9 citations · 18 across the 18 of their papers we have counts for
18 papers
-adic Tautological Systems
Lei Fu, An Huang, Bong Lian +3
Tautological systems was introduced in Lian-Yau as the system of differential equations satisfied by period integrals of hyperplane sections of some complex projective homogenous v…
On Katz's -exponential sums
Lei Fu, Daqing Wan
We deduce Katz's theorems for -exponential sums over finite fields using -adic cohomology and a theorem of Denef-Loeser, removing the hypothesis that is relative…
Unirational Differential Curves and Differential Rational Parametrizations
Lei Fu, Wei Li
In this paper, we study unirational differential curves and the corresponding differential rational parametrizations. We first investigate basic properties of proper differential r…
The -adic Gelfand-Kapranov-Zelevinsky hypergeometric complex
Lei Fu, Peigen Li, Daqing Wan +1
To a torus action on a complex vector space, Gelfand, Kapranov and Zelevinsky introduce a system of differential equations, which are now called the GKZ hypergeometric system. Its…
l-adic realization of some aspect of Landau-Ginzburg B-models
Lei Fu
The Landau-Ginzburg B-model for a germ of a holomorphic function with an isolated critical point is constructed by K. Saito and finished by M. Saito. Douai and Sabbah construct the…
Deformations and Rigidity of -adic Sheaves
Lei Fu
Let be a smooth connected projective algebraic curve over an algebraically closed field, and let be a finite nonempty closed subset in . We study deformations of $\overl…