Skew-Symmetric Vanishing Lattices and Their Monodromy Groups. II.
Slices and transfers.
Slopes of effective divisors on the moduli space of stable curves.
Solutions to the XXX type Bethe ansatz equations and flag varieties
We consider a version of the A N Bethe equation of XXX type and introduce a reporduction procedure constructing new solutions of this equation from a given one. The set of all solutions obtained from a given one is called a population. We show that a population is isomorphic to the sl N+1 flag variety and that the populations are in one-to-one correspondence with intersection points of suitable Schubert cycles in a Grassmanian variety. We also obtain similar results for the root systems B N and...
Some abelian threefolds with nontrivial Griffiths group
Some Consequences of the Riemann Hypothesis for Varieties over Finite Fields.
Some Elementary Theorem about Algebraic Cycles on Abelian Varieties.
Some enumerative properties of secants to non-singular projective schemes.
Some examples of torsion in the Griffiths group.
Some Irreducible Hilbert Schemes.
Some new directions in -adic Hodge theory
We recall some basic constructions from -adic Hodge theory, then describe some recent results in the subject. We chiefly discuss the notion of -pairs, introduced recently by Berger, which provides a natural enlargement of the category of -adic Galois representations. (This enlargement, in a different form, figures in recent work of Colmez, Bellaïche, and Chenevier on trianguline representations.) We also discuss results of Liu that indicate that the formalism of Galois cohomology, including Tate...
Some Remarks About Reider's Article 'On the Infinitesimal Torelli Theorem for Certain Irregular Surfaces of General Type'.
Some remarks concerning rank 2 bundles and Chow groups.
Some remarks on morphisms between Fano threefolds.
Some remarks on the arithmetic Hodge index conjecture
Some remarks on the Severi varieties of surfaces in .
Some remarks on the study of good contractions.
Some results on Green's higher Abel-Jacobi map.
Some surfaces with maximal Picard number
For a smooth complex projective variety, the rank of the Néron-Severi group is bounded by the Hodge number . Varieties with have interesting properties, but are rather sparse, particularly in dimension . We discuss in this note a number of examples, in particular those constructed from curves with special Jacobians.
Some variants of Deligne-Grothendieck-MacPherson's natural transformation C* of Chern class.