Supercycles, stable supermaps and SUSY Nori motives

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.

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