Legendrian Subvarieties of Projective Space |
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| Authors: | Jarosław Buczyński |
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| Affiliation: | (1) Faculty of Mathematics, Informatics and Mechanics, Institute of Mathematics, Warsaw University, Warsaw, Poland |
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| Abstract: | I prove that every smooth Legendrian variety generated by quadrics is a homogeneous variety and, further, I give a list of all such Legendrian varieties. Another result is that no complete intersection is a Legendrian variety.Mathematics Subject Classification (2000): Primary: 14M99, secondary: 17B10, 22E46 *The author was partially supported by Marie Curie Programme. |
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| Keywords: | Legendrian variety symplectic form symplectic group quadrics homogeneous varieties |
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