1.

Record Nr.

UNISA996466482403316

Autore

Casas-Alvero Eduardo <1948->

Titolo

The enumerative theory of conics after Halphen / / Eduardo Casas-Alvero and Sebastian Xambo-Descamps

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1986]

©1986

ISBN

3-540-39832-5

Edizione

[1st ed. 1986.]

Descrizione fisica

1 online resource (VIII, 128 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1196

Disciplina

516.15

Soggetti

Intersection theory (Mathematics)

Geometry, Enumerative

Conics, Spherical

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.