Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584470 | Journal of Algebra | 2015 | 12 Pages |
Abstract
For a smooth surface X over an algebraically closed field of positive characteristic, we consider the ramification of an Artin–Schreier extension of X. A ramification at a point of codimension 1 of X is understood by the Swan conductor. A ramification at a closed point of X is understood by the invariant rxrx defined by Kato (1994) [1]. The main theme of this paper is to construct the Young diagram Y(X,D,x)Y(X,D,x) which is closely related to rxrx and to prove Kato's conjecture Kato (1994) [1] for an upper bound of rxrx for a good Artin–Schreier extension.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Masao Oi,