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Commutative Algebra: Interactions with Algebraic Geometry
 
Edited by: Luchezar L. Avramov University of Nebraska, Lincoln, NE
Marc Chardin Université de Paris VI, Paris, France
Marcel Morales University of Grenoble I, St. Martin d’Heres, France
Claudia Polini University of Notre Dame, Notre Dame, IN
Commutative Algebra
eBook ISBN:  978-0-8218-7921-4
Product Code:  CONM/331.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Commutative Algebra
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Commutative Algebra: Interactions with Algebraic Geometry
Edited by: Luchezar L. Avramov University of Nebraska, Lincoln, NE
Marc Chardin Université de Paris VI, Paris, France
Marcel Morales University of Grenoble I, St. Martin d’Heres, France
Claudia Polini University of Notre Dame, Notre Dame, IN
eBook ISBN:  978-0-8218-7921-4
Product Code:  CONM/331.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3312003; 358 pp
    MSC: Primary 13; 14; 35;

    This volume contains 21 articles based on invited talks given at two international conferences held in France in 2001. Most of the papers are devoted to various problems of commutative algebra and their relation to properties of algebraic varieties.

    The book is suitable for graduate students and research mathematicians interested in commutative algebra and algebraic geometry.

    Readership

    Graduate students and research mathematicians interested in commutative algebra and algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • Josep Àlvarez Montaner and Santiago Zarzuela — Linearization of local cohomology modules [ MR 2011762 ]
    • Michel Brion — Multiplicity-free subvarieties of flag varieties [ MR 2011763 ]
    • Ragnar-Olaf Buchweitz — Morita contexts, idempotents, and Hochschild cohomology—with applications to invariant rings [ MR 2011764 ]
    • Antonio Campillo and Santiago Encinas — Some applications of two dimensional complete ideals [ MR 2011765 ]
    • Steven Dale Cutkosky — Generically finite morphisms and simultaneous resolution of singularities [ MR 2011766 ]
    • Juan Elias — Two results on the number of generators [ MR 2011767 ]
    • Kazufumi Eto — When is a binomial ideal equal to a lattice ideal up to radical? [ MR 2011768 ]
    • Hans-Bjørn Foxby and Srikanth Iyengar — Depth and amplitude for unbounded complexes [ MR 2013162 ]
    • Anna Guerrieri and Irena Swanson — On the ideal of minors of matrices of linear forms [ MR 2013163 ]
    • Mitsuyasu Hashimoto — Surjectivity of multiplication and $F$-regularity of multigraded rings [ MR 2013164 ]
    • Jürgen Herzog, Dorin Popescu and Marius Vladoiu — On the Ext-modules of ideals of Borel type [ MR 2013165 ]
    • Mark R. Johnson — Sums of linked tepli ideals [ MR 2013166 ]
    • Bernard Malgrange — Cartan involutiveness = Mumford regularity [ MR 2013167 ]
    • Claudia Miller — The Frobenius endomorphism and homological dimensions [ MR 2013168 ]
    • Uwe Nagel — Characterization of some projective subschemes by locally free resolutions [ MR 2013169 ]
    • Olivier Piltant — On unique factorization in semigroups of complete ideals [ MR 2013170 ]
    • Jan-Erik Roos — Modules with strange homological properties and Chebychev polynomials [ MR 2013171 ]
    • Maria Evelina Rossi and Irena Swanson — Notes on the behavior of the Ratliff-Rush filtration [ MR 2013172 ]
    • Sean Sather-Wagstaff — On symbolic powers of prime ideals [ MR 2013173 ]
    • Wolmer V. Vasconcelos — Multiplicities and the number of generators of Cohen-Macaulay ideals [ MR 2013174 ]
    • Kei-ichi Watanabe — Chains of integrally closed ideals [ MR 2013175 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3312003; 358 pp
MSC: Primary 13; 14; 35;

This volume contains 21 articles based on invited talks given at two international conferences held in France in 2001. Most of the papers are devoted to various problems of commutative algebra and their relation to properties of algebraic varieties.

The book is suitable for graduate students and research mathematicians interested in commutative algebra and algebraic geometry.

Readership

Graduate students and research mathematicians interested in commutative algebra and algebraic geometry.

  • Articles
  • Josep Àlvarez Montaner and Santiago Zarzuela — Linearization of local cohomology modules [ MR 2011762 ]
  • Michel Brion — Multiplicity-free subvarieties of flag varieties [ MR 2011763 ]
  • Ragnar-Olaf Buchweitz — Morita contexts, idempotents, and Hochschild cohomology—with applications to invariant rings [ MR 2011764 ]
  • Antonio Campillo and Santiago Encinas — Some applications of two dimensional complete ideals [ MR 2011765 ]
  • Steven Dale Cutkosky — Generically finite morphisms and simultaneous resolution of singularities [ MR 2011766 ]
  • Juan Elias — Two results on the number of generators [ MR 2011767 ]
  • Kazufumi Eto — When is a binomial ideal equal to a lattice ideal up to radical? [ MR 2011768 ]
  • Hans-Bjørn Foxby and Srikanth Iyengar — Depth and amplitude for unbounded complexes [ MR 2013162 ]
  • Anna Guerrieri and Irena Swanson — On the ideal of minors of matrices of linear forms [ MR 2013163 ]
  • Mitsuyasu Hashimoto — Surjectivity of multiplication and $F$-regularity of multigraded rings [ MR 2013164 ]
  • Jürgen Herzog, Dorin Popescu and Marius Vladoiu — On the Ext-modules of ideals of Borel type [ MR 2013165 ]
  • Mark R. Johnson — Sums of linked tepli ideals [ MR 2013166 ]
  • Bernard Malgrange — Cartan involutiveness = Mumford regularity [ MR 2013167 ]
  • Claudia Miller — The Frobenius endomorphism and homological dimensions [ MR 2013168 ]
  • Uwe Nagel — Characterization of some projective subschemes by locally free resolutions [ MR 2013169 ]
  • Olivier Piltant — On unique factorization in semigroups of complete ideals [ MR 2013170 ]
  • Jan-Erik Roos — Modules with strange homological properties and Chebychev polynomials [ MR 2013171 ]
  • Maria Evelina Rossi and Irena Swanson — Notes on the behavior of the Ratliff-Rush filtration [ MR 2013172 ]
  • Sean Sather-Wagstaff — On symbolic powers of prime ideals [ MR 2013173 ]
  • Wolmer V. Vasconcelos — Multiplicities and the number of generators of Cohen-Macaulay ideals [ MR 2013174 ]
  • Kei-ichi Watanabe — Chains of integrally closed ideals [ MR 2013175 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.