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The Enumerative Theory of Conics after Halphen [electronic resource] / by Eduardo Casas-Alvero, Sebastian Xambó-Descamps.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1196Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1986Description: VIII, 128 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540398325
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 511.3 23
LOC classification:
  • QA8.9-10.3
Online resources:
Contents:
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.
In: Springer eBooks
Item type: E-BOOKS
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IMSc Library IMSc Library Link to resource Available EBK1199

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.

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