The Hartogs Extension Phenomenon in Toric Varieties

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.Bibliography: 30 titles.

The Hartogs extension phenomenon in almost homogeneous algebraic varieties

“…For example, toric varieties, horospherical varieties, flag varieties (an more generally, spherical varieties) are almost homogeneous algebraic varieties. In the context of toric varieties the Hartogs phenomenon was considered in [12], [18] and [19].…”