Masahiro OHNO (大野真裕)

0120100_情報学専攻, 0120000_大学院情報理工学研究科, The University of Electro-Communications

algebraic geometry | 代数幾何

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Nef vector bundles on a quadric surface with first Chern class (2,2)

by Masahiro OHNO

公開済 18/04/2025

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Abstract

We classify nef vector bundles on a smooth quadric surface with first Chern class (2, 2) over an algebraically closed field of characteristic zero.

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Nef vector bundles on a quadric threefold with first Chern class two

by Masahiro OHNO

公開済 22/01/2025

Proceedings of the Edinburgh Mathematical Society, 1 - 40

Abstract

We classify nef vector bundles on a smooth hyperquadric of dimension three with first Chern class two over an algebraically closed field of characteristic zero. In particular, we see that they are globally generated.

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Nef vector bundles on a hyperquadric with first Chern class two

by Masahiro OHNO

公開済 24/04/2024

Forum Mathematicum, 37, 3, 747 - 763

Abstract

We classify nef vector bundles on a smooth hyperquadric of dimension ≥4{\geq 4} with first Chern class twoover an algebraically closed field of characteristic zero.

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

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

by Masahiro OHNO

公開済 19/06/2021

Rendiconti del Circolo Matematico di Palermo Series 2, 71, 755 - 781