The Enumerative Theory of Conics after Halphen (Lecture Notes in Mathematics, 1196, Band 1196) - Softcover

Casas-Alvero, Eduardo

Softcover

ISBN 10: 3540164952 ISBN 13: 9783540164951

Verlag: Springer, 1986

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Eduardo Casas Alvero is Emeritus Professor at the University of Barcelona since October 2018, where he has been since the early seventies. His main research interests are in algebraic geometry. Casas Alvero is the author of numerous publications including several other successful books, including the following: Analytic Projective Geometry (EMS Publishing House, 2014), Singularities of Plane Curves (London Mathematical Society Lecture Notes Series 279, Cambridge University Press 2000) and Enumerative Theory of conics after Halphen (Lecture Notes in Mathematics 1196, Springer 1986).

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1986
• Sprache: Englisch
• ISBN 10: 3540164952
• ISBN 13: 9783540164951
• Einband: Taschenbuch
• Anzahl der Seiten: 144
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