Algebra, Geometry and Their Interactions: International Conference Midwest Algebra, Geometry and Their Interactions: October 7-11, 2005, University of Notre Dame, Notre Dame, Indiana

Alberto Corso · Juan Carlos Migliore · Claudia Polini

jan 2007 · Contemporary mathematics - American Mathematical Society Libri 448 · American Mathematical Soc.

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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.