Geodesic
Deformations of some local Calabi-Yau manifolds
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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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.
DOI : 10.46298/epiga.2024.10899
Classification : 14B07, 14E15, 14J32, 32S30, 32S45 
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     author = {Friedman, Robert and Laza, Radu},
     title = {Deformations of some local {Calabi-Yau} manifolds},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.46298/epiga.2024.10899},
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Friedman, Robert; Laza, Radu. Deformations of some local Calabi-Yau manifolds. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2024.10899

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