Page 1

Displaying 1 – 10 of 10

Showing per page

A Torelli theorem for moduli spaces of principal bundles over a curve

Indranil Biswas, Norbert Hoffmann (2012)

Annales de l’institut Fourier

Let X and X be compact Riemann surfaces of genus 3 , and let G and G be nonabelian reductive complex groups. If one component G d ( X ) of the coarse moduli space for semistable principal G –bundles over X is isomorphic to another component G d ( X ) , then X is isomorphic to X .

Syzygies and logarithmic vector fields along plane curves

Alexandru Dimca, Edoardo Sernesi (2014)

Journal de l’École polytechnique — Mathématiques

We investigate the relations between the syzygies of the Jacobian ideal of the defining equation for a plane curve C and the stability of the sheaf of logarithmic vector fields along C , the freeness of the divisor C and the Torelli properties of C (in the sense of Dolgachev-Kapranov). We show in particular that curves with a small number of nodes and cusps are Torelli in this sense.

Currently displaying 1 – 10 of 10

Page 1