Introduces arithmetic C(S^1,R)-modules whose K_0 yields Euler characteristics for perfect etale Z_l-sheaves and prismatic F-gauges without Tate semi-simplicity, removing the assumption from Milne's cohomological zeta-value formula.
Homotopy theory of simplicial presheaves in completely decomposable topologies
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
There are two approaches to the homotopy theory of simplicial (pre-)sheaves. One developed by Joyal and Jardine works for all sites but produces a model structure which is not finitely generated even in the case of sheaves on a Noetherian topological space. The other one developed by Brown and Gersten gives a nice model structure for sheaves on a Noetherian space of finite dimension but does not extend to all sites. In this paper we define a class of sites for which a generalized version of the Brown-Gersten approach works.
fields
math.AG 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Special Values without Semi-Simplicity Via K-Theory
Introduces arithmetic C(S^1,R)-modules whose K_0 yields Euler characteristics for perfect etale Z_l-sheaves and prismatic F-gauges without Tate semi-simplicity, removing the assumption from Milne's cohomological zeta-value formula.