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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.
| Autorius: | Sebastian Xambo-Descamps, Eduardo Casas-Alvero, |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1986 |
| Knygos puslapių skaičius: | 144 |
| ISBN-10: | 3540164952 |
| ISBN-13: | 9783540164951 |
| Formatas: | 235 x 155 x 9 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „The Enumerative Theory of Conics after Halphen“
