Эллиптические модули
В. Г. Дринфельд

Эта публикация цитируется в следующих статьяx:

1. Dawid E. Kȩdzierski, Piotr Krasoń, “Weil-Barsotti formula for T-modules”, Journal of Number Theory, 278 (2026), 1  
2. A. W. Mason, Andreas Schweizer, “On the automorphisms of the Drinfeld modular groups”, J. Algebra Appl., 25:06 (2026)  
3. Jack Morgan Davies, “On Lurie's theorem and applications”, Math. Z., 309:2 (2025)  
4. Urs Hartl, Chia‐Fu Yu, “Arithmetic Satake compactifications and algebraic Drinfeld modular forms”, Journal of London Math Soc, 111:4 (2025)  
5. Changningphaabi Namoijam, “Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules”, Alg. Number Th., 19:7 (2025), 1259  
6. Filip Głoch, Dawid E. Kȩdzierski, Piotr Krasoń, “Algorithms for determination of T-module structures on some extension groups”, Int. J. Number Theory, 21:08 (2025), 1889  
7. Oğuz Gezmiş, Sriram Chinthalagiri Venkata, “On nearly holomorphic Drinfeld modular forms for admissible coefficient rings”, Res. number theory, 11:4 (2025)  
8. Dawid Edmund Kȩdzierski, Piotr Krasoń, “On Ext1 for Drinfeld modules”, Journal of Number Theory, 256 (2024), 97  
9. Antoine Leudière, Pierre-Jean Spaenlehauer, “Computing a group action from the class field theory of imaginary hyperelliptic function fields”, Journal of Symbolic Computation, 125 (2024), 102311  
10. Yingying Wang, “Cohomology and geometry of Deligne–Lusztig varieties for $\textrm{GL}_n$”, Math. Z., 306:4 (2024)  
11. Patrick Bieker, “Integral Models of Moduli Spaces of Shtukas with Deep Bruhat-Tits Level Structures”, International Mathematics Research Notices, 2024:14 (2024), 10559  
12. Sheng-Yang Kevin Ho, “On the rational cuspidal divisor class groups of Drinfeld modular curves X0(𝔭r)”, Int. J. Number Theory, 20:08 (2024), 2099  
13. Baiqing Zhu, “The regularity of difference divisors”, Math. Ann., 2024  
14. Sheng-Yang Kevin Ho, “The rational torsion subgroup of $J_0(\mathfrak {p}^r)$”, Res Math Sci, 11:4 (2024)  
15. Jerson Caro, “Watkins's conjecture for elliptic curves over function fields”, Math. Z., 308:3 (2024)  
16. Andreas Mihatsch, “δ-Forms on Lubin–Tate spaces”, Duke Math. J., 173:14 (2024)  
17. Ernst-Ulrich Gekeler, “On Drinfeld modular forms of higher rank VII: Expansions at the Boundary”, Journal of Number Theory, 2024  
18. Yossef Musleh, Éric Schost, Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023, 461  
19. Kwun Chung, “Factorization of coefficients for exponential and logarithm in function fields”, Journal of Number Theory, 245 (2023), 263  
20. David Ayotte, Xavier Caruso, Antoine Leudière, Joseph Musleh, “Drinfeld Modules in SageMath”, ACM Commun. Comput. Algebra, 57:2 (2023), 65  
21. Patrick Bieker, “Compactification of level maps of moduli spaces of Drinfeld shtukas”, Journal of Algebra, 634 (2023), 404  
22. Shin Hattori, “On the compactification of the Drinfeld modular curve of level Γ1Δ(n)”, Journal of Number Theory, 232 (2022), 75  
23. Qirui Li, “An intersection formula for CM cycles on Lubin–Tate spaces”, Duke Math. J., 171:9 (2022)  
24. Ehud de Shalit, Infosys Science Foundation Series, Perfectoid Spaces, 2022, 245  
25. S. Ehbauer, A. Grishkov, D. Logachev, “Calculation of h1 of some Anderson t-motives”, J. Algebra Appl., 21:01 (2022)  
26. Congling Qiu, “The Gross–Zagier–Zhang formula over function fields”, Math. Ann., 384:1-2 (2022), 625  
27. Annie Carter, Matthias Strauch, “Lubin–Tate Deformation Spaces and Fields of Norms”, Journal de Théorie des Nombres de Bordeaux, 33:2 (2021), 433  
28. Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa, “CM liftings of surfaces over finite fields and their applications to the Tate conjecture”, Forum of Mathematics, Sigma, 9 (2021)  
29. Aristides Kontogeorgis, Jacob Kenneth Ward, “Arithmetic actions on cyclotomic function fields”, Journal of Pure and Applied Algebra, 225:1 (2021), 106478  
30. E Arasteh Rad, Urs Hartl, “Uniformizing the Moduli Stacks of Global G-Shtukas”, International Mathematics Research Notices, 2021:21 (2021), 16121  
