Proof of the Knop conjecture

Ivan V. Losev[1]

  • [1] Massachusetts Institute of Technology Department of Mathematics Room 2-101 77 Massachusetts Avenue Cambridge MA 02139 (USA)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 3, page 1105-1134
  • ISSN: 0373-0956

Abstract

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In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoid are equivariantly isomorphic. We also state and prove a uniqueness property for (not necessarily smooth) affine spherical varieties.

How to cite

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Losev, Ivan V.. "Proof of the Knop conjecture." Annales de l’institut Fourier 59.3 (2009): 1105-1134. <http://eudml.org/doc/10418>.

@article{Losev2009,
abstract = {In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoid are equivariantly isomorphic. We also state and prove a uniqueness property for (not necessarily smooth) affine spherical varieties.},
affiliation = {Massachusetts Institute of Technology Department of Mathematics Room 2-101 77 Massachusetts Avenue Cambridge MA 02139 (USA)},
author = {Losev, Ivan V.},
journal = {Annales de l’institut Fourier},
keywords = {Spherical varieties; weight monoids; systems of spherical roots; multiplicity free Hamiltonian actions; spherical varieties},
language = {eng},
number = {3},
pages = {1105-1134},
publisher = {Association des Annales de l’institut Fourier},
title = {Proof of the Knop conjecture},
url = {http://eudml.org/doc/10418},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Losev, Ivan V.
TI - Proof of the Knop conjecture
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 3
SP - 1105
EP - 1134
AB - In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoid are equivariantly isomorphic. We also state and prove a uniqueness property for (not necessarily smooth) affine spherical varieties.
LA - eng
KW - Spherical varieties; weight monoids; systems of spherical roots; multiplicity free Hamiltonian actions; spherical varieties
UR - http://eudml.org/doc/10418
ER -

References

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