Homogeneous supermanifolds with retract $\mathbb{CP}^{1|4}_{k_1k_211}$

M. A. Bashkin, L. I. Habadze

Yaroslavl State University

Abstract: We give the results of classification of all nonsplit homogeneous supermanifolds over the complex projective line whose retract is corresponding to a holomorphic vector bundle with a set $(k_1,k_2,1,1)$, where $k_1\ge k_2\ge 1$. See [3] and [4] for more information about the complex supermanifolds theory.

UDC: 515.177

Received: 17.05.2007