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Unramified Galois Coverings of Algebraic Curves

✍ Scribed by A. Pacheco

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
582 KB
Volume
53
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let (X) be a complete irreducible nonsingular algebraic curve defined over an algebraically closed field (k) of characteristic (p). We consider a linite 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 (\mathbb{F}_{f}[G])-module. In this counting we use RΓΌck's definition of generalized Hasse-Witt invariants, obtaining a generalization of results of Nakajima and Katsurada. C 1995 Academic Press. Inc.

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