Steven L. Kleiman
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A term of Commutative Algebra
(Worldwide Center of Mathematics, 20130504)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 ... 
Two formulas for the BR multiplicity
(SpringerVerlag, 201607)We prove a projection formula, expressing a relative Buchsbaum–Rim multiplicity in terms of corresponding ones over a modulefinite algebra of pure degree, generalizing an old formula for the ordinary (Samuel) multiplicity. ... 
The Picard Scheme
(201309)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 ...