JournalsjemsVol. 19, No. 4pp. 1127–1158

Homological projective duality via variation of geometric invariant theory quotients

  • Matthew Ballard

    University of South Carolina, Columbia, USA
  • Dragos Deliu

    Universität Wien, Austria
  • David Favero

    University of Alberta, Edmonton, Canada
  • M. Umut Isik

    Universität Wien, Austria
  • Ludmil Katzarkov

    Universität Wien, Austria
Homological projective duality via variation of geometric invariant theory quotients cover
Download PDF

A subscription is required to access this article.

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