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RANK TWO STABLE ULRICH BUNDLES ON ANTICANONICALLY EMBEDDED SURFACES

Part of: Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  23 November 2016

GIANFRANCO CASNATI
GIANFRANCO CASNATI*
Affiliation:
Dipartimento di Scienze Matematiche, Politecnico di Torino, c.so Duca degli Abruzzi 24, 10129 Torino, Italy email [email protected]
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Abstract

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Let $S\subseteq \mathbb{P}^{d}$ be an anticanonically embedded surface of degree $d\geq 3$ . In this note, we classify stable Ulrich bundles on $S$ of rank two. We also study their moduli spaces.

Keywords

vector bundleUlrich bundlestable bundledel Pezzo surface

MSC classification

Primary: 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli
Secondary: 14J45: Fano varieties
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 1 , February 2017 , pp. 22 - 37
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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