Ho, Sheng-Yang Kevin On the rational cuspidal divisor class groups of Drinfeld modular curves \(X_0(\mathfrak{p}^r)\). (English) Zbl 07900424 Int. J. Number Theory 20, No. 8, 2099-2123 (2024). MSC: 11G09 11G18 14G35 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krishnamoorthy, Raju; Yang, Jinbang; Zuo, Kang Constructing abelian varieties from rank 2 Galois representations. (English) Zbl 07825738 Compos. Math. 160, No. 4, 709-731 (2024). MSC: 11G05 14K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phillips, Tristan Counting Drinfeld modules with prescribed local conditions. (English) Zbl 07818535 Res. Number Theory 10, No. 1, Paper No. 21, 22 p. (2024). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11G18 11G50 11D45 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran; Wei, Fu-Tsun Drinfeld discriminant function and Fourier expansion of harmonic cochains. (English) Zbl 1544.11055 Math. Ann. 388, No. 2, 1379-1435 (2024). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bieker, Patrick Compactification of level maps of moduli spaces of Drinfeld shtukas. (English) Zbl 1524.14054 J. Algebra 634, 404-455 (2023). MSC: 14G35 11G09 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Frutos-Fernández, María Inés Moduli spaces of shtukas over the projective line. (English. French summary) Zbl 1504.14021 J. Théor. Nombres Bordx. 34, No. 2, 393-418 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 14D24 11G09 14H60 11G18 11R39 14D05 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Görtz, Ulrich; He, Xuhua; Rapoport, Michael Extremal cases of Rapoport-Zink spaces. (English) Zbl 1498.14059 J. Inst. Math. Jussieu 21, No. 5, 1727-1782 (2022). Reviewer: Lei Yang (Beijing) MSC: 14G35 20G25 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Jia-Wei; Wei, Fu-Tsun On class number relations and intersections over function fields. (English) Zbl 1504.11123 Doc. Math. 27, 1321-1368 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11R29 11F30 11G18 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishii, Shun On isogeny characters of Drinfeld modules of rank two. (English) Zbl 1505.11088 Math. Z. 301, No. 1, 455-470 (2022). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 14G05 11T06 11R58 11G18 14H45 11G10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Chao; Liu, Yifeng Chow groups and \(L\)-derivatives of automorphic motives for unitary groups. II. (English) Zbl 1497.11163 Forum Math. Pi 10, Paper No. e5, 71 p. (2022). MSC: 11G18 11G40 11G50 14C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hattori, Shin On the compactification of the Drinfeld modular curve of level \(\Gamma_1^\Delta(\mathfrak{n})\). (English) Zbl 1489.11090 J. Number Theory 232, 75-100 (2022). MSC: 11G09 11F52 14L05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
Okumura, Yoshiaki Parametrization of virtually \(K\)-rational Drinfeld modules of rank two. (English) Zbl 1483.11120 Funct. Approximatio, Comment. Math. 65, No. 2, 157-174 (2021). MSC: 11G09 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Integral \(p\)-adic étale cohomology of Drinfeld symmetric spaces. (English) Zbl 1504.14041 Duke Math. J. 170, No. 3, 575-613 (2021). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14F30 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breuer, Florian; Pazuki, Fabien; Razafinjatovo, Mahefason Heriniaina Heights and isogenies of Drinfeld modules. (English) Zbl 1468.11131 Acta Arith. 197, No. 2, 111-128 (2021). Reviewer: Oğuz Gezmiş (Hsinchu) MSC: 11G09 11G50 14G17 14G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Häberli, Simon Satake compactification of analytic Drinfeld modular varieties. (English) Zbl 1466.11036 J. Number Theory 219, 1-92 (2021). Reviewer: Oğuz Gezmiş (Hsinchu) MSC: 11G09 11G18 14M27 11F52 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ma, Shouhei Rational equivalence of cusps. (English) Zbl 1440.14026 Ann. \(K\)-Theory 5, No. 3, 395-410 (2020). MSC: 14C15 14G35 11F55 11F46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hedayatzadeh, S. Mohammad Hadi Tensor constructions on \(z\)-divisible