English

The Hartogs phenomenon in almost homogeneous varieties

Complex Variables 2022-11-29 v2 Algebraic Geometry

Abstract

We study the Hartogs extension phenomenon in noncompact almost homogeneous algebraic varieties and we prove the cohomological and weight criteria for the Hartogs phenomenon. In the case of spherical varieties, we prove a criterion for the Hartogs phenomenon in terms of colored fans.

Keywords

Cite

@article{arxiv.2207.02023,
  title  = {The Hartogs phenomenon in almost homogeneous varieties},
  author = {S. V. Feklistov},
  journal= {arXiv preprint arXiv:2207.02023},
  year   = {2022}
}
R2 v1 2026-06-24T12:14:28.401Z