Moments, Monodromy, and Perversity: A Diophantine PerspectiveIt is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure" algebro-geometric families of character sums over finite fields (and of their associated L-functions). Roughly speaking, Deligne showed that any such family obeys a "generalized Sato-Tate law," and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the "geometric monodromy group" attached to that family. |
Contents
II | 9 |
III | 12 |
IV | 13 |
V | 21 |
VI | 24 |
VII | 25 |
VIII | 31 |
IX | 36 |
LIX | 221 |
LX | 233 |
LXI | 240 |
LXII | 245 |
LXIII | 248 |
LXIV | 253 |
LXV | 255 |
LXVI | 270 |
X | 42 |
XI | 44 |
XII | 45 |
XIII | 47 |
XIV | 50 |
XV | 52 |
XVI | 60 |
XVII | 61 |
XVIII | 62 |
XX | 64 |
XXI | 67 |
XXII | 76 |
XXIII | 87 |
XXIV | 93 |
XXV | 94 |
XXVI | 96 |
XXVII | 97 |
XXVIII | 98 |
XXIX | 102 |
XXX | 104 |
XXXI | 111 |
XXXIII | 112 |
XXXIV | 113 |
XXXV | 122 |
XXXVI | 123 |
XXXVII | 129 |
XXXVIII | 136 |
XXXIX | 138 |
XLI | 144 |
XLII | 146 |
XLIII | 149 |
XLIV | 156 |
XLV | 158 |
XLVI | 161 |
XLVIII | 166 |
XLIX | 174 |
L | 178 |
LI | 179 |
LII | 185 |
LIV | 188 |
LV | 191 |
LVI | 200 |
LVII | 207 |
LVIII | 210 |
LXVII | 281 |
LXVIII | 285 |
LXIX | 287 |
LXX | 291 |
LXXI | 295 |
LXXIII | 303 |
LXXIV | 308 |
LXXV | 312 |
LXXVI | 317 |
LXXVII | 321 |
LXXIX | 324 |
LXXX | 327 |
LXXXII | 330 |
LXXXIII | 331 |
LXXXIV | 343 |
LXXXV | 349 |
LXXXVI | 356 |
LXXXVII | 371 |
LXXXIX | 380 |
XC | 390 |
XCI | 401 |
XCII | 407 |
XCIII | 409 |
XCIV | 411 |
XCV | 416 |
XCVI | 421 |
XCVII | 427 |
XCVIII | 428 |
XCIX | 430 |
C | 433 |
CI | 435 |
CII | 439 |
CIII | 443 |
CIV | 448 |
CV | 449 |
CVI | 450 |
CVII | 451 |
CVIII | 452 |
CIX | 453 |
CX | 455 |
461 | |
467 | |
Other editions - View all
Moments, Monodromy, and Perversity: A Diophantine Perspective Nicholas M. Katz No preview available - 2005 |
Common terms and phrases
References to this book
The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and ... E. Kowalski No preview available - 2008 |