@article{595cc61cb6844b58874cddb380829b11,
title = "Hodge numbers of Landau–Ginzburg models",
abstract = "We study the Hodge numbers fp,q of Landau–Ginzburg models as defined by Katzarkov, Kontsevich, and Pantev. First we show that these numbers can be computed using ordinary mixed Hodge theory, then we give a concrete recipe for computing these numbers for the Landau–Ginzburg mirrors of Fano threefolds. We finish by proving that for a crepant resolution of a Gorenstein toric Fano threefold X there is a natural LG mirror (Y,w) so that hp,q(X)=f3−q,p(Y,w).",
keywords = "Algebraic geometry, Hodge theory, Mirror symmetry, Toric varieties",
author = "Andrew Harder",
note = "Funding Information: I would like to thank Valery Lunts for many valuable suggestions and comments. I would also like to thank Charles Doran, Ludmil Katzarkov, and Victor Przyjalkowski for useful conversations. I was partially supported by an NSERC postgraduate scholarship and the Simons Collaboration in Homological Mirror Symmetry during the preparation of this paper. Funding Information: I would like to thank Valery Lunts for many valuable suggestions and comments. I would also like to thank Charles Doran, Ludmil Katzarkov, and Victor Przyjalkowski for useful conversations. I was partially supported by an NSERC postgraduate scholarship and the Simons Collaboration in Homological Mirror Symmetry during the preparation of this paper. Publisher Copyright: {\textcopyright} 2020",
year = "2021",
month = feb,
day = "12",
doi = "10.1016/j.aim.2020.107436",
language = "English (US)",
volume = "378",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}