The Enumerative Theory of Conics after Halphen [electronic resource] /

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.

Bibliographic Details

Main Authors:	Casas-Alvero, Eduardo. author., Xambó-Descamps, Sebastian. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1986
Subjects:	Mathematics., Mathematical logic., Mathematical Logic and Foundations.,
Online Access:	http://dx.doi.org/10.1007/BFb0076501
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