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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2025, Volume 328, Pages 5–164
DOI: https://doi.org/10.4213/tm4452 (Mi tm4452) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Katzarkov–Kontsevich–Pantev Conjecture for Fano Threefolds

I. A. Cheltsova, V. V. Przyjalkowskibc

a School of Mathematics, The University of Edinburgh, Edinburgh, UK
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
c International Laboratory for Mirror Symmetry and Automorphic Forms, HSE University, Moscow, Russia
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DOI: https://doi.org/10.4213/tm4452
Abstract: We verify the Katzarkov–Kontsevich–Pantev conjecture for Landau–Ginzburg models of smooth Fano threefolds.
Keywords: Fano threefolds, Katzarkov–Kontsevich–Pantev conjecture, toric Landau–Ginzburg model, Hodge structure.
Funding agency Grant number
Royal Society IES\R1\180205
Leverhulme Trust RPG-2021-229
Simons Foundation
Foundation for the Development of Theoretical Physics and Mathematics BASIS
I. Cheltsov was supported by the Royal Society grant no. IES\R1\180205, the Leverhulme Trust grant RPG-2021-229, and the Simons Collaboration grant “Moduli of Varieties.” V. Przyjalkowski was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS.”
Received: February 2, 2024
Revised: July 17, 2024
Accepted: December 11, 2024
Published: 15.05.2025
English version:
Proceedings of the Steklov Institute of Mathematics, 2025, Volume 328, Pages 1–156
DOI: https://doi.org/10.1134/S0081543825010018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Cheltsov, V. V. Przyjalkowski, “Katzarkov–Kontsevich–Pantev Conjecture for Fano Threefolds”, Geometry of Landau–Ginzburg Models of Fano Threefolds, Trudy Mat. Inst. Steklova, 328, Steklov Mathematical Institute of RAS, Moscow, 2025, 5–164; Proc. Steklov Inst. Math., 328 (2025), 1–156
Citation in format AMSBIB
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\serial Trudy Mat. Inst. Steklova
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\vol 328
\pages 5--164
\publ Steklov Mathematical Institute of RAS
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