local Anderson modules. (English) Zbl 1467.11056 J. Number Theory 213, 116-151 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Kondo, Satoshi; Yasuda, Seidai Regularity of quotients of Drinfeld modular schemes. (English) Zbl 1465.11111 Pac. J. Math. 304, No. 2, 481-503 (2020). MSC: 11F32 11G09 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gekeler, Ernst-Ulrich Towers of \(\mathrm{GL}(r)\)-type of modular curves. (English) Zbl 1444.11124 J. Reine Angew. Math. 754, 87-141 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11G18 11R32 11R58 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Fu-Tsun; Yamazaki, Takao Rational torsion of generalized Jacobians of modular and Drinfeld modular curves. (English) Zbl 1444.11126 Forum Math. 31, No. 3, 647-659 (2019). MSC: 11G09 11G18 11F03 14H40 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wei Periods, cycles, and \(L\)-functions: a relative trace formula approach. (English) Zbl 1443.11078 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 487-521 (2018). MSC: 11F67 11F72 11F70 14C25 14G35 14H60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bassa, Alp; Beelen, Peter On the Deuring polynomial for Drinfeld modules in Legendre form. (English) Zbl 1416.11065 Acta Arith. 186, No. 2, 179-190 (2018). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11F52 11G09 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Snowden, Andrew; Tsimerman, Jacob Constructing elliptic curves from Galois representations. (English) Zbl 1466.11035 Compos. Math. 154, No. 10, 2045-2054 (2018). MSC: 11G05 14K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yun, Zhiwei; Zhang, Wei Shtukas and the Taylor expansion of \(L\)-functions. (English) Zbl 1385.11032 Ann. Math. (2) 186, No. 3, 767-911 (2017). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F67 14G35 11F70 14H60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran; Wei, Fu-Tsun The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains. (English) Zbl 1385.11039 Math. Z. 287, No. 1-2, 521-546 (2017). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11G18 11F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rapoport, Michael; Zink, Thomas On the Drinfeld moduli problem of \(p\)-divisible groups. (English) Zbl 1402.14062 Camb. J. Math. 5, No. 2, 229-279 (2017). Reviewer: Ulrich Görtz (Essen) MSC: 14L05 14D20 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran; Wei, Fu-Tsun On the Eisenstein ideal over function fields. (English) Zbl 1431.11077 J. Number Theory 161, 384-434 (2016). MSC: 11G09 11G18 11F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vincent, Christelle Weierstrass points on the Drinfeld modular curve \({X_{0}(\mathfrak {p})}\). (English) Zbl 1416.11087 Res. Math. Sci. 2, Paper No. 10, 40 p. (2015). MSC: 11G09 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran; Wei, Fu-Tsun The Eisenstein ideal and Jacquet-Langlands isogeny over function fields. (English) Zbl 1393.11049 Doc. Math. 20, 551-629 (2015). MSC: 11G09 11G18 11F12 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Kudla, Stephen; Rapoport, Michael New cases of \(p\)-adic uniformization. (English. French summary) Zbl 1398.11094 Bost, Jean-Benoît (ed.) et al., De la géométrie algébrique aux formes automorphes (II). Une collection d’articles en l’honneur du soixantième anniversaire de Gérard Laumon. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-806-0/pbk). Astérisque 370, 243-267 (2015). MSC: 11G18 11G15 14K10 14G20 × Cite Format Result Cite Review PDF Full Text: arXiv
