Birational induction of nilpotent orbit covers in exceptional types

Matthew Westaway

Birational induction of nilpotent orbit covers in exceptional types

Algebraic Geometry 2026-03-09 v3 Rings and Algebras

Authors: Matthew Westaway

Abstract

Let $G$ be a semisimple simply connected algebraic group over ${\mathbb C}$ of exceptional type. For each $G$ -equivariant nilpotent cover of a nilpotent coadjoint $G$ -orbit ${\mathbb O}$ , we determine the unique birationally rigid induction datum from which it is birationally induced.

Keywords

birational induction nilpotent orbit exceptional type algebraic group equivariant cover birationally rigid induction datum

Cite

@article{arxiv.2312.01838,
  title  = {Birational induction of nilpotent orbit covers in exceptional types},
  author = {Matthew Westaway},
  journal= {arXiv preprint arXiv:2312.01838},
  year   = {2026}
}

Comments

61 pages, 10 tables (5 giving main results). v2: New Section 3 added, and parts of Section 4 streamlined accordingly. Other minor errors corrected. v3: Minor errors corrected

Birational induction of nilpotent orbit covers in exceptional types

Abstract

Keywords

Cite

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