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Birational invariance of the $S$-fundamental group scheme

Algebraic Geometry 2010-06-29 v1

Abstract

Let XX and YY be nonsingular projective varieties over an algebraically closed field kk of positive characteristic. If XX and YY are birational, we show their SS-fundamental group schemes are isomorphic.

Keywords

Cite

@article{arxiv.1006.5306,
  title  = {Birational invariance of the $S$-fundamental group scheme},
  author = {Amit Hogadi and Vikram Mehta},
  journal= {arXiv preprint arXiv:1006.5306},
  year   = {2010}
}

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7 pages