The Enumerative Theory of Conics after Halphen

von Sebastian Xambo-Descamps, Eduardo Casas-Alvero

144 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Grundlagen Logik
• ISBN: 9783540164951
• Sprache: Englisch
• Erscheinungsdatum: 01.06.1986
• Größe: 235 x 155 mm
• Verlag: Springer