Algebraic correspondences between genus three curves and certain Calabi-Yau varieties - Mathematics > Algebraic GeometryReport as inadecuate




Algebraic correspondences between genus three curves and certain Calabi-Yau varieties - Mathematics > Algebraic Geometry - Download this document for free, or read online. Document in PDF available to download.

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.



Author: Tomohide Terasoma

Source: https://arxiv.org/







Related documents