We define an unstable equivariant motivic homotopy category for an algebraic group over a Noetherian base scheme. We show that equivariant algebraic K-theory is representable in the resulting homotopy category. Additionally, we establish homotopical purity and blow-up theorems for finite abelian groups
AbstractFor fields of characteristic zero, we show that the homotopy category of modules over the mo...
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G o...
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G o...
Abstract. In this paper we study a model structure on a category of schemes with a group action and ...
Equivariant motivic homotopy theory is a homotopy theory of schemes with algebraic group actions. Th...
Abstract. In this paper, we develop the theory of equivariant motivic homotopy theory, both unstable...
We show that if G is a finite constant group acting on a scheme X such that the order of G is invert...
Motivic homotopy theory was developed by Morel and Voevodsky in the 1990s. The original motivation f...
AbstractThe motivic homotopy categories can be defined with respect to different topologies and diff...
We explore motivic homotopy theory over deeper bases than the spectrum of the integers: Starting fro...
This thesis consists of two independent parts. In the first part we ask how traces in monoidal categ...
In this paper, we continue the program initiated by Kahn\u2013Saito\u2013Yamazaki by constructing an...
Draft, comments are welcomeIn this paper, we initiate a study of motivic homotopy theory at infinity...
AbstractWe study symmetric powers in the homotopy categories of abstract closed symmetric monoidal m...
Draft, comments are welcomeIn this paper, we initiate a study of motivic homotopy theory at infinity...
AbstractFor fields of characteristic zero, we show that the homotopy category of modules over the mo...
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G o...
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G o...
Abstract. In this paper we study a model structure on a category of schemes with a group action and ...
Equivariant motivic homotopy theory is a homotopy theory of schemes with algebraic group actions. Th...
Abstract. In this paper, we develop the theory of equivariant motivic homotopy theory, both unstable...
We show that if G is a finite constant group acting on a scheme X such that the order of G is invert...
Motivic homotopy theory was developed by Morel and Voevodsky in the 1990s. The original motivation f...
AbstractThe motivic homotopy categories can be defined with respect to different topologies and diff...
We explore motivic homotopy theory over deeper bases than the spectrum of the integers: Starting fro...
This thesis consists of two independent parts. In the first part we ask how traces in monoidal categ...
In this paper, we continue the program initiated by Kahn\u2013Saito\u2013Yamazaki by constructing an...
Draft, comments are welcomeIn this paper, we initiate a study of motivic homotopy theory at infinity...
AbstractWe study symmetric powers in the homotopy categories of abstract closed symmetric monoidal m...
Draft, comments are welcomeIn this paper, we initiate a study of motivic homotopy theory at infinity...
AbstractFor fields of characteristic zero, we show that the homotopy category of modules over the mo...
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G o...
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G o...
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