Autor:	Holmes, David, Pixton, Aaron, Schmitt, Johannes
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry 14H10 14C15 14E05
Druh dokumentu:	Working Paper
Popis:	The double ramification cycle satisfies a basic multiplicative relation DRC(a).DRC(b) = DRC(a).DRC(a + b) over the locus of compact-type curves, but this relation fails in the Chow ring of the moduli space of stable curves. We restore this relation over the moduli space of stable curves by introducing an extension of the double ramification cycle to the small b-Chow ring (the colimit of the Chow rings of all smooth blowups of the moduli space). We use this to give evidence for the conjectured equality between the (twisted) double ramification cycle and a cycle constructed in previous work by the second author. Comment: 16 pages. Comments very welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1711.10341 Zobrazit plný text záznamu View this record from Arxiv