Algebraic loop groups and moduli spaces of bundles

Gerd Faltings

Journal of the European Mathematical Society (2003)

  • Volume: 005, Issue: 1, page 41-68
  • ISSN: 1435-9855

Abstract

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We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.

How to cite

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Faltings, Gerd. "Algebraic loop groups and moduli spaces of bundles." Journal of the European Mathematical Society 005.1 (2003): 41-68. <http://eudml.org/doc/277711>.

@article{Faltings2003,
abstract = {We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.},
author = {Faltings, Gerd},
journal = {Journal of the European Mathematical Society},
keywords = {infinite Grassmannians; algebraic loop group; moduli stacks; generalized Schubert varieties; infinite Grassmannians; algebraic loop group; moduli stacks; generalized Schubert varieties},
language = {eng},
number = {1},
pages = {41-68},
publisher = {European Mathematical Society Publishing House},
title = {Algebraic loop groups and moduli spaces of bundles},
url = {http://eudml.org/doc/277711},
volume = {005},
year = {2003},
}

TY - JOUR
AU - Faltings, Gerd
TI - Algebraic loop groups and moduli spaces of bundles
JO - Journal of the European Mathematical Society
PY - 2003
PB - European Mathematical Society Publishing House
VL - 005
IS - 1
SP - 41
EP - 68
AB - We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.
LA - eng
KW - infinite Grassmannians; algebraic loop group; moduli stacks; generalized Schubert varieties; infinite Grassmannians; algebraic loop group; moduli stacks; generalized Schubert varieties
UR - http://eudml.org/doc/277711
ER -

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