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 / / Daniel J. Bates [and three others], editors

• Record Nr.: UNINA9910821759503321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2009]; ©2009
• ISBN: 0-8218-8175-2; 0-8218-4746-5
• Descrizione fisica: 1 online resource (378 p.)
• Collana: Contemporary mathematics, ; 496 , 0271-4132
• Disciplina: 516.3/5
• Soggetti: Geometry, Algebraic
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Contents -- Preface -- Turning points and bifurcations for homotopies of analytic maps -- On a connectedness theorem of Debarre -- Stepsize control for path tracking -- A primer on Seshadri constants -- 1. Definitions -- 2. Basic properties -- 3. Projective spaces -- 4. Toric varieties -- 5. Slope stability and Seshadri constants -- 6. Seshadri constants on surfaces -- 7. S-slope and fibrations by Seshadri curves -- 8. Algebraic manifestation of Seshadri constants -- References -- A view on extending morphisms from ample divisors -- 1. Introduction -- 2. Background material -- 3. General results -- 4. Some convex geometry speculations -- 5. Applications to Pd-bundles and blowing-ups -- 6. Complete results in the three dimensional case -- 7. Extending P1-bundles -- 8. Fano manifolds as ample divisors -- 9. Ascent properties -- Acknowledgments -- References -- Isotropic models of evolution with symmetries -- Special scrolls whose base curve has general moduli -- On varieties whose universal cover is a product of curves (with an appendix by A. J. Di Scala) -- Ideals of numeric realizations of configurations of lines -- The standard filtration on co-homology with compact supports with an appendix on the base change map and the ; Lefschetz hyperplane theorem -- 1. Introduction -- 2. The geometry of the standard and Leray filtrations -- 3. Appendix: Base change and Lefschetz hyperplane theorem -- References -- A family of exceptional Stewart Gough mechanisms of genus 7 -- Numerical computation of the dimensions of the cohomology of twists of ideal sheaves -- Polyhedral methods in numerical algebraic geometry -- Double covers of Del Pezzo manifolds and bielliptic curve sections -- Total degree vs. mixed volume -- Varieties swept out by Grassmanians of lines -- Submanifolds with ample normal bundles and a conjecture of Hartshorne -- A complete kinematic analysis of the SNU 3-UPU parallel robot -- The closedness subspace method for computing the multiplicity structure of a polynomial system.