Robert Friedman ; Radu Laza - Deformations of some local Calabi-Yau manifolds

epiga:10899 - Épijournal de Géométrie Algébrique, November 5, 2024, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2024.10899
Deformations of some local Calabi-Yau manifoldsArticle

Authors: Robert Friedman ; Radu Laza

    We study deformations of certain crepant resolutions of isolated rational Gorenstein singularities. After a general discussion of the deformation theory, we specialize to dimension $3$ and consider examples which are good (log) resolutions as well as the case of small resolutions. We obtain some partial results on the classification of canonical threefold singularities that admit good crepant resolutions. Finally, we study a noncrepant example, the blowup of a small resolution whose exceptional set is a smooth curve.


    Volume: Special volume in honour of Claire Voisin
    Published on: November 5, 2024
    Accepted on: May 31, 2024
    Submitted on: February 2, 2023
    Keywords: Mathematics - Algebraic Geometry,14J32, 14B07, 32S30, 14E15, 32S45

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