Essential dimension of Hermitian spaces
Nikita Semenov, Kirill Zainoulline
TL;DR
This paper investigates the essential dimension, Chow motive, and incompressibility of Hermitian spaces, providing new insights into their algebraic and geometric properties.
Contribution
It introduces methods to compute the essential dimension and Chow motive of Hermitian spaces, and establishes their incompressibility in specific dimensions.
Findings
Computed essential dimension of Hermitian spaces
Determined Chow motives of Hermitian spaces
Proved incompressibility in certain dimensions
Abstract
Given an hermitian space we compute its essential dimension, Chow motive and prove its incompressibility in certain dimensions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology