Resonance of rank-two vector bundles over elliptic curves

Călin Spiridon

Resonance of rank-two vector bundles over elliptic curves

Algebraic Geometry 2026-04-28 v1

Authors: Călin Spiridon

Abstract

In this note, we study the resonance variety of rank-two vector bundles over an elliptic curve. Our approach is based on analyzing the flattening stratification of the resonance. We also investigate the linear section of the Grassmann variety $\operatorname{Gr}(2,n)$ from which the resonance is constructed through the lens of its corresponding flattening stratification.

Keywords

vector bundles elliptic curves resonance variety flattening stratification Grassmann variety

Cite

@article{arxiv.2604.23291,
  title  = {Resonance of rank-two vector bundles over elliptic curves},
  author = {Călin Spiridon},
  journal= {arXiv preprint arXiv:2604.23291},
  year   = {2026}
}

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11 pages

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