Complutense University Library

Congruences of small degree in G(1,4)

Arrondo Esteban, Enrique and Bertolini, Marina and Turrini, Cristina (1998) Congruences of small degree in G(1,4). Communications in Algebra, 26 (10). pp. 3249-3266. ISSN 0092-7872

[img] PDF
Restricted to Repository staff only until 2020.

679kB

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

View download statistics for this eprint

==>>> Export to other formats

Abstract

We give the list of all possible congruences in G(1,4) of degree d less than or equal to 10 and we explicitely construct most of them.

Item Type:Article
Uncontrolled Keywords:Grassmann variety; degeneracy loci
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:14845
References:

(11 A.Alzati. 3-Scroll immersi in G(1,4). Ann. Univ.Fermm 32(1986): 45-54.

[2] E.Arrondo. Pfaffian linkage in codimension three and applications to congruences.

Appendix to this work. Comm. Algebra, (26):3267-3274, 1998

[3] E.Arrondo, M.Bertolini and C.Turrini. Classification of smooth congruences

with a fundamental curve. Projective Geometry with applications, Marcel Dekker

LN 166 (1994):43-56.

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

preprint 1995.

[5] M. Beltrametti, M. Schneider, and A. Sommese. Threefolds of degree 9 and 10

in P6. Mathematische Annolen, (288):613-644, 1990.

[6] M. L. Fania and E. L. Livorni. Degree nine manifolds of dimension 2 3. Mathematische

Nachrichten, (169):117-134, 1994.

(71 M. L. Fania and E. L. Livorni. Degree ten manifolds of dimension > 3. To

appear on Mathematische Nachrichten.

[8] T. Fujita. Classification Theories of Polarized Varieties. London Mathematical

Society LN 155 (1990), C.U.P.

[9] P. Griffiths and J. Harris. John Wiley & Sons, 1978.

[lo] R. Hartshorne. Algebmic Geometry. Springer GTM 52 (1977).

[ll] P. Ionescu. Embedded projective varieties of small invariants. Springer LNM

1056 (1984):143-186.

(121 P. Ionescu. Varieties of small degree. An.St.Univ.A.I.Cuza 31 (1985):17-19.

[I31 P. Ionescu. Embedded projective varieties of small invariants 111. In Algebraic

Geometry L'Aquila 1988, Springer LNM 1417 (1990):138-154.

[14] E.Rogora. Varieties with many lines. Manuscripta Math. 82 (1987):207-220.

Deposited On:18 Apr 2012 10:14
Last Modified:06 Feb 2014 10:10

Repository Staff Only: item control page