We consider a Deligne-Mumford stack $X$ which is the quotient of an affine scheme $\operatorname{Spec}A$ by the action of a finite group $G$. If the ring $A$ is regular, the Balmer spectrum of the tensor triangulated category of perfect complexes on $X$ is homeomorphic to the space of homogeneous prime ideals in the group cohomology ring $H^*(G,A)$.Comment: 31 page
Consider a finite group $G$ acting on a graded Noetherian $k$-algebra $S$, for some field $k$ of cha...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
Given a ring R and S one of its proper ideals, we obtain a compactification of the prime spectrum of...
Lau E. The Balmer spectrum of certain Deligne-Mumford stacks. Compositio Mathematica . 2023;159(6): ...
The Balmer spectrum of a monoidal triangulated category is an important geometric construction which...
Given a finite cocommutative Hopf algebra $A$ over a commutative regular ring $R$, the lattice of lo...
Grothendieck-Verdier duality is a powerful and ubiquitous structure on monoidal categories, which ge...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated...
We prove that every non-degenerate toric variety, every homogeneous space of a connected linear alge...
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic cu...
This elaborate consists of a detailed presentation of the construction introduced for the first time...
Let $kG$ be the group algebra of a finite group scheme defined over a field $k$ of characteristic $p...
In this paper we construct an action of the affine Hecke category (in its "Soergel bimodules" incarn...
We show that mapping spaces in the p-local motivic stable category over an Fp-scheme are strictly co...
Consider a finite group $G$ acting on a graded Noetherian $k$-algebra $S$, for some field $k$ of cha...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
Given a ring R and S one of its proper ideals, we obtain a compactification of the prime spectrum of...
Lau E. The Balmer spectrum of certain Deligne-Mumford stacks. Compositio Mathematica . 2023;159(6): ...
The Balmer spectrum of a monoidal triangulated category is an important geometric construction which...
Given a finite cocommutative Hopf algebra $A$ over a commutative regular ring $R$, the lattice of lo...
Grothendieck-Verdier duality is a powerful and ubiquitous structure on monoidal categories, which ge...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated...
We prove that every non-degenerate toric variety, every homogeneous space of a connected linear alge...
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic cu...
This elaborate consists of a detailed presentation of the construction introduced for the first time...
Let $kG$ be the group algebra of a finite group scheme defined over a field $k$ of characteristic $p...
In this paper we construct an action of the affine Hecke category (in its "Soergel bimodules" incarn...
We show that mapping spaces in the p-local motivic stable category over an Fp-scheme are strictly co...
Consider a finite group $G$ acting on a graded Noetherian $k$-algebra $S$, for some field $k$ of cha...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
Given a ring R and S one of its proper ideals, we obtain a compactification of the prime spectrum of...