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The geometry of Ulrich bundles on del Pezzo surfaces
Date
2013-02-01
Author
Coşkun, Emre
MUSTOPA, Yusuf
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Given a smooth del Pezzo surface X-d subset of P-d of degree d, we isolate the essential geometric obstruction to a vector bundle on X-d being an Ulrich bundle by showing that an irreducible curve D of degree dr on X-d represents the first Chern class of a rank-r Ulrich bundle on X-d if and only if the kernel bundle of the general. smooth element of vertical bar D vertical bar admits a generalized theta-divisor. Moreover, we show that any smooth arithmetically Gorenstein surface whose Ulrich bundles admit such a characterization is necessarily del Pezzo.
Subject Keywords
Ulrich bundles
,
Algebraic surfaces
URI
https://hdl.handle.net/11511/39148
Journal
JOURNAL OF ALGEBRA
DOI
https://doi.org/10.1016/j.jalgebra.2012.08.032
Collections
Department of Mathematics, Article
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E. Coşkun and Y. MUSTOPA, “The geometry of Ulrich bundles on del Pezzo surfaces,”
JOURNAL OF ALGEBRA
, pp. 280–301, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39148.