31. Yoshiaki Okumura, “Parametrization of virtually $K$-rational Drinfeld modules of rank two”, Funct. Approx. Comment. Math., 65:2 (2021)  
32. Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł, “Integral p-adic étale cohomology of Drinfeld symmetric spaces”, Duke Math. J., 170:3 (2021)  
33. Urs Hartl, Rajneesh Kumar Singh, “Product formulas for periods of CM abelian varieties and the function field analog”, Journal of Number Theory, 218 (2021), 62  
34. N. M. Glazunov, “On Langlands program, global fields and shtukas”, Чебышевский сб., 21:3 (2020), 68–83    
35. Fu-Tsun Wei, “On Kronecker terms over global function fields”, Invent. math., 220:3 (2020), 847  
36. Urs Hartl, Rajneesh Kumar Singh, “PERIODS OF DRINFELD MODULES AND LOCAL SHTUKAS WITH COMPLEX MULTIPLICATION”, J. Inst. Math. Jussieu, 19:1 (2020), 175  
37. Mihir Sheth, “Locally analytic representations in the étale coverings of the Lubin-Tate moduli space”, Isr. J. Math., 239:1 (2020), 369  
38. Perlas Caranay, Matthew Greenberg, Renate Scheidler, Contemporary Mathematics, 754, 75 Years of Mathematics of Computation, 2020, 283  
39. Fu‐Tsun Wei, “On derivatives of Siegel–Eisenstein series over global function fields”, J. London Math. Soc., 100:2 (2019), 518  
40. Yossef Musleh, Éric Schost, Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019, 307  
41. Yoshiaki OKUMURA, “A FUNCTION FIELD ANALOGUE OF THE RASMUSSEN-TAMAGAWA CONJECTURE: THE DRINFELD MODULE CASE”, Kyushu J. Math., 73:2 (2019), 295  
42. Alexander B. Goncharov, “Hodge correlators”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2019:748 (2019), 1  
43. Zhengjun Zhao, Qingzhong Ji, “Zsigmondy theorem for arithmetic dynamics induced by a drinfeld module”, Int. J. Number Theory, 15:06 (2019), 1111  
44. Mihran Papikian, Fu-Tsun Wei, “The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains”, Math. Z., 287:1-2 (2017), 521  
45. Tobias Barthel, Nathaniel Stapleton, “Brown–Peterson cohomology from Morava -theory”, Compositio Math., 153:4 (2017), 780  
46. Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro, “Stark units in positive characteristic”, Proceedings of the London Mathematical Society, 115:4 (2017), 763  
47. Mihran Papikian, Fu-Tsun Wei, “On the Eisenstein ideal over function fields”, Journal of Number Theory, 2015    
48. Gebhard Böckle, Tommaso Centeleghe, “Hecke characters associated to Drinfeld modular forms”, Compositio Math, 2015, 1    
49. Masataka Chida, Satoshi Kondo, Takuya Yamauchi, “On the rational K 2 of a curve of GL2 type over a global field of positive characteristic”, J. K-Theory, 2014, 1    
50. A. W. Mason, Andreas Schweizer, “Elliptic points of the Drinfeld modular groups”, Math. Z, 2014    
51. Jan Kohlhaase, “On the Iwasawa theory of the Lubin–Tate moduli space”, Compositio Math, 2013, 1    
52. Bertrand Rémy, Amaury Thuillier, Annette Werner, “Automorphisms of Drinfeld half-spaces over a finite field”, Compositio Math, 2013, 1    
53. P. Ingram, “A Lower Bound for the Canonical Height Associated to a Drinfeld Module”, International Mathematics Research Notices, 2013    
54. Van Order J., “On the Dihedral Main Conjectures of Iwasawa Theory for Hilbert Modular Eigenforms”, Can. J. Math.-J. Can. Math., 65:2 (2013), 403–466        
55. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 11  
56. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 79  
57. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 37  
58. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 45  
59. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 105  
60. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 73  
61. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 93  
62. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 113  
63. A. W. MASON, ANDREAS SCHWEIZER, “THE STABILIZERS IN A DRINFELD MODULAR GROUP OF THE VERTICES OF ITS BRUHAT–TITS TREE: AN ELEMENTARY APPROACH”, Int. J. Algebra Comput., 23:07 (2013), 1653  
64. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 27  
65. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 139  
66. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 17  
