Universidad Complutense de Madrid
E-Prints Complutense

On the pre-lambda-ring structure on the Grothendieck ring of stacks and the power structures over it

Impacto

Downloads

Downloads per month over past year

Gusein-Zade, Sabir Medgidovich and Luengo Velasco, Ignacio and Melle Hernández, Alejandro (2013) On the pre-lambda-ring structure on the Grothendieck ring of stacks and the power structures over it. Bulletin of the London Mathematical Society, 45 (3). pp. 520-528. ISSN 0024-6093

[img]
Preview
PDF
154kB

Official URL: http://blms.oxfordjournals.org/content/45/3/520.full.pdf+html




Abstract

We describe a pre-lambda-structure on the Grothendieck ring of stacks (originally studied by Torsten Ekedahl) and the corresponding power structures over it, discuss some of their properties and give some explicit formulae for the Kapranov zeta-function for some stacks. In particular, we show that the nth symmetric power of the class of the classifying stack BGL(1) of the group GL(1) coincides, up to a power of the class L of the affine line, with the class of the classifying stack BGL(n).


Item Type:Article
Uncontrolled Keywords:Varieties; Points
Subjects:Sciences > Mathematics > Algebra
ID Code:22166
Deposited On:01 Jul 2013 10:22
Last Modified:07 Feb 2014 10:42

Origin of downloads

Repository Staff Only: item control page