The Enumerative Theory of Conics after Halphen

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Détails bibliographiques
Auteurs principaux: Casas-Alvero, Eduardo, Xambó-Descamps, Sebastiàn, 1945- (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1196
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• The enumerative theory of conics after Halphen, Eduardo Casas-Alvero, Sebastian Xambó-Descamps, 1986, Berlin, Springer, 1 volume (VIII-128 pages), Lecture notes in mathematics, 3-540-16495-2
• The Enumerative Theory of Conics after Halphen, Texte imprimé, 9783662199909
Table des matières:
  • Conics
  • Complete conics
  • Systems of conics
  • Equations of the degeneration hypersurfaces
  • Conditions imposed on conics
  • Action of the projective group and proper solutions of an enumarative problem
  • Genericity of the data of conditions
  • Local characters of a condition
  • Halphen's first formula
  • Computation of characteristic numbers
  • Examples
  • Strict equivalence of conditions
  • Systems of conics contained in Sp,q
  • Conics satisfying five independent conditions
  • Cycles on W and on B
  • Multiplicity cycles and Noether's formula
  • Improper intersection numbers
  • Generalization of Halphen's formula to conditions of higher order
  • Examples of higher order conditions
  • Strict equivalence of conditions
  • Enumerative ring of W
  • Computation of products in hal· (W)
  • Further examples.