Cornelissen, Gunther; Kato, Fumiharu; Kool, Janne A combinatorial Li-Yau inequality and rational points on curves. (English) Zbl 1341.11034 Math. Ann. 361, No. 1-2, 211-258 (2015). Reviewer: Liang-Chung Hsia (Taipei) MSC: 11G09 11G18 11G30 05C50 14G05 14G22 14H51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kudla, Stephen; Rapoport, Michael An alternative description of the Drinfeld \(p\)-adic half-plane. (Une interprétation alternative du demi-plan de Drinfeld \(p\)-adique.) (English. French summary) Zbl 1316.11051 Ann. Inst. Fourier 64, No. 3, 1203-1228 (2014). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G18 11G09 11G15 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Molina, Santiago; Rotger, Victor Automorphisms and reduction of Heegner points on Shimura curves at Čerednik-Drinfeld primes. (English) Zbl 1306.11049 Proc. Am. Math. Soc. 142, No. 2, 381-390 (2014). Reviewer: Aristides Kontogeorgis (Panepistimiopolis) MSC: 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Niles, Andrew Moduli of elliptic curves via twisted stable maps. (English) Zbl 1333.11057 Algebra Number Theory 7, No. 9, 2141-2202 (2013). MSC: 11G18 14K10 14H10 14D23 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hubschmid, Patrik The André-Oort conjecture for Drinfeld modular varieties. (English) Zbl 1356.11032 Compos. Math. 149, No. 4, 507-567 (2013). MSC: 11G09 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mieda, Yoichi Lefschetz trace formula and \(\ell\)-adic cohomology of Lubin-Tate tower. (English) Zbl 1285.22016 Math. Res. Lett. 19, No. 1, 95-107 (2012). Reviewer: Liang Xiao (Irvine) MSC: 22E50 11S37 14F20 14G35 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armana, Cécile Torsion of Drinfeld modules of rank 2 and Drinfeld modular forms. (Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld.) (French. English summary) Zbl 1297.11056 Algebra Number Theory 6, No. 6, 1239-1288 (2012). MSC: 11G09 11F52 11G18 14G05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kondo, Satoshi; Yasuda, Seidai Zeta elements in the \(K\)-theory of Drinfeld modular varieties. (English) Zbl 1305.11054 Math. Ann. 354, No. 2, 529-587 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G09 11F52 11F67 × Cite Format Result Cite Review PDF Full Text: DOI
Breuer, Florian Special subvarieties of Drinfeld modular varieties. (English) Zbl 1297.11057 J. Reine Angew. Math. 668, 35-57 (2012). Reviewer: Xiao Xiao (Utica) MSC: 11G09 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kohlhaase, Jan Lubin-Tate and Drinfeld bundles. (English) Zbl 1287.11076 Tohoku Math. J. (2) 63, No. 2, 217-254 (2011). Reviewer: Gergely Zábrádi (Budapest) MSC: 11G18 11F80 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Papikian, Mihran On Jacquet-Langlands isogeny over function fields. (English) Zbl 1245.11074 J. Number Theory 131, No. 7, 1149-1175 (2011). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) (MR 2782835) MSC: 11G18 11G09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Spieß, Michael Twists of Drinfeld-Stuhler modular varieties. (English) Zbl 1257.11057 Doc. Math. Extra Vol., Andrei A. Suslin’s Sixtieth Birthday, 595-654 (2010). Reviewer: Aristides Kontogeorgis (Panepistimiopolis) MSC: 11G09 11G18 14G22 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Mieda, Yoichi Non-cuspidality outside the middle degree of \(\ell \)-adic cohomology of the Lubin-Tate tower. (English) Zbl 1198.22011 Adv. Math. 225, No. 4, 2287-2297 (2010). Reviewer: Goran Muić (Zagreb) MSC: 22E50 14G35 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sreekantan, Ramesh \(K_1\) of products of Drinfeld modular curves and special values of \(L\)-functions. (English) Zbl 1223.11065 Compos. Math. 146, No. 4, 886-918 (2010). Reviewer: Matilde Lalin (Montreal) MSC: 11F52 11G40 19F27 14G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pál, Ambrus The rigid analytical regulator and \(K_2\) of Drinfeld modular curves. (English) Zbl 1198.19004 Publ. Res. Inst. Math. Sci. 46, No. 2, 289-334 (2010). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 19C20 11G18 11G05 11G40 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hausberger, Thomas On the realizations of the Langlands correspondences in the cohomology of the Drinfeld and Lubin-Tate towers. (Sur les réalisations des correspondances de Langlands dans la cohomologie des tours de Drinfeld et de Lubin-Tate.) (French. English summary) Zbl 1226.11066 Algèbre et théorie des nombres. Années 2007–2009. Besançon: Laboratoire de Mathématiques de Besançon. Publications Mathématiques de l’Université de Franche-Comté Besançon. Algèbre et Théorie des Nombres 2007-2009, 33-77 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11G09 11G10 11G18 11-02 11R39 11S37 11F70 11F80 14G22 14G35 14L05 × Cite Format Result Cite Review PDF
