Fano manifolds of Calabi-Yau type

Atanas Iliev; Laurent Manivel (IF)

Fano manifolds of Calabi-Yau type

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arxiv 1102.3623 v1 pith:746VF5PM submitted 2011-02-17 math.AG

Atanas Iliev , Laurent Manivel (IF) This is my paper · ORCID

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keywords calabi-yaumanifoldsclasscompactcomplexconstructdimensiondimensional

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We introduce and we study a class of odd dimensional compact complex manifolds whose Hodge structure in middle dimension looks like that of a Calabi-Yau threefold. We construct several series of interesting examples from rational homogeneous spaces with special properties.

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Special Fano geometry from Feynman integrals
hep-th 2024-12 conditional novelty 5.0 of 10

Special Fano varieties, which include Calabi-Yau spaces as the Q=1 case, arise from the Symanzik polynomials of several families of Feynman integrals.

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