E-Book, Englisch, Band 1196, 128 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Casas-Alvero / Xambo-Descamps The Enumerative Theory of Conics after Halphen
Erscheinungsjahr 2006
ISBN: 978-3-540-39832-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1196, 128 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-39832-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.