Integral models for moduli spaces of G -torsors

Martin Olsson[1]

  • [1] University of California Department of Mathematics 970 Evans Hall #3840 Berkeley, CA 94720-3840

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 4, page 1483-1549
  • ISSN: 0373-0956

Abstract

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Given a finite tame group scheme G , we construct compactifications of moduli spaces of G -torsors on algebraic varieties, based on a higher-dimensional version of the theory of twisted stable maps to classifying stacks.

How to cite

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Olsson, Martin. "Integral models for moduli spaces of $G$-torsors." Annales de l’institut Fourier 62.4 (2012): 1483-1549. <http://eudml.org/doc/251044>.

@article{Olsson2012,
abstract = {Given a finite tame group scheme $G$, we construct compactifications of moduli spaces of $G$-torsors on algebraic varieties, based on a higher-dimensional version of the theory of twisted stable maps to classifying stacks.},
affiliation = {University of California Department of Mathematics 970 Evans Hall #3840 Berkeley, CA 94720-3840},
author = {Olsson, Martin},
journal = {Annales de l’institut Fourier},
keywords = {Compacitification; moduli spaces; torsors; Abramovich-Vistoli theory; log scheme; Teichmüller structure; level structure; principal bundle; tame group scheme; G-torsor; twisted group torsor},
language = {eng},
number = {4},
pages = {1483-1549},
publisher = {Association des Annales de l’institut Fourier},
title = {Integral models for moduli spaces of $G$-torsors},
url = {http://eudml.org/doc/251044},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Olsson, Martin
TI - Integral models for moduli spaces of $G$-torsors
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 4
SP - 1483
EP - 1549
AB - Given a finite tame group scheme $G$, we construct compactifications of moduli spaces of $G$-torsors on algebraic varieties, based on a higher-dimensional version of the theory of twisted stable maps to classifying stacks.
LA - eng
KW - Compacitification; moduli spaces; torsors; Abramovich-Vistoli theory; log scheme; Teichmüller structure; level structure; principal bundle; tame group scheme; G-torsor; twisted group torsor
UR - http://eudml.org/doc/251044
ER -

References

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  18. A. Ogus, Logarithmic geometry and algebraic stacks, book in preparation (2008) 
  19. M. Olsson, Logarithmic geometry and algebraic stacks, Ann. Sci. d’ENS 36 (2003), 747-791 Zbl1069.14022MR2032986
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