This work provides a detailed exposition of a classical topic from a very recent viewpoint. We describe some foundational aspects of "Lawson homology" for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic cycles.…
This paper offers a systematic approach to all mathematical theories with local/global behavior. To build objects with local and global aspects, on begins with a category of [script]C of allowed local structures, and somehow derives a category [script]C[superscript]gl of things …
In chapter one we address the classification of finite subgroups of [italic capitals]SL([bold]3,[double-struck capital]C). This is followed by a general method to find invariant polynomials and their relations of finite subgroups of [italic capitals]GL([bold]3,[double-struck cap…
In this paper we provide a unified way of looking at the apparently sporadic Weyl groups connected with the classical geometry of surfaces, namely those with 1) the rational double points, 2) the Picard groups of Del Pezzo surfaces, 3) the Kodaira-type degenerations of elliptic …
This paper is devoted to Noether-Lefschetz theory. In the first part, the author recalls the Noether-Lefschetz theorem for surfaces in [double-struck capital]P[superscript]3 and gives a survey of the known proofs; he also describes some more recent results on the "Noether-Lefsch…
