241 citations
- Université de RennesFR519 papers
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11 papers · 2 filters
A new general formula for the Cauchy Index on an interval with Subresultants
Daniel Perrucci, Marie-Françoise Roy
We present a new formula for the Cauchy index of a rational function on an interval using subresultant polynomials. There is no condition on the endpoints of the interval and the f…
Integrable deformations of foliations: a generalization of Ilyashenko's result
Dominique Cerveau, Bruno Scárdua
We study analytic deformations of holomorphic differential 1-forms. The initial 1-form is exact homogeneous and the deformation is by polynomial integrable 1-forms. We investigate…
Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups
Guy Casale, James Freitag, Joel Nagloo
We prove the Ax-Lindemann-Weierstrass theorem with derivatives for the uniformizing functions of genus zero Fuchsian groups of the first kind. Our proof relies on differential Galo…
Integral Closures In Real Algebraic Geometry
Jean-Philippe Monnier, Goulwen Fichou, Ronan Quarez
We study the algebraic and geometric properties of the integral closure of different rings of functions on a real algebraic variety : the regular functions and the continuous ratio…
The geometric Bogomolov conjecture
Serge Cantat, Ziyang Gao, Philipp Habegger +1
We prove the geometric Bogomolov conjecture over a function field of characteristic zero.
BCOV invariants of Calabi--Yau manifolds and degenerations of Hodge structures
Dennis Eriksson, Gerard Freixas i Montplet, Christophe Mourougane
Calabi--Yau manifolds have risen to prominence in algebraic geometry, in part because of mirror symmetry and enumerative geometry. After Bershadsky--Cecotti--Ooguri--Vafa (BCOV), i…