Interactions of Classical and Numerical Algebraic Geometry: A Conference in Honor of Andrew Sommese : Interactions of Classical and Numerical Algebraic Geometry, May 22-24, 2008, University of Notre Dame, Notre Dame, Indiana

Front Cover
Daniel James Bates
American Mathematical Soc., Sep 16, 2009 - Mathematics - 362 pages
This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Turning points and bifurcations for homotopies of analytic maps
1
On a connectedness theorem of Debarre
11
Stepsize control for path tracking
21
A primer on Seshadri constants
33
A view on extending morphisms from ample divisors
71
Isotropic models of evolution with symmetries
111
Special scrolls whose base curve has general moduli
133
On varieties whose universal cover is a product of curves with an appendix
161
Numerical computation of the dimensions of the cohomology of twists of ideal
235
Polyhedral methods in numerical algebraic geometry
243
Double covers of Del Pezzo manifolds and bielliptic curve sections
265
vii
278
Total degree vs mixed volume
283
Varieties swept out by Grassmanians of lines
303
Submanifolds with ample normal bundles and a conjecture of Hartshorne
317
A complete kinematic analysis of the SNU 3UPU parallel robot
331

Ideals of numeric realizations of configurations of lines
181
The standard filtration on cohomology with compact supports with
199
A family of exceptional Stewart Gough mechanisms of genus 7
221
The closedness subspace method for computing the multiplicity structure of
347
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information