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Simpson Filtration and Oper Stratum Conjecture

arXiv:2010.06837 · doi:10.1007/s00229-021-01286-7

Abstract

In this paper, we prove that for the oper stratification of the de Rham moduli space , the closed oper stratum is the unique minimal stratum with dimension , and the open dense stratum consisting of irreducible flat bundles with stable underlying vector bundles is the unique maximal stratum.

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

Simpson Filtration and Oper Stratum Conjecture · wovepaper