This new version (with 20 pages more) contains more details, pictures, tables and results.International audienceWe study the moduli space of trace-free irreducible rank 2 connections over a curve of genus 2 and the forgetful map towards the moduli space of under- lying vector bundles (including unstable bundles), for which we compute a natural Lagrangian rational section. As a particularity of the genus 2 case, connections as above are invariant under the hyperelliptic involution : they descend as rank 2 logarithmic connections over the Riemann sphere. We establish explicit links between the well-known moduli space of the underlying parabolic bundles with the classical approaches by Narasimhan-Ramanan, Tyurin and Bertram. This allow us to e...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
The authors study the moduli space of trace-free irreducible rank 2 connections over a curve of genu...
We give an explicit expression of the Hitchin Hamiltonian system for rank two vector bundles with tr...
In this paper, we describe the birational structure of moduli spaces of rank 2 logarithmic connectio...
We describe moduli spaces of logarithmic rank $2$ connections on elliptic curves with $n \geq 1$ pol...
15 pages, submitted in april 2005Let $X$ be a smooth proper genus 2 curve over an algebraically clos...
This thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve...
This thesis aims at presenting results and remarks concerning the study of subvarieties of the proje...
Moduli spaces of stable parabolic connections on curves are very interesting objects which are relat...
This thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve...
Moduli spaces of stable parabolic connections on curves are very interesting objects which are relat...
This thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve...
We explore algebro-geometric properties of the moduli space of holomorphic Lie algebroid ($\cat{L}$)...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
The authors study the moduli space of trace-free irreducible rank 2 connections over a curve of genu...
We give an explicit expression of the Hitchin Hamiltonian system for rank two vector bundles with tr...
In this paper, we describe the birational structure of moduli spaces of rank 2 logarithmic connectio...
We describe moduli spaces of logarithmic rank $2$ connections on elliptic curves with $n \geq 1$ pol...
15 pages, submitted in april 2005Let $X$ be a smooth proper genus 2 curve over an algebraically clos...
This thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve...
This thesis aims at presenting results and remarks concerning the study of subvarieties of the proje...
Moduli spaces of stable parabolic connections on curves are very interesting objects which are relat...
This thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve...
Moduli spaces of stable parabolic connections on curves are very interesting objects which are relat...
This thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve...
We explore algebro-geometric properties of the moduli space of holomorphic Lie algebroid ($\cat{L}$)...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...
Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vec...