Halphen's gaps for space curves of submaximum genus
Higher dimensional polarized varieties with non-integral nefvalue.
Higher secant varieties of curves and the theorem of Nagata on ruled surfaces.
Höhere Sekantenvarietäten und Vektorbündel auf Kurven.
Holomorphe Abbildungen zwischen quasiprojektiven Räumen.
Holomorphic Projective Structures on Compact Complex Surfaces.
Homological algebra and divergent series.
Homological projective duality
We introduce a notion of homological projective duality for smooth algebraic varieties in dual projective spaces, a homological extension of the classical projective duality. If algebraic varieties X and Y in dual projective spaces are homologically projectively dual, then we prove that the orthogonal linear sections of X and Y admit semiorthogonal decompositions with an equivalent nontrivial component. In particular, it follows that triangulated categories of singularities of these sections are...
Homologiegruppen von Schnitten zweier Quadriken des P4 und Repräsentanten ihrer Erzeugenden
Homology of singular cubic surfaces in .
Hyperplane arrangements and Milnor fibrations
There are several topological spaces associated to a complex hyperplane arrangement: the complement and its boundary manifold, as well as the Milnor fiber and its own boundary. All these spaces are related in various ways, primarily by a set of interlocking fibrations. We use cohomology with coefficients in rank local systems on the complement of the arrangement to gain information on the homology of the other three spaces, and on the monodromy operators of the various fibrations.
Hypersurfaces of inifnite dimensional Banach spaces, Bertini theorems and embeddings of projective spaces.