English

Moment maps and equivariant volumes

Algebraic Geometry 2019-09-25 v3 Symplectic Geometry

Abstract

The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series. In this article, we consider an equivariant version of this problem, in the presence of a linear action of a reductive group on M. The results in this paper extend and improve those in our previous unpublished work math.AG/0412433.

Keywords

Cite

@article{arxiv.math/0601214,
  title  = {Moment maps and equivariant volumes},
  author = {Alberto Della Vedova and Roberto Paoletti},
  journal= {arXiv preprint arXiv:math/0601214},
  year   = {2019}
}

Comments

misprints corrected, some new results added

R2 v1 2026-07-22T17:29:46.104Z