An equivariant fixed-level Demailly identity for Fano manifolds

Jihao Liu; Sheng Qin

An equivariant fixed-level Demailly identity for Fano manifolds

Algebraic Geometry 2026-07-01 v1 Complex Variables Differential Geometry

Authors: Jihao Liu , Sheng Qin

Abstract

Jin and Rubinstein asked whether the fixed-level equivariant Tian's alpha invariant equals the fixed-level equivariant global log canonical threshold, and proved this equality for toric varieties. In this paper we provide a positive answer to Jin and Rubinstein's question in full generality. The main result of this paper was obtained by Chatgpt 5.5 pro, and the Danus system based on the Rethlas system.

Keywords

Fano manifolds equivariant Tian alpha invariant global log canonical threshold Demailly identity toric varieties

Cite

@article{arxiv.2607.00708,
  title  = {An equivariant fixed-level Demailly identity for Fano manifolds},
  author = {Jihao Liu and Sheng Qin},
  journal= {arXiv preprint arXiv:2607.00708},
  year   = {2026}
}

Comments

8 pages, AI generated, human verified