Characteristic classes for curves of genus one
Algebraic Geometry
2016-04-06 v2 Number Theory
Abstract
We compute the cohomology of the stack M_1 with coefficients in Z[1/2], and in low degrees with coefficients in Z. Cohomology classes on M_1 give rise to characteristic classes, cohomological invariants of families of curves of genus one. We prove a number of vanishing results for those characteristic classes, and give explicit examples of families with non-vanishing characteristic classes.
Keywords
Cite
@article{arxiv.1410.6708,
title = {Characteristic classes for curves of genus one},
author = {Lenny Taelman},
journal= {arXiv preprint arXiv:1410.6708},
year = {2016}
}