@book{MSMF_1992_2_50__1_0, author = {Arrondo, Enrique and Sols, Ignacio}, title = {On congruences of lines in the projective space {(Chapter} 6 written in collaboration with {M.} {Pedreira)}}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {50}, year = {1992}, doi = {10.24033/msmf.363}, zbl = {0804.14016}, language = {en}, url = {http://www.numdam.org/item/MSMF_1992_2_50__1_0/} }
TY - BOOK AU - Arrondo, Enrique AU - Sols, Ignacio TI - On congruences of lines in the projective space (Chapter 6 written in collaboration with M. Pedreira) T3 - Mémoires de la Société Mathématique de France PY - 1992 IS - 50 PB - Société mathématique de France UR - http://www.numdam.org/item/MSMF_1992_2_50__1_0/ DO - 10.24033/msmf.363 LA - en ID - MSMF_1992_2_50__1_0 ER -
%0 Book %A Arrondo, Enrique %A Sols, Ignacio %T On congruences of lines in the projective space (Chapter 6 written in collaboration with M. Pedreira) %S Mémoires de la Société Mathématique de France %D 1992 %N 50 %I Société mathématique de France %U http://www.numdam.org/item/MSMF_1992_2_50__1_0/ %R 10.24033/msmf.363 %G en %F MSMF_1992_2_50__1_0
Arrondo, Enrique; Sols, Ignacio. On congruences of lines in the projective space (Chapter 6 written in collaboration with M. Pedreira). Mémoires de la Société Mathématique de France, Serie 2, no. 50 (1992), 102 p. doi : 10.24033/msmf.363. http://numdam.org/item/MSMF_1992_2_50__1_0/
[1] Classification of smooth congruences of low degree, Crelle J. reine angew. Math. 393 (1989), 199-219. | Zbl | MR
- ,[2] Communication in the conference on Vector bundles and special projective embeddings, Bergen 1989.
- ,[3] On surfaces in projective 4-space, Thesis, Oslo (1987).
,[4] Monads and moduli of vector bundles, Manuscripta Math. 25 (1978), 323-347. | Zbl | MR
- ,[5] Cohen Macaulay modules on quadrics, in Proceedings of a symposium on Singularities, representation of algebras and vector bundles, in Laurbrecht 1985, Springer LNM 1273 (1986), 58-95. | Zbl
- - ,[6] Cohen-Macaulay modules on hypersurface singularities II, Invent. math. 88 (1987), 165-182. | Zbl | MR
- - ,[7] Reye congruences, Transactions A.M.S. 280 (1983), 738-749. | Zbl | MR
,[8] Unpublished manuscript.
- - ,[9] on rank 2 vector bundles with C21 = 10 and C2 = 3 on Enriques surfaces, Proceedings of the US-USSR Symposium (Chicago 1989), Springer LNM 1479 (1991). | Zbl
- ,[10] Sur les surfaces lisses de P4, Invent.Math., 95 (1989), 1-11. | Zbl | MR
- ,[11] Studio di alcuni sistemi di rette considerati come superficie dello spazio a cinque dimensioni, Annali di Matematica (2) 21 (1893), 141-193. | JFM
,[12] Sulle congruenze di rette del terzo ordine prive di linea singolare, Att. Acc. di Scienze Torino 29 (1894), 474-493. | JFM
,[13] Nuove ricerche sulle congruenze di rette del 3° ordine prive di linea singolare, Memoria della Reale Acad. Sc. Torino (2) 51 (1902), 1-79. | JFM
,[14] Scroll surfaces in Gr(1, P3), Conference on Algebraic Varieties of Small Dimension (Turin, 1965), Rend. Se. Mat. Univ. Polit. Special Issue (1987), 69-75. | Zbl
,[15] Principles of Algebraic Geometry, Wiley Interscience, New York (1978). | Zbl | MR
- ,[16] Surfaces in the Four-Dimensional Grassmannian, Ph. D. thesis, Berkeley (1990).
,[17] Surfaces of degree 10 in Gr(1, P3), Preprint.
