Homological projective duality via variation of geometric invariant theory quotients
Matthew Ballard
University of South Carolina, Columbia, USADragos Deliu
Universität Wien, AustriaDavid Favero
University of Alberta, Edmonton, CanadaM. Umut Isik
Universität Wien, AustriaLudmil Katzarkov
Universität Wien, Austria
Abstract
We provide a geometric approach to constructing Lefschetz collections and Landau–Ginzburg homological projective duals from a variation of Geometric Invariant Theory quotients. This approach yields homological projective duals for Veronese embeddings in the setting of Landau–Ginzburg models. Our results also extend to a relative homological projective duality framework.
Cite this article
Matthew Ballard, Dragos Deliu, David Favero, M. Umut Isik, Ludmil Katzarkov, Homological projective duality via variation of geometric invariant theory quotients. J. Eur. Math. Soc. 19 (2017), no. 4, pp. 1127–1158
DOI 10.4171/JEMS/689