The Hartogs phenomenon in almost homogeneous varieties

5 Jul 2022  ·  S. V. Feklistov ·

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.

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Complex Variables Algebraic Geometry Primary 32M12, 32D20, Secondary 14M27, 20G05