eBook ISBN:  9780821882344 
Product Code:  CONM/555.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821882344 
Product Code:  CONM/555.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 555; 2011; 215 ppMSC: Primary 05; 13; 14
This volume contains papers based on presentations given at the PanAmerican 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.

Table of Contents

Articles

Winfried Bruns, Christian Krattenthaler and Jan Uliczka — Hilbert depth of powers of the maximal ideal

CY Jean Chan and JungChen Liu — A note on reductions of monomial ideals in $k[x,y]_{(x,y)}$

Ciro Ciliberto and Vincenzo Di Gennaro — PlückerClebsch formula in higher dimension

Emanuela De Negri and Elisa Gorla — Invariants of ideals generated by pfaffians

Juan Elias and Jordi MartínezBorruel — 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 MajidiZolbanin and Bart Snapp — A note on the variety of pairs of matrices whose product is symmetric

José MartínezBernal, Carlos RenteríaMárquez and Rafael H. Villarreal — Combinatorics of symbolic Rees algebras of edge ideals of clutters

Paul Roberts and Anurag K. Singh — Reconciling RiemannRoch results

Maria Evelina Rossi — Hilbert functions of CohenMacaulay local rings

Janet Striuli and Adela Vraciu — Some homological properties of almost Gorenstein rings


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This volume contains papers based on presentations given at the PanAmerican 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

CY Jean Chan and JungChen Liu — A note on reductions of monomial ideals in $k[x,y]_{(x,y)}$

Ciro Ciliberto and Vincenzo Di Gennaro — PlückerClebsch formula in higher dimension

Emanuela De Negri and Elisa Gorla — Invariants of ideals generated by pfaffians

Juan Elias and Jordi MartínezBorruel — 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 MajidiZolbanin and Bart Snapp — A note on the variety of pairs of matrices whose product is symmetric

José MartínezBernal, Carlos RenteríaMárquez and Rafael H. Villarreal — Combinatorics of symbolic Rees algebras of edge ideals of clutters

Paul Roberts and Anurag K. Singh — Reconciling RiemannRoch results

Maria Evelina Rossi — Hilbert functions of CohenMacaulay local rings

Janet Striuli and Adela Vraciu — Some homological properties of almost Gorenstein rings