Homogeneous and 0-homogeneous supermanifolds with retract CP(1|4 kk20) when k >= 2
This paper contain the description of non-split even-homogeneous supermanifolds over the complex projective line whose retract corresponds to a holomorphic vector bundle of the signature (k,k, 2,0), where k >= 2. We prove that there are no non-split homogeneous supermanifolds in this case. See [3...
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Format: | Article |
Language: | English |
Published: |
Yaroslavl State University
2009-09-01
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Series: | Моделирование и анализ информационных систем |
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Online Access: | https://www.mais-journal.ru/jour/article/view/947 |
Summary: | This paper contain the description of non-split even-homogeneous supermanifolds over the complex projective line whose retract corresponds to a holomorphic vector bundle of the signature (k,k, 2,0), where k >= 2. We prove that there are no non-split homogeneous supermanifolds in this case. See [3] and [4] for more information about the complex supermanifolds theory. |
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ISSN: | 1818-1015 2313-5417 |