This is a preview of subscription content, log in via an institution to check access.
References
[BHM] Barth, W., Hulek, K., Moore, R.: Shioda's modular surfaceS(5) and the Horrocks-Mumford bundle. In: Vector bundles on algebraic varieties, Bombay Colloquim 1984, pp. 35–106. Bombay: Oxford University Press 1987
[B] Buchberger, B.: A criterion for detecting unnecessary reductions in the construction of a Gröbner basis. Eurosan '79. (Lect. Notes Comput. Sci., vol. 72, pp. 3–21) Berlin Heidelberg New York: Springer 1979
[BE1] Buchsbaum, D.A., Eisenbud, D.: What makes a complex exact? J. Algebra25, 259–268 (1973)
[BE2] Buchsbaum, D.A., Eisenbud, D.: Algebra structures for finite free resolutions and some structure theorems for ideals in codimension 3. Am. J. Math.99, 447–485 (1977)
[CK1] Crauder, B., Katz, S.: Cremona transformations with smooth irreducible fundamental locus. Am. J. Math.111, 289–309 (1989)
[CK2] Crauder, B., Katz, S.: Cremona transformations and Hartshorne's conjecture. Am. J. Math. (to appear)
[ESB] Ein, L., Shepherd-Baron, N.: Some special Cremona transformations. Am. J. Math.111, 783–800 (1989)
[H] Hartshorne, R.: Algebraic geometry. Berlin Heidelberg New York: Springer 1978
[Ha] Harbourne, B.: Very ample divisors on rational surfaces. Math. Ann.272, 139–153 (1985)
[HVdV] Hulek, K., Van de Ven, A.: The Horrocks-Mumford bundle and the Ferrand construction. Manuscr. Math.50, 313–335 (1986)
[I] Iskovskih, V.A.: Fano 3-folds II. Math. USSR Izv.12, 469–506 (1978)
[M] Miele, M.: Thesis, Erlangen 1990 (to appear)
[PS] Peskine, C., Szpiro, L.: Liaison des variétès algébriques I. Invent. Math.26, 271–302 (1974)
[S1] Schreyer, F.-O.: Syzygies of canonical curves and special linear systems. Math. Ann.275, 105–137 (1986)
[S2] Schreyer, F.-O.: A standard basis approach to the syzygies of a canonical curve. Kaiserslautern preperint 142 (1988)
[ST1] Semple, J.G., Tyrrell, J.A.: The Cremona transformation ofS 6 by quadrics through a normal elliptic septimic scroll1 R 7. Mathematika16, 88–97 (1969)
[ST2] Semple, J.G., Tyrrell, J.A.: TheT 2,4 ofS 6 defined by a rational surface3 F 8. Proc. Lond. Math. Soc. III. Ser.20, 205–221 (1970)
[V] Velú, J.: Courbes elliptiques munies d'un sous groupe ℤ/nℤxμ n . Bull. Soc. Math. Fr. Mem.57 (1978)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hulek, K., Katz, S. & Schreyer, FO. Cremona transformations and syzygies. Math Z 209, 419–443 (1992). https://doi.org/10.1007/BF02570843
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02570843