over the field with eight elements. Zbl 1062.11037van der Geer, Gerard; van der Vlugt, Marcel 12 2002 An invariant for varieties in positive characteristic. Zbl 1048.14026van der Geer, G.; Katsura, T. 4 2002 The coset weight distributions of certain BCH codes and a family of curves. Zbl 1048.94020van der Geer, G.; van der Vlugt, M. 1 2002 Curves over finite fields and codes. Zbl 1025.11022van der Geer, Gerard 14 2001 Coding theory and algebraic curves over finite fields. Zbl 1011.11042van der Geer, G. 11 2001 Formal Brauer groups and moduli of Abelian surfaces. Zbl 1033.14029van 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 2 2001 Tables of curves with many points. Zbl 0965.11028van der Geer, Gerard; van der Vlugt, Marcel 34 2000 Effectivity of Arakelov divisors and the theta divisor of a number field. Zbl 1030.11063van der Geer, Gerard; Schoof, René 17 2000 On a stratification of the moduli of \(K3\) surfaces. Zbl 0983.14020van der Geer, G.; Katsura, T. 12 2000 Kummer covers with many points. Zbl 1021.11023van der Geer, Gerard; van der Vlugt, Marcel 5 2000 The moduli space of abelian varieties and the singularities of the theta divisor. Zbl 1091.14012Ciliberto, Ciro; van der Geer, Gerard 5 2000 Cycles on the moduli space of abelian varieties. Zbl 0974.14031van der Geer, Gerard 36 1999 Moduli of abelian varieties: a short introduction and survey. Zbl 0979.14022van der Geer, Gerard; Oort, Frans 6 1999 Constructing curves over finite fields with many points by solving linear equations. Zbl 1054.11506van der Geer, Gerard; van der Vlugt, Marcel 2 1999 Generalized Reed-Muller codes and curves with many points. Zbl 0914.94019van der Geer, G.; van der Vlugt, M. 10 1998 The Chow ring of the moduli space of abelian threefolds. Zbl 0952.14003van der Geer, Gerard 9 1998 How to construct curves over finite fields with many points. Zbl 0884.11027van der Geer, Gerard; van der Vlugt, Marcel 12 1997 Quadratic forms, generalized Hamming weights of codes and curves with many points. Zbl 0872.94052van der Geer, Gerard; van der Vlugt, Marcel 7 1996 Generalized Hamming weights of codes and curves over finite fields with many points. Zbl 0855.11028van der Geer, G.; van der Vlugt, M. 6 1996 Fibre products of Artin-Schreier curves and generalized Hamming weights of codes. Zbl 0824.94025van der Geer, Gerard; van der Vlugt, Marcel 14 1995 On the existence of supersingular curves of given genus. Zbl 0819.11022van der Geer, Gerard; van der Vlugt, Marcel 13 1995 The second generalized Hamming weight of the dual codes of double-error correcting binary BCH-codes. Zbl 0869.94038van 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 2 1995 Generalized Hamming weights of BCH(3) revisited. Zbl 0827.94029van der Geer, Gerard; van der Vlugt, Marcel 1 1995 On generalized Hamming weights of BCH codes. Zbl 0837.94023van der Geer, Gerard; van der Vlugt, Marcel 7 1994 Generalized Hamming weights of Melas codes and dual Melas codes. Zbl 0815.94013van der Geer, Gerard; van der Vlugt, Marcel 4 1994 Non-isomorphic curves of genus four with isomorphic (non-polarized) Jacobians. Zbl 0823.14011Ciliberto, Ciro; van der Geer, Gerard 2 1994 Curves over finite fields of characteristic 2 with many rational points. Zbl 0787.14033van der Geer, Gerard; van der Vlugt, Marcel 7 1993 Points of degree \(d\) on curves over number fields. Zbl 0811.14029van der Geer, Gerard 2 1993 Reed-Muller codes and supersingular curves. I. Zbl 0804.14014van der Geer, Gerard; van der Vlugt, Marcel 30 1992 Supersingular curves of genus 2 over finite fields of characteristic 2. Zbl 0774.14045van der Geer, Gerard; van der Vlugt, Marcel 17 1992 Weight formulas for ternary Melas codes. Zbl 0768.94017van der Geer, Gerard; Schoof, René; van der Vlugt, Marcel 8 1992 On the number of parameters of curves whose Jacobians possess nontrivial endomorphisms. Zbl 0806.14020Ciliberto, Ciro; van der