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The Enumerative Theory of Conics after Halphen de Eduardo Casas-Alvero

The Enumerative Theory of Conics after Halphen: Lecture Notes in Mathematics, cartea 1196

Autor Eduardo Casas-Alvero, Sebastian Xambo-Descamps
en Limba Engleză Paperback – iun 1986

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Specificații

ISBN-13: 9783540164951
ISBN-10: 3540164952
Pagini: 144
Ilustrații: VIII, 128 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.21 kg
Ediția:1986
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.