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Picard modular surface

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83: 141: 151: 146: 105:"Sur une extension aux fonctions de deux variables du problème de Riemann relatif aux fonctions hypergéométriques" 136: 53: 58: 37: 79: 41: 116: 71: 93: 89: 29: 100: 21: 104: 130: 44:
and are sometimes used as a test case for the general theory of Shimura varieties.
120: 40:. Picard modular surfaces are some of the simplest examples of 109:
Annales Scientifiques de l'École Normale Supérieure
32:constructed as a quotient of the unit ball in 76:The zeta functions of Picard modular surfaces 8: 74:; Ramakrishnan, Dinakar, eds. (1992), 25: 7: 14: 78:, Montreal, QC: Univ. MontrĂ©al, 1: 168: 54:Hilbert modular surface 59:Siegel modular variety 18:Picard modular surface 72:Langlands, Robert P. 38:Picard modular group 142:Algebraic surfaces 121:10.24033/asens.203 16:In mathematics, a 152:Langlands program 147:Automorphic forms 85:978-2-921120-08-1 42:Shimura varieties 159: 137:Complex surfaces 123: 96: 167: 166: 162: 161: 160: 158: 157: 156: 127: 126: 99: 86: 70: 67: 50: 30:complex surface 12: 11: 5: 165: 163: 155: 154: 149: 144: 139: 129: 128: 125: 124: 97: 84: 66: 63: 62: 61: 56: 49: 46: 13: 10: 9: 6: 4: 3: 2: 164: 153: 150: 148: 145: 143: 140: 138: 135: 134: 132: 122: 118: 114: 110: 106: 102: 101:Picard, Émile 98: 95: 91: 87: 81: 77: 73: 69: 68: 64: 60: 57: 55: 52: 51: 47: 45: 43: 39: 35: 31: 27: 23: 20:, studied by 19: 112: 108: 75: 33: 17: 15: 115:: 305–322, 111:, SĂ©rie 2, 131:Categories 65:References 103:(1881), 48:See also 28:), is a 94:1155233 24: ( 92:  82:  22:Picard 36:by a 80:ISBN 26:1881 117:doi 133:: 113:10 107:, 90:MR 88:, 119:: 34:C

Index

Picard
1881
complex surface
Picard modular group
Shimura varieties
Hilbert modular surface
Siegel modular variety
Langlands, Robert P.
ISBN
978-2-921120-08-1
MR
1155233
Picard, Émile
"Sur une extension aux fonctions de deux variables du problème de Riemann relatif aux fonctions hypergéométriques"
doi
10.24033/asens.203
Categories
Complex surfaces
Algebraic surfaces
Automorphic forms
Langlands program

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