S. Feklistov

activity

20202025

collaborators

6 papers

math.AG2025

On the complement of nef divisors on projective manifolds

S. Feklistov

Let $X^{'}$ be a complex projective manifold, $dim X^{'} > 1$ , $Z$ a connected analytic subset of codimension one which is the support of a nef effective Cartier divisor $D$ on $X^{'}$ , $X:=…

math.CV2024

Hartogs type extension theorem for the complement of effective and numerically effective divisors

S. V. Feklistov

In these notes we generalize the Ohsawa's results on the Hartogs extension phenomenon in the complement of effective divisors in Kähler manifolds with semipositive non-flat normal…

math.CV2024

Hartogs and open embeddings, proper maps, compactifications, cohomologies

S. Feklistov

In these (not-completed) notes, we study the Hartogs extension phenomenon for holomorphic sections of holomorphic vector bundles over complex analytic varieties. Namely, we study p…

math.CV2022

Holomorphic extension in holomorphic fiber bundles with (1,0)-compactifiable fiber

Sergey Feklistov

We use the Leray spectral sequence for the sheaf cohomology groups with compact supports to obtain a vanishing result. The stalks of sheaves $R^{∙} ϕ_{!} O$ for the s…

math.CV2022

The Hartogs phenomenon in almost homogeneous varieties

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…

math.CV2020

The Hartogs extension phenomenon in toric varieties

Sergey Feklistov, Alexey Shchuplev

We study the Hartogs extension phenomenon in non-compact toric varieties and its relation to the first cohomology group with compact support. We show that a toric variety admits th…