Gabber rigidity in hermitian K-theory
Markus Land
TL;DR
This paper extends Gabber's rigidity theorem, originally for algebraic K-theory, to hermitian K-theory, demonstrating its validity for arbitrary form parameters in henselian pairs.
Contribution
It establishes the applicability of Gabber's rigidity to hermitian K-theory with general form parameters, broadening the theorem's scope.
Findings
Rigidity theorem applies to hermitian K-theory.
Validity holds for arbitrary form parameters.
Extends known results from algebraic to hermitian K-theory.
Abstract
We note that Gabber's rigidity theorem for the algebraic K-theory of henselian pairs also holds true for hermitian K-theory with respect to arbitrary form parameters.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory