Simpson Filtration and Oper Stratum Conjecture

Abstract

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

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

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Cited by in corpus (2)

• Moduli spaces of parabolic bundles over ${\mathbb{P}}^1$ with five marked points
• Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties