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
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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 12:14 |
| Last Modified: | 18 Apr 2012 12:14 |
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