Article
Moment zeta functions for toric Calabi-Yau hypersurfaces
Author/s | Rojas León, Antonio
Wan, Daqing |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2007 |
Deposit Date | 2016-06-07 |
Published in |
|
Abstract | Moment zeta functions provide a diophantineformulation for the distribution of rational points on afamily of algebraic varieties over finite fields. They also formalgebraic approximations to Dwork’s pp-adic unit rootzeta ... Moment zeta functions provide a diophantineformulation for the distribution of rational points on afamily of algebraic varieties over finite fields. They also formalgebraic approximations to Dwork’s pp-adic unit rootzeta functions. In this paper, we use ll-adic cohomologyto calculate all the higher moment zeta functions for themirror family of the Calabi-Yau family of smooth projective hypersurfaces over finite fields. Our main result is a complete determination of the purity decomposition and the trivial factorsfor the moment zeta functions. |
Citation | Rojas León, A. y Wan, D. (2007). Moment zeta functions for toric Calabi-Yau hypersurfaces. Communications in Number Theory and Physics, 1 (3), 539-578. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Moment zeta functions for toric ... | 364.0Kb | [PDF] | View/ | |