English

Boundedness of spherical Fano varieties

Algebraic Geometry 2007-05-23 v1 Representation Theory

Abstract

We prove that for any e>0, there exists only finitely many e-log terminal spherical Fano varieties of fixed dimension. We also introduce an invariant of a spherical subgroup H in a reductive group G which measures how nice an equivariant Fano compactification G/H there exists.

Keywords

Cite

@article{arxiv.math/0301196,
  title  = {Boundedness of spherical Fano varieties},
  author = {Valery Alexeev and Michel Brion},
  journal= {arXiv preprint arXiv:math/0301196},
  year   = {2007}
}

Comments

10 pages, 1 figure

R2 v1 2026-07-22T16:51:13.623Z