36 citations · 120 across the 24 of their papers we have counts for
27 papers
Local Zeta Functions From Calabi-Yau Differential Equations
Philip Candelas, Xenia de la Ossa, Duco van Straten
The zeta-function of a manifold is closely related to, and sometimes can be calculated completely, in terms of its periods. We report here on a practical and computationally rapid…
Non-abelian Abel's theorems and quaternionic rotation
V. Golyshev, A. Mellit, V. Rubtsov +1
In order to compute with --adic sheaves or crystals on a line over a low-technology alternative to the traditional computation with the Hecke operators on the au…
Versal deformations of vector field singularities
Mauricio Garay, Duco van Straten
When a singular point of a vector field passes through resonance, a formal invariant cone appears. In the seventies, Pyartli proved that for -resonance the cone is in fact…
The Spectrum of Hypersurface Singularities
Duco van Straten
This text is the write-up of a series of lectures on the asymptotic mixed Hodge theory of isolated hypersurface singularities, held at the Third Latin American school on Algebraic…
A One Parameter Family of Calabi-Yau Manifolds with Attractor Points of Rank Two
Philip Candelas, Xenia de la Ossa, Mohamed Elmi +1
In the process of studying the zeta-function for one parameter families of Calabi-Yau manifolds we have been led to a manifold, first studied by Verrill, for which the quartic nume…
Dimensional interpolation and the Selberg integral
V. Golyshev, D. van Straten, D. Zagier
We show that a version of dimensional interpolation for the Riemann--Roch--Hirzebruch formalism in the case of a grassmannian leads to an expression for the Euler characteristic of…