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- W2132373522 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 r_x defined by Kato [2]. The main theme of this paper is to give a simple formula to compute r_x' defined in [4], which is equal to r_x for good Artin-Schreier extension. We also prove Kato's conjecture for upper bound of r_x." @default.
- W2132373522 created "2016-06-24" @default.
- W2132373522 creator A5004550310 @default.
- W2132373522 date "2015-07-01" @default.
- W2132373522 modified "2023-09-27" @default.
- W2132373522 title "On ramifications of Artin-Schreier extensions of surfaces over algebraically closed fields of positive characteristic III" @default.
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