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This article is cited in 4 scientific papers (total in 6 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.
Received: 03.03.1997
Citation:
A. L. Onishchik, O. V. Platonova, “Homogeneous supermanifolds associated with complex projective space. I”, Mat. Sb., 189:2 (1998), 111–136; Sb. Math., 189:2 (1998), 265–289
Linking options:
https://www.mathnet.ru/eng/sm295https://doi.org/10.1070/sm1998v189n02ABEH000295 https://www.mathnet.ru/eng/sm/v189/i2/p111
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Abstract page: | 342 | Russian version PDF: | 214 | English version PDF: | 8 | References: | 60 | First page: | 1 |
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