Introduction The $\ell$-adic formalism Stratifications Topoi Algebraic stacks Convergent complexes Bibliography.
This monograph lays the foundations of a theory that generalizes the studies of sheaves and fibre bundles. The basic new notion introduced here is called a "field of structures". In its simplest form, a field (of topological spaces) is a continuous mapping [Greek lowercase]Pi: E…
This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course. The first several chapters are devoted to background material including chapter…
This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course. The first several chapters are devoted to background material including chapter…
We study the replacement of quantifiers in statements about algebraically closed fields or complete discretely valued fields with residue class field [italic]Z[italic subscript]p and p large compared to the length of the statement, by quantifiers which range over finite sets of …