Disconnected moduli spaces of stable bundles on surfaces

Izzet Coskun; Jack Huizenga; John Kopper

doi:10.1112/blms.12602

Disconnected moduli spaces of stable bundles on surfaces

Izzet Coskun
, Jack Huizenga
, John Kopper

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of moduli spaces of rank 2 stable bundles on surfaces of Picard rank one with arbitrarily many connected components.

Original language	English (US)
Pages (from-to)	812-824
Number of pages	13
Journal	Bulletin of the London Mathematical Society
Volume	54
Issue number	2
DOIs	https://doi.org/10.1112/blms.12602
State	Published - Apr 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/blms.12602

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title = "Disconnected moduli spaces of stable bundles on surfaces",

abstract = "We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of moduli spaces of rank 2 stable bundles on surfaces of Picard rank one with arbitrarily many connected components.",

author = "Izzet Coskun and Jack Huizenga and John Kopper",

note = "Funding Information: We would like to thank Lawrence Ein, Joe Harris, Daniel Huybrechts, Nicole Mestrano, Julius Ross, Carlos Simpson, Dennis Tseng, Matthew Woolf and Kota Yoshioka for valuable conversations. We thank the organizers and participants of ZAG, Rahul Pandharipande, and the participants of the Algebraic Geometry and Moduli seminar for stimulating discussions that led to this note. During the preparation of this article, the first author was partially supported by the NSF FRG grant DMS 1664296 and the second author was partially supported by NSF FRG grant DMS 1664303. Publisher Copyright: {\textcopyright} 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

year = "2022",

month = apr,

doi = "10.1112/blms.12602",

language = "English (US)",

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T1 - Disconnected moduli spaces of stable bundles on surfaces

AU - Coskun, Izzet

AU - Huizenga, Jack

AU - Kopper, John

N1 - Funding Information: We would like to thank Lawrence Ein, Joe Harris, Daniel Huybrechts, Nicole Mestrano, Julius Ross, Carlos Simpson, Dennis Tseng, Matthew Woolf and Kota Yoshioka for valuable conversations. We thank the organizers and participants of ZAG, Rahul Pandharipande, and the participants of the Algebraic Geometry and Moduli seminar for stimulating discussions that led to this note. During the preparation of this article, the first author was partially supported by the NSF FRG grant DMS 1664296 and the second author was partially supported by NSF FRG grant DMS 1664303. Publisher Copyright: © 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

PY - 2022/4

Y1 - 2022/4

N2 - We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of moduli spaces of rank 2 stable bundles on surfaces of Picard rank one with arbitrarily many connected components.

AB - We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of moduli spaces of rank 2 stable bundles on surfaces of Picard rank one with arbitrarily many connected components.

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JF - Bulletin of the London Mathematical Society

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ER -

Disconnected moduli spaces of stable bundles on surfaces

Abstract

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