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.: UNINA9910480008403321
• 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
• Disciplina: 516.3/5
• Soggetti: Geometry, Algebraic; Electronic books.
• 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 cohomology 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""