Deformations of Noncompact Calabi-Yau threefolds

We describe deformations of noncompact Calabi-Yau threefoldsWk := Tot(OP1 (-k) ⊕ OP1 (k - 2)),for k = 1, 2, 3. We compute deformations concretely by calculations of the cohomology group H1(Wk, TWk) via Čech cohomology. We show that for each k = 1, 2, 3 the associated structures are qualitatively dif...

Full description

Autores:
Gasparim, Elizabeth
Köppe, Thomas
Rubilar, Francisco
Suzuki, Bruno
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66423
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66423
http://bdigital.unal.edu.co/67451/
Palabra clave:
51 Matemáticas / Mathematics
Calabi-Yau
Deformations of noncompact manifolds
Calabi-Yau
Deformaciones de variedades no compactas
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:We describe deformations of noncompact Calabi-Yau threefoldsWk := Tot(OP1 (-k) ⊕ OP1 (k - 2)),for k = 1, 2, 3. We compute deformations concretely by calculations of the cohomology group H1(Wk, TWk) 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 non-compact twofolds Tot(OP1 (-k)).