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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.52 no.1 Bogotá Jan./June 2018
https://doi.org/10.15446/recolma.v1n52.74554
Original articles
Deformations of Noncompact Calabi-Yau threefolds
Deformaciones de Tres-variedades Calabi-Yau no Compactas
1 Universidad Católica del Norte, Antofagasta - Chile
2 Universidad Católica del Norte, Antofagasta - Chile
3 Universidad Católica del Norte, Antofagasta - Chile
4 Universidad Católica del Norte, Antofagasta - Chile
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)).
Keywords: Calabi-Yau; Deformations of noncompact manifolds
Describimos deformaciones de 3-variedades Calabi-Yau no compactas para k = 1, 2, 3. Concretamente, calculamos las deformaciones a través del primer grupo de cohomología H1(W
k
, TW
k
) vía cohomología de Čech. Mostramos que para cada k = 1, 2, 3, las estructuras asociadas son cualitativamente distintas y, además, comentamos sobre sus diferencias con las estructuras análogas de las 2-variedades no compactas Tot(OP1(-k)).
Palabras clave: Calabi-Yau; Deformaciones de variedades no compactas
References
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Received: April 13, 2017; Accepted: December 14, 2018
This is an open-access article distributed under the terms of the Creative Commons Attribution License
