UNRAMIFIED GALOIS COVERINGS OF ALGEBRAIC-CURVES

被引：4

作者：

PACHECO, A ^{[1
]}

机构：

[1] UNIV FED FLUMINENSE,INST MATEMAT,DEPT GEOMET,BR-24220000 NITEROI,RJ,BRAZIL

来源：

JOURNAL OF NUMBER THEORY | 1995年 / 53卷 / 02期

关键词：

D O I：

10.1006/jnth.1995.1087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a complete irreducible nonsingular algebraic curve defined over an algebraically closed field k of characteristic p. We consider a finite group G of order prime to p. In this paper we count the number of unramified Galois coverings of X whose Galois group is isomorphic to an extension of G by a finite group which is an irreducible F-p[G]-module. In this counting we use Ruck's definition of generalized Hasse-Witt invariants, obtaining a generalization of results of Nakajima and Katsurada. (C) 1995 Academic Press, Inc.

引用

页码：211 / 228

页数：18

共 15 条

[1] CARTIER P, 1957, CR HEBD ACAD SCI, V244, P426
[2] GROTHENDIECK A, 1971, LECTURE NOTES MATH, V244
[3] Hasse H., 1936, MONATSHEFTE MATH PHY, V43, P477
[4] Isaacs I. M., 1976, CHARACTER THEORY FIN
[5] KATSURADA H, 1979, J MATH SOC JPN, V31, P101, DOI 10.2969/jmsj/03110101
[6] NAKAMURA M, 1983, MIKROCHIM ACTA, V2, P69, DOI 10.1007/BF01204584
[7] THE TRACE OF THE CARTIER OPERATOR AND CHARACTER SUMS
PACHECO, A
[J]. COMMUNICATIONS IN ALGEBRA, 1990, 18 (11) : 3689 - 3703
[8] CLASS-GROUPS AND L-SERIES OF FUNCTION-FIELDS
RUCK, HG
[J]. JOURNAL OF NUMBER THEORY, 1986, 22 (02) : 177 - 189
[9] Serre J.-P., 1979, LOCAL FIELDS
[10] SERRE JP, 1971, REPRESENTATIONS LINE

← 1 2 →