Tangent star cones.
Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules
Technique de descente et théorèmes d'existence en géométrie algébrique. I. Généralités. Descente par morphismes fidèlement plats
Tensor products of drinfeld modules and v-adic representations.
The Algebraic and Geometric Classification of Associative Algebras of Dimension Five.
The differential spectrum of a ring
The divisor of the resultant.
The equations of the abelian surfaces embedded in ...4 (...).
The field of definition of the Mordell-Weil group of an elliptic curve over a function field
The homotopy axiom in semialgebraic cohomology.
The -deformation complex of diagrams of algebras.
The last coefficient of the Samuel polynomial
The last coefficient of the Samuel polynomial
The Lefschetz trace formula for algebraic stacks.
The Neuberg cubic in locus problems.
The one-motif of an algebraic surface
The set of points at which a morphism of affine schemes is not finite
Assume that X,Y are integral noetherian affine schemes. Let f:X → Y be a dominant, generically finite morphism of finite type. We show that the set of points at which the morphism f is not finite is either empty or a hypersurface. An example is given to show that this is no longer true in the non-noetherian case.
The sign of the functional equation of the L-function of an orthogonal motive.
The singular sets of a complex of modules.
The six operations for sheaves on Artin stacks I: Finite coefficients
In this paper we develop a theory of Grothendieck’s six operations of lisse-étale constructible sheaves on Artin stacks locally of finite type over certain excellent schemes of finite Krull dimension. We also give generalizations of the classical base change theorems and Kunneth formula to stacks, and prove new results about cohomological descent for unbounded complexes.