Ulrich bundles on rational surfaces with an anticanonical pencil

DOI10.1007/s00229-015-0802-2zbMath1360.14098arXiv1406.4359OpenAlexW1597931485MaRDI QIDQ276049

Yeongrak Kim

Publication date: 26 April 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4359

zbMATH Keywords

rational surfacesUlrich bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26)

Related Items

Ulrich bundles on blowing ups, Special Ulrich bundles on non-special surfaces with pg = q = 0

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of Ulrich bundles on del Pezzo surfaces
• Special divisors on curves on a K3 surface
• Polynomial invariants for smooth four-manifolds
• Exceptional linear systems on curves on Del Pezzo surfaces
• Very ample line bundles on regular surfaces obtained by projection
• Brill-Noether-Petri without degenerations
• On the rationality of moduli spaces of vector bundles on Fano surfaces
• Generic smoothness of the moduli spaces of rank two stable vector bundles over algebraic surfaces
• Pfaffian quartic surfaces and representations of Clifford algebras
• Minimal resolutions, Chow forms and Ulrich bundles on \(K3\) surfaces
• ACM bundles on cubic surfaces
• Green's conjecture for curves on rational surfaces with an anticanonical pencil
• \(n\)-dimensional Fano varieties of wild representation type
• Excess Linear Series on an Algebraic Curve
• Resultants and Chow forms via exterior syzygies