67. Yuval Z. Flicker, SpringerBriefs in Mathematics, Drinfeld Moduli Schemes and Automorphic Forms, 2013, 67  
68. Mihran Papikian, Contemporary Mathematics, 605, Tropical and Non-Archimedean Geometry, 2013, 123  
69. Chieh-Yu Chang, “On periods of the third kind for rank 2 Drinfeld module”, Math. Z, 2012    
70. Seunghwan Chang, Yoonjin Lee, “Galois characters arising from Drinfeld modules”, Journal of Number Theory, 2012    
71. Ana Caraiani, “Local-global compatibility and the action of monodromy on nearby cycles”, Duke Math. J., 161:12 (2012)  
72. Jan Kohlhaase, “Admissible φ-modules and p-adic unitary representations”, Math. Z, 2011    
73. Mihran Papikian, “On Jacquet–Langlands isogeny over function fields”, Journal of Number Theory, 131:7 (2011), 1149      
74. Satoshi Kondo, Seidai Yasuda, “Zeta elements in the K-theory of Drinfeld modular varieties”, Math. Ann, 354:2 (2011), 529    
75. Bornhofen M., Hartl U., “Pure Anderson motives and abelian $\tau$-sheaves”, Math. Z., 2010    
76. Ambrus Pál, “On the torsion of Drinfeld modules of rank two”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2010:640 (2010), 1      
77. Yoichi Mieda, “Non-cuspidality outside the middle degree of ℓ-adic cohomology of the Lubin–Tate tower”, Advances in Mathematics, 225:4 (2010), 2287      
78. Matthias Strauch, “Galois actions on torsion points of one-dimensional formal modules”, Journal of Number Theory, 130:3 (2010), 528      
79. Mihran Papikian, “Modular varieties of �-elliptic sheaves and the Weil-Deligne bound”, crll, 2009:626 (2009), 115        
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82. Urs Hartl, “A dictionary between Fontaine-Theory and its analogue in equal characteristic”, Journal of Number Theory, 129:7 (2009), 1734      
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90. AMBRUS PÁL, “ON THE Eisenstein IDEAL OF DrinfelD MODULAR CURVES”, Int. J. Number Theory, 03:04 (2007), 557    
91. Laurent Fargues, “Application de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe linéaire et filtrations de ramification”, Duke Math. J., 140:3 (2007)  
92. Ambrus Pál, “Proof of an exceptional zero conjecture for elliptic curves over function fields”, Math Z, 254:3 (2006), 461        
93. Hilmar Hauer, Ignazio Longhi, “Teitelbaum's exceptional zero conjecture in the function field case”, crll, 2006:591 (2006), 149      
94. Gert-Jan van der Heiden, “Drinfeld modular curve and Weil pairing”, Journal of Algebra, 299:1 (2006), 374      
95. Richard Pink, “The Galois representations associated to a Drinfeld module in special characteristic—I: Zariski density”, Journal of Number Theory, 116:2 (2006), 324      
96. LENNY TAELMAN, “DIEUDONNÉ DETERMINANTS FOR SKEW POLYNOMIAL RINGS”, J. Algebra Appl, 05:01 (2006), 89    
97. Sean Keel, Jenia Tevelev, “Geometry of Chow quotients of Grassmannians”, Duke Math. J., 134:2 (2006)  
98. Yacine Aït Amrane, “Cohomology of Drinfeld symmetric spaces and Harmonic cochains”, Annales de l'Institut Fourier, 56:3 (2006), 561  
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100. “ON THE GLOBAL MINIMAL DrinfelD MODULE EQUATIONS”, Bulletin of the Korean Mathematical Society, 42:3 (2005), 485    
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107. Annette Werner, “Compactification of the Bruhat-Tits building of PGL by seminorms”, Math. Z., 248:3 (2004), 511  
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115. Ernst-Ulrich Gekeler, “Invariants of Some Algebraic Curves Related to Drinfeld Modular Curves”, Journal of Number Theory, 90:1 (2001), 166      
116. John A Rhodes, “Automorphic Forms, Definite Quaternion Algebras, and Atkin–Lehner Theory on Trees”, Journal of Number Theory, 86:2 (2001), 210      
117. Ehud De Shalit, “Residues on buildings and de Rham cohomology of p-adic symmetric domains”, Duke Math. J., 106:1 (2001)  
118. Viet NguyenKhac, Shin-ichiro Yamada, “On $d$-gonality of Drinfel'd modular curves and strong Uniform Boundedness Conjecture”, Proc. Japan Acad. Ser. A Math. Sci., 77:7 (2001)  
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