,[18] Genre des courbes de l'espace projectif, in Proceedings of TromsȖ conference on Algebraic Geometry. Springer LNM 687 (1977), 31-59. | Zbl | MR
- ,[19] Algebraic Geometry, Springer GTM 52 (1977). | Zbl | MR
,[20] Cohomology of a general instanton bundle, Ann. Scient. E.N.S. 15 (1982), 365-390. | Zbl | MR | Numdam
- ,[21] On a family of rank 3 bundles on Gr(1,3), Crelle J. reine angew. Math. 360 (1985), 124-135. | MR
- ,[22] Line congruences of low degree, Géométrie algébrique et applications II, Travaux en cours, Hermann Paris 1987, 141-154. | Zbl | MR
- ,[23] Vector bundles on the punctured spectrum of a ring, Proc. London Math. Soc. 14 (1964), 689-713. | Zbl | MR
,[24] A rank 2 vector bundle on P4 with 15,000 symmetries, Topology 12 (1973), 63-81. | Zbl | MR
, - ,[25] Variétés projectives lisses de degrés 5 et 6, C.R.A.S. 293 n° 15 (1981), 685-687. | Zbl | MR
,[26] Embedded projective varieties of small invariants I, in Proceedings of the Week of Alg. Geom. Bucharest, Springer LNM 1056 (1984), 142-186. | Zbl | MR
,[27] Embedded projective varieties of small invariants II, Revue Rom. Math. Pure. Appl. 31 (1986), 539-544. | Zbl | MR
,[28] A treatise on the line complex, 1903, New edition, Chelsea Publishing Company, New York, 1969. | Zbl
,[29] Cohen-Macaulay modules on hypersurface singularities I, Invent. Math. 88 (1987), 153-164. | Zbl | MR
,[30] Über die algebraischen Strahlensysteme insbesorende ñ/4ber die ersten und zweiten Ordnung, Abh. Akad. Wiss. Berlin (1866).
,[31] Pathologies III, Am. J. Math. 89 (1967), 94-104. | Zbl | MR
,[32] Critères de scindage pour les fibrés vectoriels sur les grassmanniennes et les quadriques, C.R.A.S. t. 105, (1987), 257-260. | Zbl | MR
,[33] Embeddings in G(1,3), Proc. A.M.S. 95 (1983), 583-586. | Zbl | MR
,[34] Corrigendum to Embeddings in G(1,3), Proc. A.M.S. 95 (1985), 533-536. | Zbl | MR
,[35] Minimal surfaces in the 4-quadric, To appear in Bull. Greek Math. Soc. | Zbl
,[36] Liaison des variétés algébriques, Inv. Math. 26 (1974), 271-302. | Zbl | MR
- ,[37] Surfaces of order 1 in grassmannians, Crelle J. reine angew. Math. 368 (1986), 119-126. | Zbl | MR
,[38] On smooth surfaces of degree 10 in projective fourspace. Preprint.
,[39] Liaison among curves in P3, Inventiones Math. 50 (1979), 205-217. | Zbl | MR
,[40] Liaison equivalence classes, Mathematische Annalen 258 (1981), 169-173. | Zbl | MR
,[41] Geometrie der lage, 2nd ed. Leipzig (1882).
[42] On the projective classification of surfaces, Proc. of London Math. Soc., 42 (1937), 142-170. | Zbl | JFM
,[43] Classification der algebraischen Strahlensysteme, Math. Ann. 37 (1890), 100-140. | JFM
,[44] Intorno ai punti doppi impropri di una superficie generalle dello spazio a quattro dimensioni, e a suoi punti tripli apparenti, Rend. Cir. Mat. Palermo, II Ser. 15 (1901), 33-51. | JFM
,[45] Hyperplane sections of projective surfaces I. The adjunction mapping, Duke Math. Journal 46 (1979), 377-401. | Zbl | MR
,[46] Transversality theorems for families of maps, in Proceedings of 1986 Sundance conference, Springer LNM 1311 (1988), 235-252. | Zbl | MR
,[48] Smooth surfaces of degree 9 in G(1,3), Manuscripta Math. 62 (1988), 417-435. | Zbl | MR
,[49] Constructing vector bundles from codimension two subvarieties, Ph. D. thesis, Leiden (1978).
Cited by Sources: