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Calabi-Yau manifolds of some special forms

✍ Scribed by Azniv Kasparian

Publisher
Springer
Year
1988
Tongue
English
Weight
170 KB
Volume
15
Category
Article
ISSN
0377-9017

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✦ Synopsis

Let M = M L x 9 9 -x M m be a product of K~ihler C-spaces with second Betti numbers b2(g t) = 1

(1 ~t ~ m). The work establishes that the complete intersections X of M produce a finite number of N-dimensxonal Calabi-Yau manifolds. Moreover, if b4(M,) = 1, then the complete intersections with vanishing first Pontrjagin classes are finitely many, as well.

On the other hand, we consider hypersurfaces of weighted projective spaces and give an explicit formula for their Euler characteristics. As in the previous case, it turns out that only a finite number of these are Calabi-Yau mamfolds.

πŸ“œ SIMILAR VOLUMES

Gauge Theoretical Construction of Non-co
Gauge Theoretical Construction of Non-compact Calabi–Yau Manifolds
✍ Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 187 KB

We construct the non-compact Calabi-Yau manifolds interpreted as the complex line bundles over the Hermitian symmetric spaces. These manifolds are the various generalizations of the complex line bundle over CP N -1 . Imposing an F-term constraint on the line bundle over CP N -1 , we obtain the line