Moduli spaces of Ulrich bundles on the Fano 3-fold V5

JOURNAL OF ALGEBRA

卷:574

Article

Lee, Kyoung-Seog^1,2  Park, Kyeong-Dong^1,3 

[1] Inst Basic Sci IBS, Ctr Geometry & Phys, Pohang 37673, South Korea

[2] Univ Miami, Inst Math Sci Amer, 1365 Mem Dr,Ungar 515, Coral Gables, FL 33146 USA

[3] Korea Inst Adv Study KIAS, Sch Math, Seoul 02455, South Korea

关键词: Derived category;    Fano threefold V-5;    Moduli space;    Quiver representation;    Ulrich bundle;   

DOI  :  10.1016/j.jalgebra.2021.01.015

来源: Elsevier

【 摘 要 】

We study moduli spaces of Ulrich bundles of rank r >= 2 on the Fano 3-fold V-5 of Picard number 1, degree 5 and index 2. We prove that the moduli space of stable Ulrich bundles of rank ron V-5 can be identified with a smooth (r(2) + 1)-dimensional open subset of the moduli space of stable quiver representations with dimension vector (r, r) of the Kronecker quiver with 2 vertices and 3 arrows. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

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