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  • A term of Commutative Algebra 

    Altman, Allen; Kleiman, Steven (Worldwide Center of Mathematics, 2021-04-11)
    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 

    Kleiman, Steven L. (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 

    Kleiman, Steven L. (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 ...

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