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Appendix to "Congruences of small degree in G(1,4)": Pfaffian linkage in codimension three and applications to congruences

Arrondo Esteban, Enrique (1998) Appendix to "Congruences of small degree in G(1,4)": Pfaffian linkage in codimension three and applications to congruences. Communications in Algebra, 26 (10). pp. 3267-3274. ISSN 0092-7872

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Abstract

We introduce the notion of Pfaffian linkage in codimension three and give sufficient conditions for the linked variety to be smooth. As a result, we are able to construct smooth congruences of lines in P-4 whose existence was an open problem.


Item Type:Article
Uncontrolled Keywords:Grassmannian; Pfaffian linkage; liaison; codimension-three
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:14847
References:

[I] E.Arrondo, M.Bertolini, C. Turrini. Quadric bundle congruences in C(1,n)

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Comm. Algebra, 26( 1998). 3249-3266

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Math. France 50 (1992).

[4] K.Okonek. Notes on varieties of codimension 3 in PN, Manuscr. Math. 84

(1994), 421-442.

[5] C.Peskine, L.Szpiro. Liaison des varidtCs algdbriques. I Invent. Math. 26(1974)

271-302.

[6] P.Schenzel. Notes on liaison and duality J. Math. Kyoto Univ. 22(1982), 485-

498.

[7] C.H.Walter. Cohen-Macaulay liaison J.Relne angew. Math. 444(1993), 101-114.

[8] C.H.Walter. Pfaffian subschemes Preprint 1995.

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Deposited On:18 Apr 2012 10:12
Last Modified:06 Feb 2014 10:10

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