Lehmkuhl, Thomas Compactification of the Drinfeld modular surfaces. (English) Zbl 1179.11014 Mem. Am. Math. Soc. 921, 94 p. (2009). Reviewer: Oliver Petras (Bonn) MSC: 11G09 14G35 14B20 13D10 × Cite Format Result Cite Review PDF Full Text: DOI
Bassa, Alp; Garcia, Arnaldo; Stichtenoth, Henning A new tower over cubic finite fields. (English) Zbl 1156.11045 Mosc. Math. J. 8, No. 3, 401-418 (2008). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11R58 11G20 14G35 14G05 × Cite Format Result Cite Review PDF Full Text: Link
Álvarez Vazquez, Arturo Ideal class group annihilators. (English) Zbl 1180.11018 Acta Arith. 135, No. 2, 111-136 (2008). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11G20 11G40 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran Modular curves of \(\mathcal{D}\)-elliptic sheaves are asymptotically optimal. (English) Zbl 1241.11066 Math. Res. Lett. 15, No. 2-3, 525-536 (2008). Reviewer: Aristides Kontogeorgis (Panepistimiopolis) MSC: 11G18 11G20 11G09 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Ngô, Bao Châu; Ngô, Tuân Dac Counting of \(G\)-shtukas: the elliptic regular set. (Comptage de \(G\)-chtoucas: La partie régulière elliptique.) (French) Zbl 1141.22005 J. Inst. Math. Jussieu 7, No. 1, 181-203 (2008). Reviewer: Werner Kleinert (Berlin) MSC: 22E55 11F70 11G09 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Mantovan, Elena A compactification of Igusa varieties. (English) Zbl 1176.14005 Math. Ann. 340, No. 2, 265-292 (2008). Reviewer: Ulrich Görtz (Essen) MSC: 14G35 11G18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Strauch, Matthias Deformation spaces of one-dimensional formal modules and their cohomology. (English) Zbl 1140.22017 Adv. Math. 217, No. 3, 889-951 (2008). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E50 20G25 14G35 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fargues, Laurent; Genestier, Alain; Lafforgue, Vincent The isomorphism between Lubin-Tate and Drinfeld towers. (L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld.) (French) Zbl 1136.14001 Progress in Mathematics 262. Basel: Birkhäuser (ISBN 978-3-7643-8455-5/hbk). xii, 406 p. (2008). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14-02 11-02 14L05 11F85 11S31 11R39 14G22 14G35 × Cite Format Result Cite Review PDF
Pál, Ambrus On the Eisenstein ideal of Drinfeld modular curves. (English) Zbl 1152.11024 Int. J. Number Theory 3, No. 4, 557-598 (2007). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G18 11G09 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conrad, Brian Arithmetic moduli of generalized elliptic curves. (English) Zbl 1140.14018 J. Inst. Math. Jussieu 6, No. 2, 209-278 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 14G22 14H52 11G05 11G18 14H10 14A20 11F11 11F25 × Cite Format Result Cite Review PDF Full Text: DOI
Fargues, Laurent Application of the Hodge-Tate dual of a Lubin-Tate group, Bruhat-Tits building of the linear group and ramification filtrations. (Application de Hodge-Tate duale d’un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe linéaire et filtrations de ramification.) (French) Zbl 1136.14013 Duke Math. J. 140, No. 3, 499-590 (2007). Reviewer: Ulrich Görtz (Bonn) MSC: 14G35 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghioca, Dragos The Tate-Voloch conjecture for Drinfeld modules. (English) Zbl 1113.11035 J. Number Theory 125, No. 1, 85-94 (2007). Reviewer: Andreas Schweizer (Exeter) MSC: 11G09 11G50 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran Analogue of the degree conjecture over function fields. (English) Zbl 1230.11078 Trans. Am. Math. Soc. 359, No. 7, 3483-3503 (2007). MSC: 11G18 11G05 11G09 × Cite Format Result Cite Review PDF Full Text: DOI
