RT Journal Article
T1 Grothendieck ring of varieties with finite groups actions
A1 Gusein Zade, Sabir Medgidovich
A1 Luengo, I.
A1 Melle Hernández, Alejandro
AB We define a Grothendieck ring of varieties with finite groups actions and show that the orbifold Euler characteristic and the Euler characteristics of higher orders can be defined as homomorphisms from this ring to the ring of integers. We describe two natural [landa]-structures on the ring and the corresponding power structures over it and show that one of these power structures is effective. We define a Grothendieck ring of varieties with equivariant vector bundles and show that the generalized ("motivic") Euler characteristics of higher orders can be defined as homomorphisms from this ring to the Grothendieck ring of varieties extended by powers of the class of the complex affine line. We give an analogue of the Macdonald type formula for the generating series of the generalized higher order Euler characteristics of wreath products.
PB Cambridge University Press
SN 0013-0915
YR 2019
FD 2019-03-08
LK https://hdl.handle.net/20.500.14352/12884
UL https://hdl.handle.net/20.500.14352/12884
LA eng
DS Docta Complutense
RD 6 may 2024