Supercycles, stable supermaps and SUSY Nori motives
Algebraic Geometry
2026-03-24 v4
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.
Cite
@article{arxiv.2203.15855,
title = {Supercycles, stable supermaps and SUSY Nori motives},
author = {Ugo Bruzzo and Daniel Hernandez Ruiperez and Yuri I. Manin},
journal= {arXiv preprint arXiv:2203.15855},
year = {2026}
}
Comments
35 pages. v2: 38 pages, version to appear in Algebraic Geometry and Physics; v3: title has been changed; v4: a revision of the published paper, incorporating the corrections to the proofs, and an Erratum which is going to be published in the same journal. The corrections amount to some typos, and a partial reformulation of Remark 5.10, which however does not affect the rest of the paper