Defects of Cusp Singularities.
Defects of cusp singularities and the classification of Hilbert modular threefolds.
Definable sets over finite fields.
Definable stratification satisfying the Whitney property with exponent 1
We prove that for a finite collection of sets definable in an o-minimal structure there exists a compatible definable stratification such that for any stratum the fibers of its projection onto satisfy the Whitney property with exponent 1.
Defining orbit spaces by inequalities
Déformation d'une singularité isolée d'hypersurface et polynômes de Bernstein
Deformation of Complete Intersections with Singularities.
Deformation of determinantal schemes
Deformation of Hilbert schemes of points on a surface
Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1
Let be a Fano manifold with different from the projective space such that any two surfaces in have proportional fundamental classes in . Let be a surjective holomorphic map from a projective variety . We show that all deformations of with and fixed, come from automorphisms of . The proof is obtained by studying the geometry of the integral varieties of the multi-valued foliation defined by the variety of minimal rational tangents of .
Deformation of Lie algebras and Lie algebras of deformations
Deformation of the nilpotent zero scheme and the intersection ring of invariant subvarieties.
Deformation of Varieties Defined by Sections in Homogeneous Vector Bundles.
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville.
Deformation Theory (Lecture Notes)
First three sections of this overview paper cover classical topics of deformation theory of associative algebras and necessary background material. We then analyze algebraic structures of the Hochschild cohomology and describe the relation between deformations and solutions of the corresponding Maurer-Cartan equation. In Section we generalize the Maurer-Cartan equation to strongly homotopy Lie algebras and prove the homotopy invariance of the moduli space of solutions of this equation. In the last...
Deformation to the normal cone, rationality and the Stückrad-Vogel cycle.
Deformation von Gorenstein-Singularitäten der Kodimension 3.
Deformationen von Quotientensingularitäten (nach zyklischen Gruppen).
Deformations and moduli of Riemann Surfaces with nodes and signatures.
Déformations dans les schémas définis par les identités de Jacobi