SNC log symplectic structures on Fano products

Katsuhiko Okumura

doi:10.4153/S0008439520000120

SNC log symplectic structures on Fano products

Katsuhiko Okumura^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	891-900
Number of pages	10
Journal	Canadian Mathematical Bulletin
Volume	63
Issue number	4
DOIs	https://doi.org/10.4153/S0008439520000120
Publication status	Published - 2020 Dec 1

Keywords

Poisson structure
Projective space
Symplectic

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.4153/S0008439520000120

Cite this

@article{30464f42b4374378862a3708f8b8a858,

title = "SNC log symplectic structures on Fano products",

abstract = "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 structure, Projective space, Symplectic",

author = "Katsuhiko Okumura",

note = "Publisher Copyright: {\textcopyright} Canadian Mathematical Society 2020",

year = "2020",

month = dec,

day = "1",

doi = "10.4153/S0008439520000120",

language = "English",

volume = "63",

pages = "891--900",

journal = "Canadian Mathematical Bulletin",

issn = "0008-4395",

publisher = "Canadian Mathematical Society",

number = "4",

}

TY - JOUR

T1 - SNC log symplectic structures on Fano products

AU - Okumura, Katsuhiko

N1 - Publisher Copyright: © Canadian Mathematical Society 2020

PY - 2020/12/1

Y1 - 2020/12/1

N2 - 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.

AB - 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.

KW - Poisson structure

KW - Projective space

KW - Symplectic

UR - http://www.scopus.com/inward/record.url?scp=85096304777&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85096304777&partnerID=8YFLogxK

U2 - 10.4153/S0008439520000120

DO - 10.4153/S0008439520000120

M3 - Article

AN - SCOPUS:85096304777

SN - 0008-4395

VL - 63

SP - 891

EP - 900

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 4

ER -

SNC log symplectic structures on Fano products

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this