Breuer, Florian CM points on products of Drinfeld modular curves. (English) Zbl 1198.11054 Trans. Am. Math. Soc. 359, No. 3, 1351-1374 (2007). MSC: 11G09 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran The number of rational points on Drinfeld modular varieties over finite fields. (English) Zbl 1125.11036 Int. Math. Res. Not. 2006, No. 26, Article ID 94356, 36 p. (2006). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G25 11G09 14G15 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Papikian, Mihran On the torsion of optimal elliptic curves over function fields. (English) Zbl 1160.11032 Math. Res. Lett. 13, No. 2-3, 321-331 (2006). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
Breuer, Florian; Pink, Richard Monodromy groups associated to non-isotrivial Drinfeld modules in generic characteristic. (English) Zbl 1128.11030 van der Geer, Gerard (ed.) et al., Number fields and function fields – two parallel worlds. Boston, MA: Birkhäuser (ISBN 0-8176-4397-4/hbk; 0-8176-4447-4/e-book). Prog. Math. 239, 61-69 (2005). Reviewer: Lenny Taelman (Leiden) MSC: 11G09 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran On the variation of Tate-Shafarevich groups of elliptic curves over hyperelliptic curves. (English) Zbl 1096.11020 J. Number Theory 115, No. 2, 249-283 (2005). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G05 11G09 11G40 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
Bezerra, Juscelino; Garcia, Arnaldo; Stichtenoth, Henning An explicit tower of function fields over cubic finite fields and Zink’s lower bound. (English) Zbl 1159.11046 J. Reine Angew. Math. 589, 159-199 (2005). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11R58 11G20 14G35 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Pál, Ambrus On the torsion of the Mordell-Weil group of the Jacobian of Drinfeld modular curves. (English) Zbl 1119.11031 Doc. Math. 10, 131-198 (2005). Reviewer: Imin Chen (Burnaby) MSC: 11G18 11G09 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Papikian, Mihran Pesenti-Szpiro inequality for optimal elliptic curves. (English) Zbl 1084.11027 J. Number Theory 114, No. 2, 361-393 (2005). Reviewer: Andreas Schweizer (Exeter) MSC: 11G05 11G18 14G22 × Cite Format Result Cite Review PDF Full Text: DOI
Hausberger, Thomas Uniformization of Laumon-Rapoport-Stuhler varieties and Drinfeld-Carayol conjecture. (Uniformisation des variétés de Laumon-Rapoport-Stuhler et conjecture de Drinfeld-Carayol.) (French) Zbl 1138.11329 Ann. Inst. Fourier 55, No. 4, 1285-1371 (2005). MSC: 11G18 11S37 11G09 14G22 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Papikian, Mihran On component groups of Jacobians of Drinfeld modular curves. (English) Zbl 1071.11034 Ann. Inst. Fourier 54, No. 7, 2163-2199 (2004). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G18 11G10 11G09 14G22 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Brown, M. L. Heegner modules and elliptic curves. (English) Zbl 1146.11029 Lecture Notes in Mathematics 1849. Berlin: Springer (ISBN 3-540-22290-1/pbk). x, 517 p. (2004). Reviewer: Werner Kleinert (Berlin) MSC: 11F52 11G05 11-02 11G09 11G40 11R58 14J27 × Cite Format Result Cite Review PDF Full Text: DOI
Schweizer, Andreas On Drinfeld modular curves with many rational points over finite fields. (English) Zbl 1031.11036 Finite Fields Appl. 8, No. 4, 434-443 (2002). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11G18 11G20 11R58 × Cite Format Result Cite Review PDF Full Text: DOI
Papikian, Mihran On the degree of modular parametrizations over function fields. (English) Zbl 1067.11034 J. Number Theory 97, No. 2, 317-349 (2002). MSC: 11G18 11F52 11G05 × Cite Format Result Cite Review PDF Full Text: DOI
Lafforgue, Laurent Drinfeld shtukas and Langlands correspondence. (Chtoucas de Drinfeld et correspondance de Langlands.) (French) Zbl 1038.11075 Invent. Math. 147, No. 1, 1-241 (2002). Reviewer: Igor Potemine (Toulouse) MSC: 11R39 11F52 11F70 11G09 14G35 14H60 22E55 × Cite Format Result Cite Review PDF Full Text: DOI
Schweizer, Andreas Bielliptic Drinfeld modular curves. (English) Zbl 1017.11029 Asian J. Math. 5, No. 4, 705-720 (2001). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11G18 14G05 14H45 11G30 14G35 14G25 × Cite Format Result Cite Review PDF Full Text: DOI
