Birational maps and Nori motives
Noemie C. Combe, Yuri I. Manin, Matilde Marcolli
TL;DR
This paper explores the role of Nori motives in equivariant birational geometry, building on Burnside invariants, to advance understanding of birational maps.
Contribution
It explicitly connects Nori constructions with equivariant birational geometry and Burnside invariants, providing a new perspective on these problems.
Findings
Clarified the role of Nori motives in birational geometry
Linked Burnside invariants with Nori constructions
Proposed an approach to equivariant birational problems
Abstract
In this note, we sketch an approach to the problems of equivariant birational geometry developed by M. Kontsevich and Yu. Tschinkel, where Burnside invariants were introduced. We are making explicit the role of Nori constructions in this environment.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Advanced Algebra and Geometry