14 citations · 55 across the 6 of their papers we have counts for
7 papers
The sheaves--spectrum adjunction
Ko Aoki
This paper demystifies the notion of the smashing spectrum of a stable presentably symmetric monoidal -category, defined as a locale whose opens correspond to smashing loca…
Posets for which Verdier duality holds
Ko Aoki
We discuss two known sheaf-cosheaf duality theorems: Curry's for the face posets of finite regular CW complexes and Lurie's for compact Hausdorff spaces, i.e., covariant Verdier du…
Quasiexcellence implies strong generation
Ko Aoki
We prove that the bounded derived category of coherent sheaves on a quasicompact separated quasiexcellent scheme of finite dimension has a strong generator in the sense of Bondal-V…
Tensor triangular geometry of filtered objects and sheaves
Ko Aoki
We compute the the Balmer spectra of compact objects of tensor triangulated categories whose objects are filtered or graded objects of (or sheaves valued in) another tensor triangu…
The weight complex functor is symmetric monoidal
Ko Aoki
Bondarko's (strong) weight complex functor is a triangulated functor from Voevodsky's triangulated category of motives to the homotopy category of chain complexes of classical Chow…
Antiferromagnetic, metal-insulator, and superconducting phase transitions in underdoped cuprates: Slave-fermion t-J model in the hopping expansion
Akihiro Shimizu, Koji Aoki, Kazuhiko Sakakibara +2
In the present paper, we study a system of doped antiferromagnet in three dimensions at finite temperatures by using the t-J model, a canonical model of strongly-correlated electro…