Surfaces of degree 10 in the projective fourspace via linear systems and linkage

Journal of Algebraic Geometry

Volumn 5, Issue 1, 1996, Pages 13-76

  Popescu, Sorin ^a,b   Ranestad, Kristian ^c  

^a SAARLAND UNIVERSITY   (Germany)

^b HARVARD UNIVERSITY   (United States)

^c UNIVERSITY OF OSLO   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030549459     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (44)

1. 4 , Internat. J. Math. 4 (1993) 873-902.
2. 4 , Math. Z. 200 (1988) 87-110.
3. 4 , Proceedings for the NAVF Conference on Vector Bundles and Special Projective Embeddings (Bergen, July 1989), LNS, vol. 179, London Math. Soc., Cambridge Univ. Press, 1992, pp. 1-23.
4. 4, Proceedings for the NAVF Conference on Vector Bundles and Special Projective Embeddings (Bergen, July 1989), LNS, vol. 179, London Math. Soc., Cambridge Univ. Press, 1992, pp. 32-46.
5. H. F. Baker, Principles of geometry, Vol. VI, Cambridge Univ. Press, 1910, pp. 271ff.
6. W. Barth and R. Moore, Geometry in the space of Horrocks-Mumford surfaces, Topology 28 (1989) 231-245.
7. N and problems of linear algebra, Functional Anal. Appl. 12 (1978) 214-216.
8. 4 not of general type, Bayreuth-Bergen, 1993, preprint.
9. W. Barth, K. Hulek, and R. Moore, Degenerations of Horrocks-Mumford surfaces, Math. Ann. 277 (1987) 735-755.
10. G. Bolondi and J. Migliore, The structure of an even liaison class, Trans. Amer. Math. Soc. 316 (1989) 1-38.
11. 4 and exceptional bundles, Math. Z. 213 (1993) 509-521.
12. A. Comessatti, Sulle superficie die Jacobi semplicimente singolari, Tipografia della Roma Accad. dei Lincei, Roma, 1919.
13. 2 = 4, Math. Ann. 275 (1986) 481-500.
14. 4 , J. Algebraic Geom. 2 (1993) 185-237.
15. 2 ; caractère et position uniforme, Algebraic Geometry (Proceedings, L'Aquila 1988), Lecture Notes in Math., vol. 1417, Springer, Berlin, Heidelberg, New York, Tokyo, 1990, pp. 111-116.
16. 4 , Invent. Math. 95 (1989) 1-12.
17. K. Hulek, Geometry of the Horrocks-Mumford bundle, Algebraic Geometry (Bowdoin, 1985), Proc. Sympos. Pure Math., vol 46, 1987, pp. 69-85.
18. R. Hartshorne, Algebraic geometry, Springer, Berlin, Heidelberg, New York, Tokyo, 1977.
19. K. Hulek, C. Kahn, and S. Weintraub, Moduli spaces of Abelian surfaces: Compactification, degenerations, and theta functions., de Gruyter, Berlin, 1993.
20. 4 , J. Reine Angew. Math. 363 (1985) 201-216.
21. 4 with 15, 000 symmetries, Topology 12 (1973) 63-81.
22. K. Hulek and A. Van de Ven, The Horrocks-Mumford bundle and the Ferrand construction, Manuscripta Math. 50 (1985) 313-335.
23. P. Ionescu, Embedded projective varieties of small invariants I, Proceedings of the Week of Algebraic Geometry (Bucharest, 1982), Lecture Notes in Math., vol. 1056, Springer, Berlin, Heidelberg, New York, Tokyo, 1984.
24. _, Embedded projective varieties of small invariants II, Rev. Roumaine Math. Pures Appl. 31 (1986) 539-544.
25. _, Embedded projective varieties of small invariants III, Algebraic Geometry (Proceedings, L'Aquila 1988), Lecture Notes in Math., vol. 1417, Springer, Berlin, Heidelberg, New York, Tokyo, 1990, pp. 138-154.
26. S. Kleiman, Geometry on grassmannians and applications to splitting bundles and smoothing cycles, Inst. Hautes Études Sci. Publ. Math. 36 (1969) 282-298.
27. 4 , J. Reine Angew. Math. 372 (1986) 71-86.
28. P. Le Barz, Formules pour les multisecantes des surfaces, C.R. Acad. Sci. Paris 292, Serie I (1981) 797-799.
29. R. Lazarsfeld and P. Rao, Linkage of general curves of large degree, Algebraic Geometry - Open Problems (Ravello 1982), Lecture Notes in Math., vol. 997, Springer, Berlin, Heidelberg, New York, Tokyo, 1983, pp. 267-289.
30. N. Manolache, Codimension two linear varieties with nilpotent structures, Math. Z. 210 (1992) 573-580.
31. D. Bayer and M. Stillman, Macaulay: A system for computation in algebraic geometry and commutative algebra, Source and object code available for Unix and Macintosh computers. Contact the authors, or download from zariski.harvard.edu via anonymous ftp.
32. M. Martin-Deschamps and D. Perrin, Sur la classification des courbes gauches, Astérisque 184-185 (1990).
33. B. Moishezon, Complex surfaces and connected sums of complex projective planes, Lecture Notes in Math., vol. 603, Springer, Berlin, Heidelberg, New York, Tokyo, 1977.
34. 4 , Math. Z. 184 (1983) 549-572.
35. 5 , Math. Z. 187 (1984) 209-219.
36. 4 , Math. Z. 191 (1986) 207-223.
37. S. Popescu, On smooth surfaces of degree ≥ 11 in the projective fourspace, Thesis, Univ. des Saarlandes, 1993.
38. Ch. Peskine and L. Szpiro, Liaison des variétés algébriques I, Invent. Math. 26 (1974) 271-302.
39. K. Ranestad, On smooth surfaces of degree ten in the projective fourspace, Thesis, Univ. of Oslo (1988).
40. _, Surfaces of degree 10 in the projective fourspace, Sympos. Math., vol. 32, Academic Press, London, 1991, pp. 271-307.
41. S. Ramanan, Ample divisors on abelian surfaces, Proc. London Math. Soc. 51 (1985) 231-245.
42. L. Roth, On the projective classification of surfaces, Proc. London Math. Soc. 42 (1937) 142-170.
43. 4 , Math. Z. 203 (1990) 527-533.
44. F. Severi, Intorno ai punti doppi improri di una superficie generale dello spazio ai quattro dimensioni, e a suoi punti tripli apparenti, Rend. Circ. Mat. Palermo 15 (1901) 33-51.