Deformations of theta divisors and the rank 4 quadrics problem
Deformations of Weierstraß Elliptic Surfaces.
Deforming syzygies of liftable modules and generalised Knörrer functors
Maps between deformation functors of modules are given which generalise the maps induced by the Knörrer functors. These maps become isomorphisms after introducing certain equations in the target functor restricting the Zariski tangent space. Explicit examples are given on how the isomorphisms extend results about deformation theory and classification of MCM modules to higher dimensions.
Deforming Vector Bundles on the Projective Plane.
Degeneracy of holomorphic maps via orbifolds
We use orbifold structures to deduce degeneracy statements for holomorphic maps into logarithmic surfaces. We improve former results in the smooth case and generalize them to singular pairs. In particular, we give applications on nodal surfaces and complements of singular plane curves.
Degenerate (r-2)-Dimensional subvarieties through the generic hyperplane section of a reduced irreducible complex curve in pr.
Degenerate Symplectic and Orthogonal Bundles an IP1.
Degeneration of Schubert varieties of to toric varieties
Using the polytopes defined in an earlier paper, we show in this paper the existence of degeneration of a large class of Schubert varieties of to toric varieties by extending the method used by Gonciulea and Lakshmibai for a miniscule to Schubert varieties in .
Degeneration of the Kummer sequence in characteristic
We study a deformation of the Kummer sequence to the radicial sequence over an -algebra, which is somewhat dual for the deformation of the Artin-Schreier sequence to the radicial sequence, studied by Saidi. We also discuss some relations between our sequences and the embedding of a finite flat commutative group scheme into a connected smooth affine commutative group schemes, constructed by Grothendieck.
Degenerations for representations of quivers with relations
Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components
We establish when the partial orders and coincide for all modules of the same dimension from the additive category of a generalized standard almost cyclic coherent component of the Auslander-Reiten quiver of a finite-dimensional algebra.
Degenerations in the Module Varieties of Generalized Standard Auslander-Reiten Components
Degenerations of Horrocks-Mumford Surfaces.
Degenerations of moduli of stable bundles over algebraic curves
Degenerations of Prym varieties and intersections of three quadrics.
Dégénérescence de la suite spectrale de Hodge vers De Rham
Degré de la variété duale d'une hypersurface à singularités isolées
Degré des diviseurs sur les families de courbes de P3.
Degré d’une extension de sur laquelle est semi-stable
Soit un entier . Pour un nombre premier on note l’extension maximale non ramifiée de . Supposons que divise exactement . Alors, en utilisant les travaux de Carayol et la théorie du corps de classes local, on détermine une extension de sur laquelle la jacobienne de la courbe modulaire de admet une réduction semi-stable, puis on donne une estimation de son degré.
Degree Bounds for the Defining Equations of Arithmetically Cohen-Macauly Varieties.