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Lee, Kyoungseog
기하학 수리물리 연구단
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Ulrich Bundles on Intersections of Two 4-Dimensional Quadrics

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Title
Ulrich Bundles on Intersections of Two 4-Dimensional Quadrics
Author(s)
Cho, Yonghwa; Kim, Yeongrak; Kyoung-Seog Lee
Publication Date
2021-11
Journal
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2021, no.22, pp.17277 - 17303
Publisher
OXFORD UNIV PRESS
Abstract
In this paper, we investigate the moduli space of Ulrich bundles on a smooth complete intersection of two 4-dimensional quadrics in P-5. The main ingredient is the semiorthogonal decomposition by Bondal-Orlov, combined with the categorical methods pioneered by Kuznetsov and Lahoz-Macri-Stellari. Using these methods, we prove that any smooth intersection of two 4-dimensional quadrics in P-5 carries an Ulrich bundle of rank r for every r >= 2. Moreover, we provide a description of the moduli space of stable Ulrich bundles.
URI
https://pr.ibs.re.kr/handle/8788114/10958
DOI
10.1093/imrn/rnz320
ISSN
1073-7928
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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