Geer, Gerard; Teixidor i Bigas, Montserrat 8 1992 Subvarieties of the moduli space of curves parametrizing Jacobians with non-trivial endomorphisms. Zbl 0766.14016Ciliberto, Ciro; van der Geer, Gerard 4 1992 Weight distributions for a certain class of codes and maximal curves. Zbl 0755.94009van der Geer, Gerard; van der Vlugt, Marcel 4 1992 On the Jacobian of a hyperplane section of a surface. Zbl 0787.14017Ciliberto, Ciro; van der Geer, Gerard 3 1992 Trace codes and families of algebraic curves. Zbl 0767.94018van der Geer, Gerard; van der Vlugt, Marcel 1 1992 Kloosterman sums and the \(p\)-torsion of certain Jacobians. Zbl 0731.14014van der Geer, Gerard; van der Vlugt, Marcel 13 1991 Artin-Schreier curves and codes. Zbl 0729.11066van der Geer, Gerard; van der Vlugt, Marcel 5 1991 Hilbert modular surfaces. Zbl 0634.14022van der Geer, Gerard 122 1988 Introduction to coding theory and algebraic geometry. II: Algebraic geometry. Zbl 0648.94012van 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 0639.00048van Lint, Jacobus H.; van der Geer, Gerard 4 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 0699.14057Beauville, Arnaud; Debarre, Olivier; Donagi, Ron; van der Geer, Gerard 1 1988 Note on abelian schemes of level three. Zbl 0688.14034van der Geer, Gerard 8 1987 Kummer varieties and the moduli spaces of Abelian varieties. Zbl 0612.14044van Geemen, Bert; van der Geer, Gerard 26 1986 On the geometry of a Siegel modular threefold. Zbl 0473.14017van der Geer, G. 24 1982 Families of Abelian surfaces with real multiplication over Hilbert modular surfaces. Zbl 0511.14021van der Geer, G.; Ueno, K. 1 1982 Lectures on Hilbert modular surfaces. Notes by W. Hausmann and F. J. Koll. Zbl 0483.14009Hirzebruch, Friedrich; van der Geer, Gerard 6 1981 Minimal models for Hilbert modular surfaces of principal congruence subgroups. Zbl 0418.14021van der Geer, G. 7 1979 Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\). Zbl 0357.10014van der Geer, G. 5 1978 The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\). Zbl 0366.10024van der Geer, G.; Zagier, Don 19 1977 On the minimality of certain Hilbert modular surfaces. Zbl 0349.14022van der Geer, G.; van de Ven, A. 8 1977 all cited Publications top 5 cited Publications all top 5 Cited by 811 Authors 37 Van der Geer, Gerard 14 Grushevsky, Samuel 12 Pries, Rachel J. 12 Salvati Manni, Riccardo 9 Montanucci, Maria 9 van der Vlugt, Marcel 8 Bergström, Jonas 8 Dummigan, Neil 8 Özbudak, Ferruh 8 Ritzenthaler, Christophe 8 Stichtenoth, Henning 7 Beelen, Pieter Hendrik Turdus 7 Bruinier, Jan Hendrik 7 Garcia, Arnaldo 7 Giulietti, Massimo 7 Harashita, Shushi 7 Howe, Everett W. 7 Hulek, Klaus 7 Klemm, Albrecht 6 Cléry, Fabien 6 Hermann, Carl Friedrich 6 Kawakita, Motoko Qiu 6 McGuire, Gary 6 Nart, Enric 5 Anbar, Nurdagül 5 Faber, Carel Filip 5 Freitag, Eberhard 5 Jun, Byungheup 5 Korchmáros, Gábor 5 Kudo, Momonari 5 Lauter, Kristin Estella 5 Lee, Jungyun 5 McMullen, Curtis Tracy 5 Oort, Frans 5 Zini, Giovanni 4 Achter, Jeffrey D. 4 Bini, Gilberto 4 Catanese, Fabrizio M. E. 4 Chenevier, Gaëtan 4 Ekedahl, Torsten 4 Goren, Eyal Z. 4 Görtz, Ulrich 4 Grundman, Helen G. 4 Gülmez Temür, Burcu 4 Helleseth, Tor 4 Kani, Ernst J. 4 Manschot, Jan 4 Möller, Martin 4 Pandharipande, Rahul 4 Pirola, Gian Pietro 4 Ramakrishnan, Balakrishnan 4 Sahu, Brundaban 4 Tommasi, Orsola Paola Maria 4 Torres, Fernando 4 Weintraub, Steven Howard 4 Zagier, Don Bernard 4 Zinov’ev, Viktor Aleksandrovich 3 Bartoli, Daniele 3 Bassa, Alp 3 Borges, Herivelto 3 Bringmann, Kathrin 3 Ciliberto, Ciro 3 Datta, Shouvik 3 Debarre, Olivier 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 Huang, Minxin 3 Ibukiyama, Tomoyoshi 3 Iyer, Jaya N. N. 3 Izadi, Elham 3 Jang, Junmyeong 3 Jiang, Yunfeng 3 Kaplan, Nathan 3 Katsura, Toshiyuki 3 Kawakami, Tatsuro 3 Kontogeorgis, Aristides I. 3 Korpas, Georgios 3 Le Fourn, Samuel 3 Liedtke, Christian 