Resumo

GASPARIM, Elizabeth; KOPPE, Thomas; RUBILAR, Francisco  e  SUZUKI, Bruno. Deformations of Noncompact Calabi-Yau threefolds. Rev.colomb.mat. [online]. 2018, vol.52, n.1, pp.41-57. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v1n52.74554.

We describe deformations of noncompact Calabi-Yau threefolds for k = 1, 2, 3. We compute deformations concretely by calculations of the cohomology group H1(W k , TW k ) via Čech cohomology. We show that for each k = 1, 2, 3 the associated structures are qualitatively different, and we also comment on their differences from the analogous structures of simpler noncompact twofolds Tot(OP1(-k)).

Palavras-chave : Calabi-Yau; Deformations of noncompact manifolds.

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