RUS  ENG
Full version
JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1998 Volume 189, Number 2, Pages 111–136 (Mi sm295)

This article is cited in 4 papers

Homogeneous supermanifolds associated with complex projective space. I

A. L. Onishchik, O. V. Platonova

Yaroslavl State Technical University

Abstract: Homogeneous and evenly homogeneous complex supermanifolds of dimension $n|m$ with reduction equal to the complex projective space $\mathbb {CP}^n$ are studied. Under the assumption that $m\leqslant n$, all split supermanifolds of this type are classified and their 1-cohomology with values in the tangent sheaf (which is invariant under the projective group) is calculated.

UDC: 515.177

MSC: 32C11, 32M10

Received: 03.03.1997

DOI: 10.4213/sm295


 English version:
Sbornik: Mathematics, 1998, 189:2, 265–289

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025