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MUMFORD-TATE GROUPS, FAMILIES OF CALABI-YAU VARIETIES AND ANALOGUE ANDR¶E-OORT PROBLEMS I
MUMFORD-TATE GROUPS FAMILIES OF CALABI-YAU VARIETIES ANALOGUE ANDR E-OORT PROBLEMS I
2018/4/20
We study Mumford-Tate groups of families of Calabi-Yau manifolds in this notes, for example, we have interest in the relations between the geometry of families of Calabi-Yau manifolds and their Mumfor...
Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties
Motivic zeta functions degenerations of abelian varieties Calabi-Yau varieties
2011/2/25
Let f ∈ Z[x1, . . . , xn] be a non-constant polynomial, and let p be a prime. Igusa’s p-adic zeta function Zp f (s) is a meromorphic function on the complex plane that encodes the number of solutions ...
Eulerian digraphs and toric Calabi-Yau varieties
Eulerian digraphs toric Calabi-Yau varieties
2010/12/23
We investigate the structure of a simple class of affine toric Calabi-Yau varieties that are defined from quiver representations based on finite eulerian directed graphs (digraphs). The vanishing fir...
Motivated by the Strominger-Yau-Zaslow conjecture, we study ˉbre spaces whose total space has trivial canonical bundle. Especially, we are interest in Calabi-
Yau varieties with ˉbre structures. In t...