The Schubert calculus of decomposable permutations. (Le calcul de Schubert des permutations décomposables.)
The second Brauer-Thrall conjecture for isolated singularities of excellent hypersurfaces.
The Second Homology Group of the Mapping Class Group of an Orientable Surface.
The Semigroup of a Singular Point of a Curve with Two Equisingular Branches.
The semigroup of values of acurve singularity with several branches.
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 set of points at which a polynomial map is not proper
We describe the set of points over which a dominant polynomial map is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by .
The set of toric minimal log discrepancies
We describe the set of minimal log discrepancies of toric log varieties, and study its accumulation points.
The Shafarevich-Tate Conjecture for Pencils of Elliptic Curves on K3 Surfaces.
The sign of the functional equation of the L-function of an orthogonal motive.
The Signature of Milnor Fibres and Duality Theorem for Strongly Pseudoconvex Manifolds.
The Signature of Smoothings of Complex Surface Singularities.
The Singular Points on the Moduli Spaces for Smooth Curves.
The singular sets of a complex of modules.
The singularities of Yang-Mills connections for bundles on a surface.
The Singularity of the Canonical Model of Compact Kähler Manifolds.
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.
The six operations for sheaves on Artin stacks II: Adic coefficients
The sixtieth anniversary of the Jacobian Conjecture: a new approach
We investigate an approach of Bass to study the Jacobian Conjecture via the degree of the inverse of a polynomial automorphism over an arbitrary ℚ-algebra.
The size function h° for a pure cubic field