The algebraic structure and deformation of pfaffian schemes

Kleppe, Hans; Laksov, Dan

doi:10.1016/0021-8693(80)90140-4

Cited by 49 publications

(37 citation statements)

References 12 publications

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“…This last fact has been proved by Marinov [43,44] and Kleppe and Laksov [38] using the principal radical systems technique of Hochster and Eagon. A combinatorial proof which is valid when R contains the rational numbers may be found in [35].…”

Section: Observation 113 Let ψ : F → G Be a Map Of Free R−modules mentioning

confidence: 69%

A family of complexes associated to an almost alternating map, with applications to residual intersections

Kustin¹,

Ulrich²

1992

Memoirs of the AMS

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Section: Observation 113 Let ψ : F → G Be a Map Of Free R−modules mentioning

confidence: 69%

A family of complexes associated to an almost alternating map, with applications to residual intersections

Kustin¹,

Ulrich²

1992

Memoirs of the AMS

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“…[28]), and gives a closed form expression for the multiplicity of a Pfaffian ring. In geometric terms, this theorem gives the dimension (after subtracting 1) and the degree of the projective variety in P ( …”

Section: Corollary 1 the Hilbert Function Of The Pfaffian Ringmentioning

confidence: 99%

The Hilbert Series of Pfaffian Rings

Ghorpade¹,

Krattenthaler

2004

Algebra, Arithmetic and Geometry With Applications

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“…For each integer o S r S n define Denote by I the ideal of R generated by the Pfaffians of order 2s of the matrix Z. According to [14,Theorem 17], I is a prime, Gorenstein ideal of R, with the codimension given by the formula above. In addition, the singular locus of this variety is given by the ideal of Pfaffians of order 2(s -1); in particular it is normal.…”

Section: Symmetric Matricesmentioning

confidence: 99%