Higgs Bundles in Geometry and Arithmetic
Kang Zuo
TL;DR
This paper introduces new concepts like deformation Higgs bundles and Riemann-Finsler metrics on moduli spaces, and explores the Higgs-de Rham flow in p-adic geometry, advancing the understanding of geometric and arithmetic structures.
Contribution
It presents novel notions of deformation Higgs bundles and Riemann-Finsler metrics, and applies the Higgs-de Rham flow in the p-adic context, contributing to geometric and arithmetic theory.
Findings
Defined deformation Higgs bundles and Riemann-Finsler metrics.
Applied Higgs-de Rham flow in p-adic setting.
Established foundational concepts for future research.
Abstract
We introduce the notions of deformation Higgs bundle and Riemann-Finsler metric on the moduli space of polarized varieties. We also use the Higgs-de Rham flow in the p-adic setting. These are the key novelties in our program.
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Taxonomy
Topicsadvanced mathematical theories