紀伊國屋書店

基本説明

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.

Full Description

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.

Contents

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