On ramifications of ArtinSchreier extensions of surfaces over algebraically closed fields of positive characteristic III
Abstract
For a smooth surface X over an algebraically closed field of positive characteristic, we consider the ramification of an ArtinSchreier 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 ArtinSchreier extension. We also prove Kato's conjecture for upper bound of r_x.
 Publication:

arXiv eprints
 Pub Date:
 June 2015
 arXiv:
 arXiv:1507.00097
 Bibcode:
 2015arXiv150700097O
 Keywords:

 Mathematics  Number Theory