TY - JOUR AU - Gusein Zade, Sabir Medgidovich AU - Luengo, I. AU - Melle Hernández, Alejandro PY - 2019 DO - 10.1017/S001309151900004X SN - 0013-0915 UR - https://hdl.handle.net/20.500.14352/12884 T2 - Proceedings of the Edinburgh Mathematical Society, 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... LA - eng M2 - 925 PB - Cambridge University Press KW - Finite group actions KW - Complex quasi-projective varieties KW - Grothendieck rings KW - Lambda-structure KW - Power structure TI - Grothendieck ring of varieties with finite groups actions TY - journal article VL - 62 ER -