On D\'evissage for Witt groups
Satya Mandal, Sarang Sane
TL;DR
This paper extends the theory of derived Witt groups over Cohen-Macaulay rings by generalizing dévissage techniques, building on prior work by Balmer and others to deepen understanding of Witt groups in algebraic contexts.
Contribution
It introduces a generalized dévissage method for derived Witt groups applicable to Cohen-Macaulay rings, expanding the theoretical framework.
Findings
Generalized dévissage for derived Witt groups over Cohen-Macaulay rings
Enhanced understanding of the structure of Witt groups in algebraic geometry
Extension of Balmer's work on derived and triangular Witt groups
Abstract
In this paper we extend and apply the work of Paul Balmer and others on derived and triangular Witt Groups. We obtain a generalized form of d\'{e}vissage for derived Witt Groups over Cohen-Macaulay rings.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory