English

Simpson Filtration and Oper Stratum Conjecture

Algebraic Geometry 2021-03-15 v2

Abstract

In this paper, we prove that for the oper stratification of the de Rham moduli space MdR(X,r)M_{\mathrm{dR}}(X,r), the closed oper stratum is the unique minimal stratum with dimension r2(g1)+g+1r^2(g-1)+g+1, and the open dense stratum consisting of irreducible flat bundles with stable underlying vector bundles is the unique maximal stratum.

Cite

@article{arxiv.2010.06837,
  title  = {Simpson Filtration and Oper Stratum Conjecture},
  author = {Zhi Hu and Pengfei Huang},
  journal= {arXiv preprint arXiv:2010.06837},
  year   = {2021}
}

Comments

This paper comes from the last section of arXiv:1905.10765v1 as an independent paper. Comments are welcome! To appear in manuscripta mathematica

R2 v1 2026-06-23T19:19:53.632Z