Characteristic classes for curves of genus one

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.

References in corpus (1)

• L-series of Artin stacks over finite fields

Cited by in corpus (3)

• Cohomology of uniserial p-adic space groups with cyclic point group
• Gravity prop and moduli spaces ${\mathcal{M}}_{g,n}$
• Cohomology of uniserial $p$-adic space groups