The Hodge Conjecture for Fourfolds Admitting a Covering by Rational Curves.
The Hodge de Rham theory of relative Malcev completion
The Hodge Structure of the Intersection of Three Quadrics in an Odd Dimensional Pojective Space.
The Hodge theory of algebraic maps
The homology groups of the links of quasi-ordinary singularities.
The homotopy axiom in semialgebraic cohomology.
The horizontal base locus of multiples of tautological sheaves of projectivised cotangent bundles.
The Horrocks bundles of rank three on P5.
The Horrocks-Mumford Bundle and the Ferrand Construction.
The Horrocks-Mumford bundle restricted to planes.
We study the behavior of the Horrocks-Mumford bundle FHM when restricted to a plane P2 ⊂ P4, looking for all possible minimal free resolutions for the restricted bundle. To each of the 6 resolutions (4 stable and 2 unstable) we find, we then associate a subvariety of the Grassmannian G(2,4) of planes in P4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.
The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra.
The Hyperelliptic Locus with Special Reference to Characteristic Two.
The hyperosculating points of surfaces in
The hyperosculating spaces of hypersurfaces.
The ideal of relations for the ring of invariants of points on the line
The ring of projective invariants of ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point of this paper that, unlike its close relative the ring of invariants of unordered points, this ring can be completely and simply described. In 1894 Kempe found generators for this ring, thereby proving the First Main Theorem for it (in the terminology introduced by Weyl). In this paper we compute...
The incidence class and the hierarchy of orbits
R. Rimányi defined the incidence class of two singularities η and ζ as [η]|ζ, the restriction of the Thom polynomial of η to ζ. He conjectured that (under mild conditions) [η]|ζ ≠ 0 ⇔ ζ ⊂ . Generalizing this notion we define the incidence class of two orbits η and ζ of a representation. We give a sufficient condition (positivity) for ζ to have the property that [η]|ζ ≠ 0 ⇔ ζ ⊂ for any other orbit η. We show that for many interesting cases, e.g. the quiver representations of Dynkin type positivity...
The indecomposability of H*(G/B, L)
The index of centralizers of elements of reductive Lie algebras.
The Index of Stickelberger Ideals of Order2 and Cuspidal Class Numbers .
The infinitesimal and generalized Hodge Conjecture for some families of sextic threefolds.