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#### The Canonical Model of a Singular Curve

(Springer, 2009-04)

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

(Springer-Verlag, 2016-07)

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

(2013-09)

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 ...