Jeon, Daeyeol; Kim, Chang Heon On the singular values of the Drinfeld modular function \(\mu\). (English) Zbl 0989.11022 J. Number Theory 91, No. 2, 274-283 (2001). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11F52 11G15 11R37 × Cite Format Result Cite Review PDF Full Text: DOI
Gekeler, Ernst-Ulrich Invariants of some algebraic curves related to Drinfeld modular curves. (English) Zbl 0979.11036 J. Number Theory 90, No. 1, 166-183 (2001). Reviewer: Marc Reversat (Toulouse) MSC: 11G18 11G09 × Cite Format Result Cite Review PDF Full Text: DOI DOI
Lachaud, Gilles; Vlăduţ, Serge Gauss problem for function fields. (English) Zbl 1014.11072 J. Number Theory 85, No. 2, 109-129 (2000). Reviewer: Gabriel D.Villa-Salvador (México) MSC: 11R58 11R60 11R37 14G15 14H40 11G18 11G30 11G20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kudla, Stephen S.; Rapoport, Michael Height pairings on Shimura curves and \(p\)-adic uniformization. (English) Zbl 1009.11043 Invent. Math. 142, No. 1, 153-223 (2000). Reviewer: M. Rapoport (Köln) MSC: 11G18 14G35 14L05 11M36 11G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tipp, Ulrich; Rück, Hans-Georg Heegner points and \(L\)-series of automorphic cusp forms of Drinfeld type. (English) Zbl 1012.11039 Doc. Math. 5, 365-444 (2000). MSC: 11F52 11G09 11G40 11F67 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Gekeler, Ernst-Ulrich A note on the finiteness of certain cuspidal divisor class groups. (English) Zbl 1009.11041 Isr. J. Math. 118, 357-368 (2000). MSC: 11G18 14G35 11G09 × Cite Format Result Cite Review PDF Full Text: DOI
Jordan, Bruce W.; Livné, Ron On Atkin-Lehner quotients of Shimura curves. (English) Zbl 1024.11043 Bull. Lond. Math. Soc. 31, No. 6, 681-685 (1999). MSC: 11G18 14G35 11G10 14H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rück, Hans-Georg; Tipp, Ulrich A Gross-Zagier formula for function fields. (English) Zbl 0973.11063 Matzat, B. Heinrich (ed.) et al., Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. Berlin: Springer. 121-137 (1999). Reviewer: E.-U.Gekeler (Saarbrücken) MSC: 11G09 11G18 14G35 × Cite Format Result Cite Review PDF
Varshavsky, Yakov \(p\)-adic uniformization of unitary Shimura varieties. II. (English) Zbl 0923.11092 J. Differ. Geom. 49, No. 1, 75-113 (1998). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11G18 14G35 11G25 14G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schweizer, Andreas Involutory elliptic curves over \(\mathbb{F}_q(T)\). (English) Zbl 0930.11040 J. Théor. Nombres Bordx. 10, No. 1, 107-123 (1998). Reviewer: M.Reversat (Toulouse) MSC: 11G18 11G05 11G09 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Lafforgue, Laurent A compactification of the stacks classifying Drinfeld’s shtukas. (Une compactification des champs classifiant les chtoucas de Drinfeld.) (French) Zbl 1045.11041 J. Am. Math. Soc. 11, No. 4, 1001-1036 (1998). MSC: 11G09 11G20 14G35 11R39 × Cite Format Result Cite Review PDF Full Text: DOI
Lafforgue, L. Drinfeld shtukas and applications. (Chtoucas de Drinfeld et applications.) (French) Zbl 0921.11026 Doc. Math., Extra Vol. ICM Berlin 1998, vol. II, 563-570 (1998). Reviewer: A.N.Parshin (Göttingen) MSC: 11F70 11G09 14F20 14G35 11G18 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Bertolini, Massimo; Darmon, Henri Heegner points, \(p\)-adic \(L\)-functions, and the Cherednik-Drinfeld uniformization. (English) Zbl 0899.11029 Invent. Math. 131, No. 3, 453-491 (1998). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11G40 14G10 11G05 11F67 × Cite Format Result Cite Review PDF Full Text: DOI
Laumon, Gérard [Waldspurger, Jean-Loup] Cohomology of Drinfeld modular varieties. Part II: Automorphic forms, trace formulas and Langlands correspondence. With an appendix by Jean-Loup Waldspurger. (English) Zbl 0870.14016 Cambridge Studies in Advanced Mathematics. 56. Cambridge: Cambridge University Press. xi, 366 p. (1997). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14G35 11G09 14G25 14-02 11R58 14L05 11-02 × Cite Format Result Cite Review PDF
