Ulrich Bundles on Enriques Surfaces

Lev Borisov; Howard Nuer

doi:10.1093/imrn/rnx018

Ulrich Bundles on Enriques Surfaces

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

Abstract

We study Ulrich bundles and their moduli on unnodal Enriques surfaces. In particular, we prove that unnodal Enriques surfaces are of Ulrich wild representation type with respect to (an arbitrary multiple of) a Fano polarization by constructing moduli spaces of stable Ulrich bundles of arbitrary rank and arbitrarily large dimension.

Original language	English
Pages (from-to)	4171-4189
Number of pages	19
Journal	International Mathematics Research Notices
Volume	2018
Issue number	13
DOIs	https://doi.org/10.1093/imrn/rnx018
State	Published - 4 Jul 2018
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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AB - We study Ulrich bundles and their moduli on unnodal Enriques surfaces. In particular, we prove that unnodal Enriques surfaces are of Ulrich wild representation type with respect to (an arbitrary multiple of) a Fano polarization by constructing moduli spaces of stable Ulrich bundles of arbitrary rank and arbitrarily large dimension.

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JO - International Mathematics Research Notices

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Ulrich Bundles on Enriques Surfaces

Abstract

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