Year: 2026
Type: preprint
Abstract: This paper discusses the algebra of symmetric tensors for ruled surfaces defined by rank 2 stable vector bundles on curves of genus 2. The algebra is computed for special bundles $E$ when $S^2 E$ is destabilized by a line bundle and when $S^3 E$ is destabilized by a bundle of rank 2. A strategy for computation is discussed in regards to the other special bundles $E$. This paper also discusses the generalization of these strategies to higher genus and gives a computation when $E$ is not stable and may be written as a direct sum of line bundles.
Source: arXiv (Cornell University)
Author: McPherson, Lillian
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222926854