Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
BARIC STRUCTURES ON TRIANGULATED CATEGORIES AND COHERENT SHEAVES
 

Summary: BARIC STRUCTURES ON TRIANGULATED CATEGORIES AND
COHERENT SHEAVES
PRAMOD N. ACHAR AND DAVID TREUMANN
Abstract. We introduce the notion of a baric structure on a triangulated
category, as an abstraction of S. Morel's weight truncation formalism for mixed
-adic sheaves. We study these structures on the derived category Db
G(X) of
G-equivariant coherent sheaves on a G-scheme X. Our main result shows how
to endow this derived category with a family of nontrivial baric structures
when G acts on X with finitely many orbits.
We also describe a general construction for producing a new t-structure on
a triangulated category equipped with given t- and baric structures, and we
prove that the staggered t-structures on Db
G(X) introduced by the first author
arise in this way.
1. Introduction
Let Z be a variety over a finite field. The triangulated category of -adic sheaves
on X has a full subcategory Db
m(Z) of "mixed sheaves," defined in terms of eigen-
values of the Frobenius morphism. The existence and good formal properties of

  

Source: Achar, Pramod - Department of Mathematics, Louisiana State University

 

Collections: Mathematics