Deformations of Noncompact Calabi-Yau threefolds

Abstract: 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)).

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Bibliographic Details
Main Authors: Gasparim,Elizabeth, Köppe,Thomas, Rubilar,Francisco, Suzuki,Bruno
Format: Digital revista
Language:English
Published: Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas 2018
Online Access:http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262018000100041
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