The Enumerative Theory of Conics after Halphen
Casas-Alvero, Eduardo.
The Enumerative Theory of Conics after Halphen [electronic resource] / by Eduardo Casas-Alvero, Sebastian Xambó-Descamps. - VIII, 128 p. online resource. - Lecture Notes in Mathematics, 1196 0075-8434 ; . - Lecture Notes in Mathematics, 1196 .
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.
9783540398325
10.1007/BFb0076501 doi
Logic, Symbolic and mathematical.
Mathematical Logic and Foundations.
QA8.9-10.3
511.3
The Enumerative Theory of Conics after Halphen [electronic resource] / by Eduardo Casas-Alvero, Sebastian Xambó-Descamps. - VIII, 128 p. online resource. - Lecture Notes in Mathematics, 1196 0075-8434 ; . - Lecture Notes in Mathematics, 1196 .
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.
9783540398325
10.1007/BFb0076501 doi
Logic, Symbolic and mathematical.
Mathematical Logic and Foundations.
QA8.9-10.3
511.3