Supercycles, stable supermaps and SUSY Nori motives
Ugo Bruzzo, Daniel Hernandez Ruiperez, Yuri I. Manin
TL;DR
This paper introduces stable supercurves and supermaps, developing a theory of Nori motives for SUSY curves with punctures, involving foundational work on supercycles.
Contribution
It establishes a new framework for Nori motives in the context of stable supermaps of SUSY curves, expanding the mathematical understanding of supergeometry.
Findings
Defined stable supercurves and supermaps
Developed a theory of Nori motives for SUSY curves
Constructed a basic theory of supercycles
Abstract
We define stable supercurves and stable supermaps, and based on these notions we develop a theory of Nori motives for the category of stable supermaps of SUSY curves with punctures. This will require several preliminary constructions, including the development of a basic theory of supercycles.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models