Work

Ulrich bundles on intersections of two quadrics

Year: 2026

Type: preprint

Abstract: We construct Ulrich bundles on smooth intersections of two quadrics. We determine all possible ranks and prove the existence of indecomposable Ulrich bundles of every allowable rank. To our knowledge, this gives the first such construction for a family of nonhomogeneous varieties of arbitrarily large dimension. We also study the moduli spaces of these bundles and relate them to moduli spaces of vector bundles on curves. For intersections of two even-dimensional quadrics, our results prove a conjecture of Eisenbud and Schreyer.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.09596

Authors: Jung, Jiwan, Lee, Kyoung-Seog, Moon, Han-Bom

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fordham University, POSCO TJ Park Foundation, National Research Foundation, Pohang University of Science and Technology, National Research Foundation of Korea, Ministry of Science and ICT, South Korea

Awards: G2913168654, G44429426, G5209999269

OpenAlex ID: W7212117888

Cites: 1

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Related to: 10