Contemporary Mathematics 2007; 270 pp; softcover Volume: 448 ISBN10: 0821840940 ISBN13: 9780821840948 List Price: US$86 Member Price: US$68.80 Order Code: CONM/448
 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, (squarefree) 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  M. Bertolini, G. M. Besana, and C. Turrini  Instability of projective reconstruction from 1view near critical configurations in higher dimensions
 K. A. Chandler  Examples and counterexamples on the conjectured Hilbert function of multiple points
 C. Ciuperca, W. Heinzer, J. Ratliff, and D. Rush  Projectively full ideals in Noetherian rings, a survey
 K. Dalili and W. V. Vasconcelos  Cohomological degrees and the HomAB conjecture
 J. A. Eagon  A minimal generating set for the first syzygies of a monomial ideal
 E. Gorla  Lifting the determinantal property
 H. T. Há and A. Van Tuyl  Resolutions of squarefree monomial ideals via facet ideals: A survey
 M. Hochster  Some finiteness properties of Lyubeznik's \(\mathcal{F}\)modules
 C. Huneke, J. Migliore, U. Nagel, and B. Ulrich  Minimal homogeneous liaison and Licci ideals
 J. O. Kleppe and R. M. MiróRoig  Unobstructedness and dimension of families of codimension 3 ACM algebras
 A. Lanteri and H. Maeda  Ample vector bundles with sections vanishing on submanifolds of sectional genus three
 Y. Lu, D. J. Bates, A. J. Sommese, and C. W. Wampler  Finding all real points of a complex curve
 R. M. MiróRoig  On the multiplicity conjecture
 J. M. Rojas  Efficiently detecting torsion points and subtori
 A. K. Singh and S. Spiroff  Divisor class groups of graded hypersurfaces
 K. E. Smith and H. M. Thompson  Irrelevent exceptional divisors for curves on a smooth surface
 M. A. van Opstall and R. Veliche  Variation of hyperplane sections
 C. Yuen  Jet schemes of determinantal varieties
