Due to the work of many authors in the last decades, given an algebraic orbifold (smooth proper Deligne-Mumford stack with trivial generic stabilizer), one can construct its orbifold Chow ring and orbifold Grothendieck ring, and relate them by the orbifold Chern character map, generalizing the fundamental work of Chen-Ruan on orbifold cohomology. In this paper, we extend this theory naturally to higher Chow groups and higher algebraic K-theory, mainly following the work of Jarvis-Kaufmann-Kimura and Edidin-Jarvis-Kimura
In this paper, we study the Hochschild cohomology ring of convolution algebras associated to orbifol...
AbstractIt is shown that the product structures of motivic cohomology groups and of higher Chow grou...
In this thesis we study the orbifold Chow ring of smooth Deligne-Mumford stacks which are related t...
Due to the work of many authors in the last decades, given an algebraic orbifold (smooth proper Deli...
Due to the work of many authors in the last decades, given an algebraic orbifold (smooth proper Deli...
We revisit the classical 2-dimensional McKay correspondence in two respects: First, which is the mai...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
Abstract. We construct two new G-equivariant rings: K (X,G), called the stringy K-theory of the G-va...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
We show that the constructions done in part I generalize their classical counterparts: firstly, the ...
We show that the constructions done in part I generalize their classical counterparts: firstly, the ...
Comparing to the Chen-Ruan cohomology theory for the almost complex orbifolds, we study the orbifold...
Fu L, Tian Z, Vial C. Motivic hyper-Kahler resolution conjecture I: Generalized Kummer varieties. GE...
In this paper, we study the Hochschild cohomology ring of convolution algebras associated to orbifol...
AbstractIt is shown that the product structures of motivic cohomology groups and of higher Chow grou...
In this thesis we study the orbifold Chow ring of smooth Deligne-Mumford stacks which are related t...
Due to the work of many authors in the last decades, given an algebraic orbifold (smooth proper Deli...
Due to the work of many authors in the last decades, given an algebraic orbifold (smooth proper Deli...
We revisit the classical 2-dimensional McKay correspondence in two respects: First, which is the mai...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
Abstract. We construct two new G-equivariant rings: K (X,G), called the stringy K-theory of the G-va...
Given a smooth projective variety M endowed with an action of a finite group G, following Jarvis–Kau...
We show that the constructions done in part I generalize their classical counterparts: firstly, the ...
We show that the constructions done in part I generalize their classical counterparts: firstly, the ...
Comparing to the Chen-Ruan cohomology theory for the almost complex orbifolds, we study the orbifold...
Fu L, Tian Z, Vial C. Motivic hyper-Kahler resolution conjecture I: Generalized Kummer varieties. GE...
In this paper, we study the Hochschild cohomology ring of convolution algebras associated to orbifol...
AbstractIt is shown that the product structures of motivic cohomology groups and of higher Chow grou...
In this thesis we study the orbifold Chow ring of smooth Deligne-Mumford stacks which are related t...