4 papers
On the complement of nef divisors on projective manifolds
S. Feklistov
Let be a complex projective manifold, , a connected analytic subset of codimension one which is the support of a nef effective Cartier divisor on , $X:=…
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…
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…
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…