Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
Height pairings for algebraic cycles on abelian varieties
Helices on some Fano threefolds : constructivity of semiorthogonal bases of
Higher Abel-Jacobi maps.
Higher dimensional polarized varieties with non-integral nefvalue.
Higher jacobians and cycles on abelian varieties
Higher order differentials and Weierstrass points on Gorenstein curves.
Higher order modular forms and mixed Hodge theory
Higher secant varieties of curves and the theorem of Nagata on ruled surfaces.
Hilbert scheme of smooth space curves
Hilbert schemes and stable pairs: GIT and derived category wall crossings
We show that the Hilbert scheme of curves and Le Potier’s moduli space of stable pairs with one dimensional support have a common GIT construction. The two spaces correspond to chambers on either side of a wall in the space of GIT linearisations. We explain why this is not enough to prove the “DT/PT wall crossing conjecture” relating the invariants derived from these moduli spaces when the underlying variety is a 3-fold. We then give a gentle introduction to a small part of Joyce’s theory for such...
Hilbert schemes of hypersurfaces and numerical criterions.
Hilbert sets and zeta functions over finite fields.
Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.
Hodge classes on self-products of a variety with an automorphism
Hodge conjecture for cubic 8-folds.
Hodge filtrations and the higher direct images of canonical sheaves.
Hodge groups of K3 surfaces.
Hodge integrals and invariants of the unknot.
Hodge numbers of a double octic with non-isolated singularities
If B is a surface in ℙ³ of degree 8 which is the union of two smooth surfaces intersecting transversally then the double covering of ℙ³ branched along B has a non-singular model which is a Calabi-Yau manifold. The aim of this note is to compute the Hodge numbers of this manifold.