### Impacto

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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Official URL: http://www.tandfonline.com/loi/lagb20

## 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 |
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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) Preprint 1997. [2] E.Arrondo, M.Bertolini, C. Turrini. Congruences of small degree in G(1,4) Comm. Algebra, 26( 1998). 3249-3266 [3] E.Arrondo, 1.Sols. On congruences of lines in the projective space, Me'm. Soc. 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. Received |

Deposited On: | 18 Apr 2012 10:12 |

Last Modified: | 06 Feb 2014 10:10 |

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