Nef vector bundles on a projective space or a hyperquadric with the first Chern class small

被引：0

作者：

Masahiro Ohno

机构：

[1] The University of Electro-Communications,Graduate School of Informatics and Engineering

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2022年 / 71卷

关键词：

Nef vector bundles; Full strong exceptional sequences; 14J60; 14N30; 14F05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a new proof of the classification due to Peternell–Szurek–Wiśniewski of nef vector bundles on a projective space with the first Chern class less than three and on a smooth hyperquadric with the first Chern class less than two over an algebraically closed field of characteristic zero. We also classify nef vector bundles containing a line bundle of next-to-maximal degree on a projective space.

引用

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页码：755 / 781

页数：26

共 47 条

[1] Nef vector bundles on a projective space or a hyperquadric with the first Chern class small
Ohno, Masahiro
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (02) : 755 - 781
[2] Nef vector bundles on a hyperquadric with first Chern class two
Ohno, Masahiro
FORUM MATHEMATICUM, 2024,
[3] Nef vector bundles on a projective space with first Chern class three
Ohno, Masahiro
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020, 69 (02) : 425 - 458
[4] Nef vector bundles on a projective space with first Chern class three
Masahiro Ohno
Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 425 - 458
[5] A spectral sequence and nef vector bundles of the first Chern class two on hyperquadrics
Ohno M.
Terakawa H.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2014, 60 (2) : 397 - 406
[6] Nef vector bundles on a quadric surface with the first Chern class (2,1)
Ohno, Masahiro
ADVANCES IN GEOMETRY, 2020, 20 (01) : 109 - 116
[7] Chern Class Inequalities on Polarized Manifolds and Nef Vector Bundles
Li, Ping
Zheng, Fangyang
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (08) : 6262 - 6288
[8] The First Chern Class of the Verlinde Bundles
Marian, Alina
Oprea, Dragos
Pandharipande, Rahul
STRING-MATH 2012, 2015, 90 : 87 - 111
[9] ALGEBRAIC VECTOR BUNDLES ON PROJECTIVE SPACE
GERAMITA, AV
ROBERTS, LG
INVENTIONES MATHEMATICAE, 1970, 10 (04) : 298 - &
[10] UNIFORM VECTOR BUNDLES ON A PROJECTIVE SPACE
SATO, E
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1976, 28 (01) : 123 - 132

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