Examples of non-ample normal bundles
Exceptional collections on isotropic Grassmannians
We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.
Existence, decomposition, and limits of certain Weierstrass points.
Existence of Rank 3 Vector Bundles with Given Chern Classes on Homogeneous Rational 3-Folds.
Experimentation and conjectures in the real Schubert calculus for flag manifolds.
Exponential sums on (Gm)n.
Expression de comme quotient de deux déterminants
Extending Meromorphic Functions on a Grassmannian Variety.
Extensions of toric varieties.
Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
These are expository notes from the 2008 Srní Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.
Extremal plurisubharmonic functions of linear growth on algebraic varieties.
?-factor of a tamely ramified sheaf on a variety.
Factorialite de l΄algebre affine de certaines formes quadratiques
Factorisation de certains morphismes birationnels
Faisceaux pervers, transformation de Mellin et déterminants
Families of -symplectic metrics on full flag manifolds.
Families of -divisible groups with constant Newton polygon.
Families of reduced zero-dimensional schemes.
A great deal of recent activity has centered on the question of whether, for a given Hilbert function, there can fail to be a unique minimum set of graded Betti numbers, and this is closely related to the question of whether the associated Hilbert scheme is irreducible or not. We give a broad class of Hilbert functions for which we show that there is no minimum, and hence that the associated Hilbert sheme is reducible. Furthermore, we show that the Weak Lefschetz Property holds for the general element...
Fano manifolds of degree ten and EPW sextics
O’Grady showed that certain special sextics in called EPW sextics admit smooth double covers with a holomorphic symplectic structure. We propose another perspective on these symplectic manifolds, by showing that they can be constructed from the Hilbert schemes of conics on Fano fourfolds of degree ten. As applications, we construct families of Lagrangian surfaces in these symplectic fourfolds, and related integrable systems whose fibers are intermediate Jacobians.
Fano Schemes of Linear Spaces on Hypersurfaces.