| eBook ISBN: | 978-0-8218-8234-4 |
| Product Code: | CONM/555.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8234-4 |
| Product Code: | CONM/555.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 555; 2011; 215 ppMSC: Primary 05; 13; 14
This volume contains papers based on presentations given at the Pan-American Advanced Studies Institute (PASI) on commutative algebra and its connections to geometry, which was held August 3–14, 2009, at the Universidade Federal de Pernambuco in Olinda, Brazil.
The main goal of the program was to detail recent developments in commutative algebra and interactions with such areas as algebraic geometry, combinatorics and computer algebra. The articles in this volume concentrate on topics central to modern commutative algebra: the homological conjectures, problems in positive and mixed characteristic, tight closure and its interaction with birational geometry, integral dependence and blowup algebras, equisingularity theory, Hilbert functions and multiplicities, combinatorial commutative algebra, Gröbner bases and computational algebra.
ReadershipGraduate students and research mathematicians interested in commutative algebra and algebraic geometry.
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Table of Contents
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Articles
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Winfried Bruns, Christian Krattenthaler and Jan Uliczka — Hilbert depth of powers of the maximal ideal
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C-Y Jean Chan and Jung-Chen Liu — A note on reductions of monomial ideals in $k[x,y]_{(x,y)}$
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Ciro Ciliberto and Vincenzo Di Gennaro — Plücker-Clebsch formula in higher dimension
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Emanuela De Negri and Elisa Gorla — Invariants of ideals generated by pfaffians
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Juan Elias and Jordi Martínez-Borruel — Hilbert polynomial and the intersection of ideals
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Viviana Ferrer and Israel Vainsencher — Polynomial vector fields with algebraic trajectories
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Philippe Gimenez, Indranath Sengupta and Hema Srinivasan — Minimal free resolutions for certain affine monomial curves
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Shiro Goto and Kazuho Ozeki — Uniform bounds for Hilbert coefficients of parameters
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Craig Huneke — Absolute integral closure
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Gennady Lyubeznik, Wenliang Zhang and Yi Zhang — A property of the Frobenius map of a polynomial ring
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Mahdi Majidi-Zolbanin and Bart Snapp — A note on the variety of pairs of matrices whose product is symmetric
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José Martínez-Bernal, Carlos Rentería-Márquez and Rafael H. Villarreal — Combinatorics of symbolic Rees algebras of edge ideals of clutters
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Paul Roberts and Anurag K. Singh — Reconciling Riemann-Roch results
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Maria Evelina Rossi — Hilbert functions of Cohen-Macaulay local rings
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Janet Striuli and Adela Vraciu — Some homological properties of almost Gorenstein rings
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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This volume contains papers based on presentations given at the Pan-American Advanced Studies Institute (PASI) on commutative algebra and its connections to geometry, which was held August 3–14, 2009, at the Universidade Federal de Pernambuco in Olinda, Brazil.
The main goal of the program was to detail recent developments in commutative algebra and interactions with such areas as algebraic geometry, combinatorics and computer algebra. The articles in this volume concentrate on topics central to modern commutative algebra: the homological conjectures, problems in positive and mixed characteristic, tight closure and its interaction with birational geometry, integral dependence and blowup algebras, equisingularity theory, Hilbert functions and multiplicities, combinatorial commutative algebra, Gröbner bases and computational algebra.
Graduate students and research mathematicians interested in commutative algebra and algebraic geometry.
-
Articles
-
Winfried Bruns, Christian Krattenthaler and Jan Uliczka — Hilbert depth of powers of the maximal ideal
-
C-Y Jean Chan and Jung-Chen Liu — A note on reductions of monomial ideals in $k[x,y]_{(x,y)}$
-
Ciro Ciliberto and Vincenzo Di Gennaro — Plücker-Clebsch formula in higher dimension
-
Emanuela De Negri and Elisa Gorla — Invariants of ideals generated by pfaffians
-
Juan Elias and Jordi Martínez-Borruel — Hilbert polynomial and the intersection of ideals
-
Viviana Ferrer and Israel Vainsencher — Polynomial vector fields with algebraic trajectories
-
Philippe Gimenez, Indranath Sengupta and Hema Srinivasan — Minimal free resolutions for certain affine monomial curves
-
Shiro Goto and Kazuho Ozeki — Uniform bounds for Hilbert coefficients of parameters
-
Craig Huneke — Absolute integral closure
-
Gennady Lyubeznik, Wenliang Zhang and Yi Zhang — A property of the Frobenius map of a polynomial ring
-
Mahdi Majidi-Zolbanin and Bart Snapp — A note on the variety of pairs of matrices whose product is symmetric
-
José Martínez-Bernal, Carlos Rentería-Márquez and Rafael H. Villarreal — Combinatorics of symbolic Rees algebras of edge ideals of clutters
-
Paul Roberts and Anurag K. Singh — Reconciling Riemann-Roch results
-
Maria Evelina Rossi — Hilbert functions of Cohen-Macaulay local rings
-
Janet Striuli and Adela Vraciu — Some homological properties of almost Gorenstein rings
