Geodesic
The Hartogs extension phenomenon in~almost homogeneous algebraic varieties
Sbornik. Mathematics, Tome 213 (2022) no. 12, pp. 1715-1739

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the Hartogs extension phenomenon in noncompact almost homogeneous algebraic varieties, and we prove a cohomological and a weight criterion for the Hartogs phenomenon. In the case of spherical varieties we prove a criterion for the Hartogs phenomenon in terms of coloured fans. Bibliography: 28 titles.
Keywords: Hartogs phenomenon, holomorphic extension, almost homogeneous algebraic variety, spherical variety. 
@article{SM_2022_213_12_a5,
     author = {S. V. Feklistov},
     title = {The {Hartogs} extension phenomenon in~almost homogeneous algebraic varieties},
     journal = {Sbornik. Mathematics},
     pages = {1715--1739},
     publisher = {mathdoc},
     volume = {213},
     number = {12},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2022_213_12_a5/}
}
TY  - JOUR
AU  - S. V. Feklistov
TI  - The Hartogs extension phenomenon in~almost homogeneous algebraic varieties
JO  - Sbornik. Mathematics
PY  - 2022
SP  - 1715
EP  - 1739
VL  - 213
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2022_213_12_a5/
LA  - en
ID  - SM_2022_213_12_a5
ER  - 
%0 Journal Article
%A S. V. Feklistov
%T The Hartogs extension phenomenon in~almost homogeneous algebraic varieties
%J Sbornik. Mathematics
%D 2022
%P 1715-1739
%V 213
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2022_213_12_a5/
%G en
%F SM_2022_213_12_a5
S. V. Feklistov. The Hartogs extension phenomenon in~almost homogeneous algebraic varieties. Sbornik. Mathematics, Tome 213 (2022) no. 12, pp. 1715-1739. http://geodesic.mathdoc.fr/item/SM_2022_213_12_a5/