Algebraic correspondences between genus three curves and certain Calabi-Yau varieties - Mathematics > Algebraic GeometryReportar como inadecuado




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Abstract: In this paper, we construct certain algebraic correspondences between genusthree curves and certain type of Calabi-Yau threefolds which is doublecoverings of three dimensional projective space. Via this correspondences, thefirst cohomology groups of the curves can be embedded into the third cohomologygroups of the Calabi-Yau three folds. Moreover we prove that the cokernel ofthis inclusion of variations ofHodge structures can not be a factor of anyvariations of Hodge structures comming from polarized abelian schemes.



Autor: Tomohide Terasoma

Fuente: https://arxiv.org/







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