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SNC Log Symplectic Structures on Fano Products

Part of: Surfaces and higher-dimensional varieties Symplectic geometry, contact geometry

Published online by Cambridge University Press:  24 February 2020

Katsuhiko Okumura
Katsuhiko Okumura*
Affiliation:
Department of Mathematics, Waseda University, Ookubo, Shinjuku-ku, Tokyo, 169-8555, Japan Email: k_okumura@moegi.waseda.jp
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Abstract

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This paper classifies Poisson structures with the reduced simple normal crossing divisor on a product of Fano varieties of Picard number 1. The characterization of even-dimensional projective spaces from the viewpoint of Poisson structures is given by Lima and Pereira. In this paper, we generalize the characterization of projective spaces to any dimension.

Keywords

Poisson structuresymplecticprojective space

MSC classification

Primary: 53D17: Poisson manifolds; Poisson groupoids and algebroids
Secondary: 14J45: Fano varieties
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 4 , December 2020 , pp. 891 - 900
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© Canadian Mathematical Society 2020

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