On ramifications of Artin-Schreier extensions of surfaces over algebraically closed fields of positive characteristic I

@article{Oi2014OnRO,
  title={On ramifications of Artin-Schreier extensions of surfaces over algebraically closed fields of positive characteristic I},
  author={Masao Oi},
  journal={JSIAM Lett.},
  year={2014},
  volume={6},
  pages={33-36}
}
  • Masao Oi
  • Published 25 November 2014
  • Mathematics, Computer Science
  • JSIAM Lett.
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… Expand
On ramifications of Artin–Schreier extensions of surfaces over algebraically closed fields of positive characteristic II
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 ofExpand

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On ramifications of Artin–Schreier extensions of surfaces over algebraically closed fields of positive characteristic II
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 ofExpand
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