Homology and cohomology of hypersurfaces with quadratic singular points in generic position
Homology, Belyi functions and canonical curves.
Homology classes of real algebraic sets
There is a large research program focused on comparison between algebraic and topological categories, whose origins go back to 1952 and the celebrated work of J. Nash on real algebraic manifolds. The present paper is a contribution to this program. It investigates the homology and cohomology classes represented by real algebraic sets. In particular, such classes are studied on algebraic models of smooth manifolds.
Homology for irregular connections
Homology with values in a connection with possibly irregular singular points on an algebraic curve is defined, generalizing homology with values in the underlying local system for a connection with regular singular points. Integration defines a perfect pairing between de Rham cohomology with values in the connection and homology with values in the dual connection.
Homology Hopf surfaces
Homology of singular cubic surfaces in .
Homology of the Steinberg variety and Weyl group coinvariants.
Homology of tropical varieties
Homotope lineare Räume auf algebraischen Hyperflächen
Homotopie des foncteurs en groupes.
Homotopiegruppen des Modulraumes MIP2 (?l,c2).
Homotopiegruppen von Hyperflächenschnitten.
Homotopieklassifikation einfach zusammenhängender normaler kompakter komplexer Flächen.
Homotopy Colimit of Quasi-join Diagrams
Homotopy equivalent group representations and Picard groups of the burnside ring and the character ring.
Homotopy properties of algebraic vector bundles.
Homotopy theory of simplicial schemes
Homotopy types of subspace arrangements via diagrams of spaces.
Hopf structure and the Kummer theory of formal groups.
Horikawa Surfaces with Maximal Picard Numbers.