Higher secant varieties of curves and the theorem of Nagata on ruled surfaces.
Higher-Dimensional Analogues of Inoue-Hirzebruch Surfaces.
Hilbert Modular Forms for the Field Q (...|
Hilbert Modular Surfaces and the Classification of Algebraic Surfaces.
Hilbert schemes of hypersurfaces and numerical criterions.
Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type.
Hirzebruch's Proportionality Theorem in the Non-Compact Case.
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.
Hodge classes on self-products of a variety with an automorphism
Hodge conjecture for cubic 8-folds.
Hodge groups of K3 surfaces.
Hodge metrics and the curvature of higher direct images
Using the harmonic theory developed by Takegoshi for representation of relative cohomology and the framework of computation of curvature of direct image bundles by Berndtsson, we prove that the higher direct images by a smooth morphism of the relative canonical bundle twisted by a semi-positive vector bundle are locally free and semi-positively curved, when endowed with a suitable Hodge type metric.
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.
Holomorphic Automorphisms of Compact Kähler Surfaces and Their Induced Actions in Cohomology.
Holomorphic automorphisms of quadrics.
Holomorphic one-forms on varieties of general type
Holomorphic Projective Structures on Compact Complex Surfaces. II.
Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces
In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
Holomorphic Vector Fields on Complex Surfaces.