3 Matone, Marco 3 Meher, Jaban 3 Movasati, Hossein 3 Piazza, Francesco Dalla 3 Quoos, Luciane 3 Rolen, Larry 3 Sam, Steven V. 3 Schwagenscheidt, Markus 3 Tang, Yunqing 3 Tran, Ha Thanh Nguyen 3 Verra, Alessandro 3 Virdol, Cristian 3 Volpato, Roberto ...and 711 more Authors all top 5 Cited in 162 Serials 46 Finite Fields and their Applications 42 Journal of Number Theory 31 Mathematische Annalen 26 Journal of High Energy Physics 22 Journal of Algebra 22 Mathematische Zeitschrift 22 International Journal of Number Theory 21 Manuscripta Mathematica 21 Transactions of the American Mathematical Society 18 Inventiones Mathematicae 17 Duke Mathematical Journal 15 Journal of Pure and Applied Algebra 14 Advances in Mathematics 14 Compositio Mathematica 12 Journal für die Reine und Angewandte Mathematik 11 Annales de l’Institut Fourier 11 Designs, Codes and Cryptography 11 The Ramanujan Journal 10 Mathematics of Computation 10 Journal of Algebraic Geometry 9 Communications in Algebra 9 Proceedings of the American Mathematical Society 9 Journal de Théorie des Nombres de Bordeaux 9 Research in Number Theory 7 Experimental Mathematics 7 Research in the Mathematical Sciences 6 Discrete Mathematics 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Functiones et Approximatio. Commentarii Mathematici 6 Journal of the American Mathematical Society 6 Selecta Mathematica. New Series 5 Communications in Mathematical Physics 5 Nagoya Mathematical Journal 5 European Journal of Mathematics 4 Acta Mathematica 4 Geometriae Dedicata 4 Geometry & Topology 4 Advances in Geometry 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of the Institute of Mathematics of Jussieu 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Algebra & Number Theory 3 Israel Journal of Mathematics 3 Nuclear Physics. B 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin de la Société Mathématique de France 3 Journal of the Mathematical Society of Japan 3 Memoirs of the American Mathematical Society 3 International Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Mathematical Sciences (New York) 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 3 Advances in Mathematics of Communications 3 Cryptography and Communications 2 Discrete Applied Mathematics 2 Letters in Mathematical Physics 2 Problems of Information Transmission 2 Acta Arithmetica 2 Canadian Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Publications Mathématiques 2 Journal of Combinatorial Theory. Series A 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Advances in Applied Mathematics 2 Journal of Symbolic Computation 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin des Sciences Mathématiques 2 Documenta Mathematica 2 Communications in Contemporary Mathematics 2 Kyoto Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Forum of Mathematics, Sigma 2 Tunisian Journal of Mathematics 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal ...and 62 more Serials all top 5 Cited in 47 Fields 463 Algebraic geometry (14-XX) 440 Number theory (11-XX) 60 Information and communication theory, circuits (94-XX) 43 Quantum theory (81-XX) 40 Several complex variables and analytic spaces (32-XX) 34 Group theory and generalizations (20-XX) 16 Relativity and gravitational theory (83-XX) 15 Differential geometry (53-XX) 14 Commutative algebra (13-XX) 14 Functions of a complex variable (30-XX) 13 Manifolds and cell complexes (57-XX) 12 Topological groups, Lie groups (22-XX) 10 Combinatorics (05-XX) 9 Special functions (33-XX) 8 Field theory and polynomials (12-XX) 8 Nonassociative rings and algebras (17-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 \(K\)-theory (19-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-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 Geometry (51-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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