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Algebra, Geometry and Their Interactions
 
Edited by: Alberto Corso University of Kentucky, Lexington, KY
Juan Migliore University of Notre Dame, Notre Dame, IN
Claudia Polini University of Notre Dame, Notre Dame, IN
Algebra, Geometry and Their Interactions
eBook ISBN:  978-0-8218-8127-9
Product Code:  CONM/448.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Algebra, Geometry and Their Interactions
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Algebra, Geometry and Their Interactions
Edited by: Alberto Corso University of Kentucky, Lexington, KY
Juan Migliore University of Notre Dame, Notre Dame, IN
Claudia Polini University of Notre Dame, Notre Dame, IN
eBook ISBN:  978-0-8218-8127-9
Product Code:  CONM/448.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4482007; 270 pp
    MSC: Primary 05; 13; 14; 65

    This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

    Readership

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

  • Table of Contents
     
     
    • Articles
    • Marina Bertolini, Gian Mario Besana and Cristina Turrini — Instability of projective reconstruction from 1-view near critical configurations in higher dimensions [ MR 2389231 ]
    • Karen A. Chandler — Examples and counterexamples on the conjectured Hilbert function of multiple points [ MR 2389232 ]
    • Catalin Ciuperca, William Heinzer, Jack Ratliff and David Rush — Projectively full ideals in Noetherian rings, a survey [ MR 2389233 ]
    • Kia Dalili and Wolmer V. Vasconcelos — Cohomological degrees and the HomAB conjecture [ MR 2389234 ]
    • John A. Eagon — A minimal generating set for the first syzygies of a monomial ideal [ MR 2389235 ]
    • Elisa Gorla — Lifting the determinantal property [ MR 2389236 ]
    • Huy Tài Hà and Adam Van Tuyl — Resolutions of square-free monomial ideals via facet ideals: a survey [ MR 2389237 ]
    • Melvin Hochster — Some finiteness properties of Lyubeznik’s $\scr F$-modules [ MR 2389238 ]
    • Craig Huneke, Juan Migliore, Uwe Nagel and Bernd Ulrich — Minimal homogeneous liaison and licci ideals [ MR 2389239 ]
    • Jan O. Kleppe and Rosa M. Miró-Roig — Unobstructedness and dimension of families of codimension 3 ACM algebras [ MR 2389240 ]
    • Antonio Lanteri and Hidetoshi Maeda — Ample vector bundles with sections vanishing on submanifolds of sectional genus three [ MR 2389241 ]
    • Ye Lu, Daniel J. Bates, Andrew J. Sommese and Charles W. Wampler — Finding all real points of a complex curve [ MR 2389242 ]
    • Rosa M. Miró-Roig — On the multiplicity conjecture [ MR 2389243 ]
    • J. Maurice Rojas — Efficiently detecting torsion points and subtori [ MR 2389244 ]
    • Anurag K. Singh and Sandra Spiroff — Divisor class groups of graded hypersurfaces [ MR 2389245 ]
    • Karen E. Smith and Howard M. Thompson — Irrelevant exceptional divisors for curves on a smooth surface [ MR 2389246 ]
    • Michael A. van Opstall and Răzvan Veliche — Variation of hyperplane sections [ MR 2389247 ]
    • Cornelia Yuen — Jet schemes of determinantal varieties [ MR 2389248 ]
  • 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: 4482007; 270 pp
MSC: Primary 05; 13; 14; 65

This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

Readership

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

  • Articles
  • Marina Bertolini, Gian Mario Besana and Cristina Turrini — Instability of projective reconstruction from 1-view near critical configurations in higher dimensions [ MR 2389231 ]
  • Karen A. Chandler — Examples and counterexamples on the conjectured Hilbert function of multiple points [ MR 2389232 ]
  • Catalin Ciuperca, William Heinzer, Jack Ratliff and David Rush — Projectively full ideals in Noetherian rings, a survey [ MR 2389233 ]
  • Kia Dalili and Wolmer V. Vasconcelos — Cohomological degrees and the HomAB conjecture [ MR 2389234 ]
  • John A. Eagon — A minimal generating set for the first syzygies of a monomial ideal [ MR 2389235 ]
  • Elisa Gorla — Lifting the determinantal property [ MR 2389236 ]
  • Huy Tài Hà and Adam Van Tuyl — Resolutions of square-free monomial ideals via facet ideals: a survey [ MR 2389237 ]
  • Melvin Hochster — Some finiteness properties of Lyubeznik’s $\scr F$-modules [ MR 2389238 ]
  • Craig Huneke, Juan Migliore, Uwe Nagel and Bernd Ulrich — Minimal homogeneous liaison and licci ideals [ MR 2389239 ]
  • Jan O. Kleppe and Rosa M. Miró-Roig — Unobstructedness and dimension of families of codimension 3 ACM algebras [ MR 2389240 ]
  • Antonio Lanteri and Hidetoshi Maeda — Ample vector bundles with sections vanishing on submanifolds of sectional genus three [ MR 2389241 ]
  • Ye Lu, Daniel J. Bates, Andrew J. Sommese and Charles W. Wampler — Finding all real points of a complex curve [ MR 2389242 ]
  • Rosa M. Miró-Roig — On the multiplicity conjecture [ MR 2389243 ]
  • J. Maurice Rojas — Efficiently detecting torsion points and subtori [ MR 2389244 ]
  • Anurag K. Singh and Sandra Spiroff — Divisor class groups of graded hypersurfaces [ MR 2389245 ]
  • Karen E. Smith and Howard M. Thompson — Irrelevant exceptional divisors for curves on a smooth surface [ MR 2389246 ]
  • Michael A. van Opstall and Răzvan Veliche — Variation of hyperplane sections [ MR 2389247 ]
  • Cornelia Yuen — Jet schemes of determinantal varieties [ MR 2389248 ]
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.