Schweizer, Andreas Hyperelliptic Drinfeld modular curves. (English) Zbl 0930.11039 Gekeler, E.-U. (ed.) et al., Proceedings of the workshop on Drinfeld modules, modular schemes and applications, Alden-Biesen, Belgium, September 9–14, 1996. Singapore: World Scientific. 330-343 (1997). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G18 11G05 11G09 × Cite Format Result Cite Review PDF
Gekeler, Ernst-Ulrich Jacquet-Langlands theory over \(K\) and relations with elliptic curves. (English) Zbl 0929.11051 Gekeler, E.-U. (ed.) et al., Proceedings of the workshop on Drinfeld modules, modular schemes and applications, Alden-Biesen, Belgium, September 9–14, 1996. Singapore: World Scientific. 224-257 (1997). Reviewer: Marc Reversat (Toulouse) MSC: 11R39 11G05 11F52 11G18 × Cite Format Result Cite Review PDF
Saïdi, Mohamed Moduli schemes of Drinfeld modules. (English) Zbl 0920.11038 Gekeler, E.-U. (ed.) et al., Proceedings of the workshop on Drinfeld modules, modular schemes and applications, Alden-Biesen, Belgium, September 9–14, 1996. Singapore: World Scientific. 17-31 (1997). Reviewer: E.-U.Gekeler (Saarbrücken) MSC: 11G09 14G35 14G40 × Cite Format Result Cite Review PDF
Gekeler, Ernst-Ulrich On the cuspidal divisor class group of a Drinfeld modular curve. (English) Zbl 0895.11024 Doc. Math. 2, 351-374 (1997). Reviewer: M.Reversat (Toulouse) MSC: 11G09 11G18 11F11 14G35 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Gekeler, Ernst-Ulrich On the Drinfeld discriminant function. (English) Zbl 0930.11031 Compos. Math. 106, No. 2, 181-202 (1997). Reviewer: M.Reversat (Toulouse) MSC: 11F52 11G09 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
Gekeler, E.-U.; Reversat, M. Jacobians of Drinfeld modular curves. (English) Zbl 0848.11029 J. Reine Angew. Math. 476, 27-93 (1996). Reviewer: E.-U. Gekeler (Saarbrücken) MSC: 11G09 14G35 14H40 11G05 × Cite Format Result Cite Review PDF Full Text: DOI Crelle EuDML
Laumon, Gérard Cohomology of Drinfeld modular varieties. Part 1: Geometry, counting of points and local harmonic analysis. (English) Zbl 0837.14018 Cambridge Studies in Advanced Mathematics. 41. Cambridge: Cambridge University Press. xiii, 344 p. £40.00; $ 64.95 (1996). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14G35 11G09 14-02 11-02 × Cite Format Result Cite Review PDF
Brown, M. L. On a conjecture of Tate for elliptic surfaces over finite fields. (English) Zbl 0842.14011 Proc. Lond. Math. Soc., III. Ser. 69, No. 3, 489-514 (1994). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 14G10 14H05 14G05 11G40 14J27 × Cite Format Result Cite Review PDF Full Text: DOI
Gekeler, E.-U.; Reversat, M. Some results on the Jacobians of Drinfeld modular curves. (English) Zbl 0827.11036 Goss, David (ed.) et al., The arithmetic of function fields. Proceedings of the workshop at the Ohio State University, June 17-26, 1991, Columbus, Ohio (USA). Berlin: Walter de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 2, 209-226 (1992). Reviewer: M.van der Put (Groningen) MSC: 11G09 14H40 11-02 14G35 11F12 × Cite Format Result Cite Review PDF
Brown, M. L. Singular moduli and supersingular moduli of Drinfeld modules. (English) Zbl 0767.11028 Invent. Math. 110, No. 2, 419-439 (1992). Reviewer: D.Goss (Columbus / Ohio) MSC: 11G09 11T55 11G15 14H25 14H10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Vlǎduţ, S. G. Kronecker’s Jugendtraum and modular functions. Transl. from the Russian by M. Tsfasman. (English) Zbl 0731.11001 Studies in the Development of Modern Mathematics, 2. New York etc.: Gordon and Breach Science Publishers. x, 411 p. $ 90.00; £46.00 (1991). Reviewer: W.Kleinert (Berlin) MSC: 11-02 11F03 11G15 14K22 14-02 14G35 14H10 01A55 01A75 11-03 × Cite Format Result Cite Review PDF
Boutot, J.-F.; Carayol, H. \(p\)-adic uniformization of Shimura curves: the theorems of Cherednik and Drinfeld. (Uniformisation \(p\)-adique des courbes de Shimura: Les théorèmes de Čerednik et de Drinfeld.) (French) Zbl 0781.14010 Courbes modulaires et courbes de Shimura, C. R. Sémin., Orsay/Fr. 1987-88, Astérisque 196-197, 45-158 (1991). Reviewer: Frank Herrlich (Karlsruhe) MSC: 14G20 14G35 11G09 14H25 14L05 × Cite Format Result Cite Review PDF Backlinks: MO