English

Notes On Fundamental Groupoid Schemes

Algebraic Geometry 2025-03-05 v2

Abstract

In this article, we study the various fundamental groupoid schemes corresponding to Tannakian categories of certain types of vector bundles. We compute fundamental groupoid scheme of anisotropic conic, Klein bottle and abelian varieties. Additionally, we study the relation among various fundamental groupoid schemes by considering their representations.

Keywords

Cite

@article{arxiv.2411.09246,
  title  = {Notes On Fundamental Groupoid Schemes},
  author = {Pavan Adroja and Sanjay Amrutiya},
  journal= {arXiv preprint arXiv:2411.09246},
  year   = {2025}
}

Comments

The last section of the previous version has been removed. The title and abstract changed accordingly. Comments are welcome

R2 v1 2026-06-28T19:59:32.876Z