Espaces analytiques sous-algébriques
Espaces de Moisezon relatifs et algébrisation des modifications analytiques.
Essential dimension of moduli of curves and other algebraic stacks
In this paper we consider questions of the following type. Let be a base field and be a field extension. Given a geometric object over a field (e.g. a smooth curve of genus ), what is the least transcendence degree of a field of definition of over the base field ? In other words, how many independent parameters are needed to define ? To study these questions we introduce a notion of essential dimension for an algebraic stack. Using the resulting theory, we give a complete answer to...
Etendues and stacks as bicategories of fractions
Extension of the concept of n-function to categories