42 citations · 128 across the 18 of their papers we have counts for
16 papers · 1 filter
On the Periods of Twisted Moments of the Kloosterman Connection
Ping-Hsun Chuang, Jeng-Daw Yu
This paper aims to study the Betti homology and de Rham cohomology of twisted symmetric powers of the Kloosterman connection of rank two on the torus. We compute the period pairing…
Hodge properties of Airy moments
Claude Sabbah, Jeng-Daw Yu
We consider the complex analogues of symmetric power moments of cubic exponential sums. These are symmetric powers of the classical Airy differential equation. We show that their d…
Quadratic relations between Bessel moments
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
Motivated by the computation of certain Feynman amplitudes, Broadhurst and Roberts recently conjectured and checked numerically to high precision a set of remarkable quadratic rela…
Quadratic relations between periods of connections
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption…
Irregular Hodge numbers of confluent hypergeometric differential equations
Claude Sabbah, Jeng-Daw Yu
We give a formula computing the irregular Hodge numbers for a confluent hypergeometric differential equation.
Hodge theory of Kloosterman connections
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
We construct motives over the rational numbers associated with symmetric power moments of Kloosterman sums, and prove that their L-functions extend meromorphically to the complex p…
The Künneth Formula for the Twisted de Rham and Higgs Cohomologies
Kai-Chieh Chen, Jeng-Daw Yu
We prove the Künneth formula for the irregular Hodge filtrations on the exponentially twisted de Rham and the Higgs cohomologies of smooth quasi-projective complex varieties. The m…
Irregular Hodge theory
Claude Sabbah
We introduce a category of possibly irregular holonomic D-modules which can be endowed in a canonical way with an irregular Hodge filtration. Mixed Hodge modules with their Hodge f…
On the irregular Hodge filtration of exponentially twisted mixed Hodge modules
Claude Sabbah, Jeng-Daw Yu
Given a mixed Hodge module and a meromorphic function f on a complex manifold, we associate to these data a filtration (the irregular Hodge filtration) on the exponentially twisted…
On ordinary crystals with logarithmic poles
Jeng-Daw Yu
We derive some local properties of abstract crystals with logarithmic poles over a smooth base in positive characteristic and obtain the existence of the canonical coordinates of c…
E_1-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito)
Hélène Esnault, Claude Sabbah, Jeng-Daw Yu
For a regular function f on a smooth complex quasi-projective variety, J.-D. Yu introduced in arXiv:1203.2338 a filtration (the irregular Hodge filtration) on the de Rham complex w…
Irregular Hodge filtration on twisted de Rham cohomology
Jeng-Daw Yu
We give a definition and study the basic properties of the irregular Hodge filtration on the exponentially twisted de Rham cohomology of a smooth quasi-projective complex variety.
Notes on Calabi-Yau ordinary differential equations
Jeng-Daw Yu
We investigate the structures of Calabi-Yau differential equations and the relations to the arithmetic of the pencils of Calabi-Yau varieties behind the equations. This provides ex…
Variation of the unit roots along the Dwork family of Calabi-Yau varieties
Jeng-Daw Yu
We study the variation of unit roots of the Dwork families of Calabi-Yau varieties over a finite field by the method of Dwork-Katz and also from the point of view of formal group l…
Local structure of the moduli space of K3 surfaces over finite characteristic
Jeng-Daw Yu
Let k be a perfect field of characteristic p > 2. In this note, we show that the local moduli space of a non-supersingular K3 surface over k with trivial deformation of the associa…
Special lifts of ordinary K3 surfaces and applications
Jeng-Daw Yu
We study the cohomological properties of quasi-canonical lifts of an ordinary K3 surface over a finite field. As applications, we prove a Torelli type theorem for ordinary K3 surfa…