The Universal Nilpotent Cone and a Canonical 1-form

We construct a canonical Du Bois 1-form on the nilpotent cone in the dual Lie algebra of any reductive group. Using this 1-form we give an intrinsic construction of Nadler and Yun's universal global nilpotent cone. In particular, we obtain a moduli interpretation of the universal nilpotent cone.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.03311
Primary Topic
Advanced Algebra and Geometry
Type
preprint
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preprint

The Universal Nilpotent Cone and a Canonical 1-form

Marius Kjærsgaard
arXiv (Cornell University)
Advanced Algebra and Geometry
preprint

The Universal Nilpotent Cone and a Canonical 1-form

Marius Kjærsgaard
preprint en

Abstract

We construct a canonical Du Bois 1-form on the nilpotent cone in the dual Lie algebra of any reductive group. Using this 1-form we give an intrinsic construction of Nadler and Yun's universal global nilpotent cone. In particular, we obtain a moduli interpretation of the universal nilpotent cone.

arXiv (Cornell University)
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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The Universal Nilpotent Cone and a Canonical 1-form — Marius Kjærsgaard · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS