Landau–Ginzburg Hodge numbers for mirrors of del Pezzo surfaces

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We consider the conjectures from the paper by Katzarkov, Kontsevich, and Pantev about Landau-Ginzburg Hodge numbers associated to tamely compactifiable Landau-Ginzburg models. We test these conjectures in case of dimension two, verifying some and giving a counterexample to the other.

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Lunts, Valery, and Przyjalkowski, Victor. "Landau–Ginzburg Hodge numbers for mirrors of del Pezzo surfaces." Advances in Mathematics, vol. 329, pp. 189-216, 2018-10-12, https://doi.org/10.1016/j.aim.2018.02.024.

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Advances in Mathematics

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