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Sbornik: Mathematics, 1998, Volume 189, Issue 2, Pages 265–289
DOI: https://doi.org/10.1070/sm1998v189n02ABEH000295 (Mi sm295) 		 
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
English version PDF (310 kB) Citations (6)
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DOI: https://doi.org/10.1070/sm1998v189n02ABEH000295
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
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 2, Pages 111–136
DOI: https://doi.org/10.4213/sm295
Bibliographic databases:
UDC: 515.177
MSC: 32C11, 32M10
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    English version PDF:8
    References:60
    First page:1
     
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