On the S-fundamental group scheme

Adrian Langer[1]

  • [1] Warsaw University Institute of Mathematics Banacha 2, 02-097 Warszawa (Poland) Polish Academy of Sciences Institute of Mathematics Sniadeckich 8, 00-956 Warszawa (Poland)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 5, page 2077-2119
  • ISSN: 0373-0956

Abstract

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We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.

How to cite

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Langer, Adrian. "On the S-fundamental group scheme." Annales de l’institut Fourier 61.5 (2011): 2077-2119. <http://eudml.org/doc/219856>.

@article{Langer2011,
abstract = {We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.},
affiliation = {Warsaw University Institute of Mathematics Banacha 2, 02-097 Warszawa (Poland) Polish Academy of Sciences Institute of Mathematics Sniadeckich 8, 00-956 Warszawa (Poland)},
author = {Langer, Adrian},
journal = {Annales de l’institut Fourier},
keywords = {Fundamental group; positive characteristic; numerically flat bundles; Lefschetz type theorems; fundamental group},
language = {eng},
number = {5},
pages = {2077-2119},
publisher = {Association des Annales de l’institut Fourier},
title = {On the S-fundamental group scheme},
url = {http://eudml.org/doc/219856},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Langer, Adrian
TI - On the S-fundamental group scheme
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 5
SP - 2077
EP - 2119
AB - We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
LA - eng
KW - Fundamental group; positive characteristic; numerically flat bundles; Lefschetz type theorems; fundamental group
UR - http://eudml.org/doc/219856
ER -

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