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Interactions of Classical and Numerical Algebraic Geometry.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bates, Daniel J.
Otros Autores: Besana, GianMario, Rocco, Sandra Di
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2009.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 material3. 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 linesThe 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 sectionsTotal 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