English

A finiteness theorem on symplectic singularities

Algebraic Geometry 2019-02-20 v6

Abstract

For positive integers N and d, there are only finite number of conical symplectic varieties of dimension 2d with maximal weights N, up to isomorphism. The maximal weight of a conical symplectic variety X is, by definition, the maximal weight of the minimal homogeneous generators of the coordinate ring R of X.

Keywords

Cite

@article{arxiv.1411.5585,
  title  = {A finiteness theorem on symplectic singularities},
  author = {Yoshinori Namikawa},
  journal= {arXiv preprint arXiv:1411.5585},
  year   = {2019}
}

Comments

Final version, to appear in Compositio Math

R2 v1 2026-06-22T07:06:04.229Z