N. O. Ilten, J. Lewis, V. Przyjalkowski, “Toric degenerations of Fano threefolds giving weak Landau–Ginzburg models”, J. Algebra, 2013, Volume 374,Pages <nobr>104

This article is cited in 18 papers

Toric degenerations of Fano threefolds giving weak Landau–Ginzburg models

N. O. Ilten^a, J. Lewis^b, V. Przyjalkowski^c

^a Dept. of Mathematics, University of California, Berkeley, CA 94720, United States
^b Fakultät für Mathematik, Universität Wien, Garnisongasse 3/14, A-1090 Wien, Austria
^c Steklov Mathematical Institute, Gubkina st., 8, 119991, Moscow, Russia

Abstract: We show that every Picard rank one smooth Fano threefold has a weak Landau–Ginzburg model coming from a toric degeneration. The fibers of these Landau–Ginzburg models can be compactified to K3 surfaces with Picard lattice of rank 19. We also show that any smooth Fano variety of arbitrary dimension which is a complete intersection of Cartier divisors in weighted projective space has a very weak Landau–Ginzburg model coming from a toric degeneration.

MSC: 14J33, 14J45, 14M25, 32G20, 14J28

Received: 13.08.2011

Language: English

DOI: 10.1016/j.jalgebra.2012.11.002