Year: 2024
Type: article
Abstract: In this short note, we provide an alternative proof of a notable theorem by Narasimhan and Ramanan. The theorem states that the moduli space of S -equivalence classes of semistable rank 2 vector bundles over a curve X of genus 2 with trivial determinant is isomorphic to $$\mathbb {P}^3$$ P 3 . Our proof relies on a criterion by Bauer and Szemberg, which characterizes projective spaces among smooth Fano varieties using Seshadri constants.
Author: Jagadish Pine
Institution: Tata Institute of Fundamental Research
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4405738353