Now showing items 1-5 of 5
The Canonical Model of a Singular Curve
We give re fined statements and modern proofs of Rosenlicht's re- sults about the canonical model C′ of an arbitrary complete integral curve C. Notably, we prove that C and C′ are birationally equivalent if and only if ...
The Development of Intersection Homology Theory
(American Society for Microbiology, 2008-06)
This historical introduction is in two parts. The first is reprinted with permission from "A century of mathematics in America, Part II," Hist. Math., 2, Amer. Math. Soc., 1989, pp.543-585. Virtually no change has been ...
Enriques diagrams, arbitrarily near points, and Hilbert schemes
(European Mathematical Society, 2011-09)
Given a smooth family F/Y of geometrically irreducible surfaces, we study sequences of arbitrarily near T-points of F/Y; they generalize the traditional sequences of infinitely near points of a single smooth surface. We ...
Two formulas for the BR multiplicity
We prove a projection formula, expressing a relative Buchsbaum–Rim multiplicity in terms of corresponding ones over a module-finite algebra of pure degree, generalizing an old formula for the ordinary (Samuel) multiplicity. ...
The Picard Scheme
This article introduces, informally, the substance and the spirit of Grothendieck's theory of the Picard scheme, highlighting its elegant simplicity, natural generality, and ingenious originality against the larger ...