Altman, Allen; Kleiman, Steven(Worldwide Center of Mathematics, 2013-05-04)
There is no shortage of books on Commutative Algebra, but the present
book is different. Most books are monographs, with extensive coverage.
But there is one notable exception: Atiyah and Macdonald's 1969 classic.
It ...
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. ...
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 ...
Kleiman, Steven L.; Piene, Ragni; Tyomkin, Ilya(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 ...
Kleiman, Steven L.(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 ...