Deformations of Noncompact Calabi-Yau threefolds

Elizabeth Gasparim; Thomas Köppe; Francisco Rubilar; Bruno Suzuki

Publicado

2018-01-01

Deformations of Noncompact Calabi-Yau threefolds

Deformaciones de Tres-variedades Calabi-Yau no Compactas

Palabras clave:

Calabi-Yau, Deformations of noncompact manifolds (en)
Calabi-Yau, Deformaciones de variedades no compactas (es)

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Autores/as

Elizabeth Gasparim Universidad Católica del Norte
Thomas Köppe Universidad Católica del Norte
Francisco Rubilar Universidad Católica del Norte
Bruno Suzuki Universidad Católica del Norte

Resumen (en)
Resumen (es)

We describe deformations of noncompact Calabi-Yau threefolds

W_k := Tot(O_P1 (-k) ⊕ O_P1 (k - 2)),

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 non-compact twofolds Tot(O_P1 (-k)).

Describimos deformaciones de 3-variedades Calabi-Yau no compactas

W_k := Tot(O_P1 (-k) ⊕ O_P1 (k - 2)),

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(O_P1 (-k)).

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