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The Enumerative Theory of Conics after Halphen by Eduardo Casas-Alvero
The Enumerative Theory of Conics after Halphen by Eduardo Casas-Alvero
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The Enumerative Theory of Conics after Halphen

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Description



Table of 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.
Release date Australia
June 1st, 1986
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Illustrations
VIII, 128 p.
Pages
128
Dimensions
156x234x7
ISBN-13
9783540164951
Product ID
2830834

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