Deformations of Calabi-Yau manifolds in Fano tori varieties

Gilberto Bini, Donatella Iacono

Risultato della ricerca: Articlepeer review

Abstract

In this article, we investigate deformations of a Calabi-Yau manifold Z in a toric variety F, possibly not smooth. In particular, we prove that the forgetful morphism from the Hilbert functor HZF of infinitesimal deformations of Z in F to the functor of infinitesimal deforma- tions of Z is smooth. This implies the smoothness of HZF at the corresponding point in the Hilbert scheme. Moreover, we give some examples and include some computations on the Hodge numbers of Calabi-Yau manifolds in Fano toric varieties.
Lingua originaleEnglish
pagine (da-a)1-14
Numero di pagine14
RivistaRendiconti del Circolo Matematico di Palermo
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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