Work

Isotropy of symplectic involutions and motivic equivalence for groups of type $\sf{C}$

Year: 2026

Type: preprint

Abstract: We extend to arbitrary characteristic a theorem due to Karpenko and Tignol on the isotropy of symplectic involutions after generic index reduction; as a consequence, we also prove the existence of critical varieties for semi-simple algebraic groups of type $\sf C$ over arbitrary base fields. The latter result relies on a characteristic-free argument, which involves the computation of the mod $2$ Tate trace of the variety of isotropic ideals of reduced dimension $2$ for a symplectic involution.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.25363

Authors: Barry, Demba, De Clercq, Charles, Quéguiner-Mathieu, Anne

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223053966

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