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

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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.
 

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Contents

Instability of projective reconstruction from 1view near critical configurations in higher dimensions
1
Examples and counterexamples on the conjectured Hilbert function of multiple points
13
Projectively full ideals in Noetherian rings a survey
33
Cohomological degrees and the HomAB conjecture
43
A minimal generating set for the first syzygies of a monomial ideal
63
Lifting the determinantal property
69
A survey
91
Some finiteness properties of Lyubezniks Fmodules
119
Ample vector bundles with sections vanishing on submanifolds of sectional genus three
165
Finding all real points of a complex curve
183
On the multiplicity conjecture
207
Efficiently detecting torsion points and subtori
215
Divisor class groups of graded hypersurfaces
237
Irrelevant exceptional divisors for curves on a smooth surface
245
Variation of hyperplane sections
255
Jet schemes of determinantal varieties
261

Minimal homogeneous liaison and licci ideals
129
Unobstructedness and dimension of families of codimension 3 ACM algebras
141

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