The Clifford dimension of a projective curve
David Eisenbud; Herbert Lange; Gerriet Martens; Frank-Olaf Schreyer
Compositio Mathematica (1989)
- Volume: 72, Issue: 2, page 173-204
- ISSN: 0010-437X
Access Full Article
topHow to cite
topEisenbud, David, et al. "The Clifford dimension of a projective curve." Compositio Mathematica 72.2 (1989): 173-204. <http://eudml.org/doc/89987>.
@article{Eisenbud1989,
author = {Eisenbud, David, Lange, Herbert, Martens, Gerriet, Schreyer, Frank-Olaf},
journal = {Compositio Mathematica},
keywords = {genus of Clifford curves; Clifford dimension; Clifford embedding; Clifford bundle; Castelnuovo formula},
language = {eng},
number = {2},
pages = {173-204},
publisher = {Kluwer Academic Publishers},
title = {The Clifford dimension of a projective curve},
url = {http://eudml.org/doc/89987},
volume = {72},
year = {1989},
}
TY - JOUR
AU - Eisenbud, David
AU - Lange, Herbert
AU - Martens, Gerriet
AU - Schreyer, Frank-Olaf
TI - The Clifford dimension of a projective curve
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 2
SP - 173
EP - 204
LA - eng
KW - genus of Clifford curves; Clifford dimension; Clifford embedding; Clifford bundle; Castelnuovo formula
UR - http://eudml.org/doc/89987
ER -
References
top- [Ac] R.D.M. Accola: Plane models for Riemann surfaces admitting certain half-canonical linear series, part I, in Riemann Surfaces and related topics: Proceedings of the 1978 Stony Brook Conference, ed. I. Kra and B. Maskt, Annals of Math. Studies97, pp 7-20, Princeton University Press1981. Zbl0491.30038MR624801
- [ACGH] E. Arbarello, M. Cornalba, P.A. Griffith, J. Harris: Geometry of Algebraic curves Vol I, Grundl, d. math. Wiss.267, Springer Verlag (1985). Zbl0559.14017MR770932
- [BE] D.A. Buchsbaum, D. Eisenbud: Algebra structures for finite free resolutions and some structure theorems for ideals in codimension 3. Am. J. Math.99(1977), 447-485. Zbl0373.13006MR453723
- [BPV] W. Barth, C. Peters, A. Van de Ven: Compact complex surfaces, Erg. d. Math. u. Grenzg.3 Folge 4, Springer Verlag (1984) Zbl0718.14023MR749574
- [BS] D. Bayer, M. Stillman: Macaulay, a computer algebra system, 1981-1989. Available free for a variety of computers from D. Bayer, Dept. of Math. Columbia Univ. or M. Stillman, Dept. of Math., Cornell Univ.
- [Ba] E. Ballico: On the Clifford index of algebraic curves, Proc. Am. Math. Soc.97 (1986), 217-218. Zbl0591.14020MR835868
- [Ca] D. Castelnuovo: Una applicazione delle geometria ennumerativa alle curve algebraique, Rendic. Palermo 3°.89 JFM21.0674.02
- [EH] D. Eisenbud, J. Harris: Curves of almost maximal genus. Les Presses de l'université de Montréal (1982), 81-138. MR685427
- [F] H.M. Farkas: Remarks on Clifford indices. J. Reine Angew. Math.391 (1988), 213-220. Zbl0651.14018MR961170
- [Gr] M. Green: Koszul cohomology of projective varieties I, J. Diff. Geometry19 (1984), 127-171. Zbl0559.14008
- [GLI] M. Green, R. Lazarsfeld: On the projective normality of complete linear series on an algebraic curve, Inv. Math.83 (1986), 73-90. Zbl0594.14010MR813583
- [GL2] M. Green, R. Lazarsfeld: Special divisors on K3-surfaces, Inv. Math.89 (1987), 357-370. Zbl0625.14022MR894384
- [Ho] T. Horowitz: Varieties of low Δ-genus, Duke Math. J.50 (1983), 667-683. Zbl0536.14021
- [Ma1] G. Martens: Funktionen von vorgegebener Ordnung auf komplexen Kurven, J. Reine Angew. Math.320 (1980), 68-85. Zbl0441.14010MR592143
- [Ma2] G. Martens: Über den Clifford Index algebraischer Kurven, J. Reine Angew. Math.336 (1982), 83-90. Zbl0484.14010MR671322
- [Ma3] G. Martens: On Dimension Theorems of the Varieties of Special Divisors on a Curve, Math. Ann.267(1984), 279-288. Zbl0519.14021MR738253
- [Ma4] G. Martens: On curves on K3-surfaces. to appear.
- [May] A. Mayer: Families of K3-surfaces, Nayoga Math. J.48 (1972), 107-111. Zbl0244.14012MR330172
- [Me] T. Meis: Die minimale Blätterzahl der Konkretisierungen einer kompakten Riemannschen Fläsche. Schriftenreihe des Math. Inst. d. Univ. Münster16 (1960). Zbl0093.07603MR147643
- [Mo] D.R. Morrison: On K3-surfaces with large Picard number. Inv. Math.75 (1984),105-121. Zbl0509.14034MR728142
- [0] C. Okonek: Moduli reflexiver Garben und Flächen von kleinem Grad in P4, Math. Z.184 (1983), 549-572. Zbl0524.14018MR719493
- [Ri] J. Riordan: Combinatorial Identities. John Wiley & Sons (1968) Zbl0194.00502MR231725
- [Si] C.L. Siegel: Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss.,Phys. -Math. KL., 1929, Nr. 1. Zbl56.0180.05JFM56.0180.05
- [Sch] F.O. Schreyer: Syzygies of canonical curves and special linear series, Math. Ann.275 (1986), 105-137. Zbl0578.14002MR849058
- [S-D] B. Saint-Donat: Projective models of K3-surfaces, Amer. J. Math.96 (1974), 602-639. Zbl0301.14011MR364263
- [So] A. Sommese: Hyperplane sections of projective surfaces I The adjunction mapping, Duke Math. J.46 (1979), 377-401. Zbl0415.14019MR534057
- [Sz] G. Szegö: Orthogonal polynomials, Amer. Math. Soc. Coll. Publ. XXIII, New York (1959). JFM65.0278.03
- [VdV] A. Van de Ven: On the 2-connectedness of very ample divisors on a surface, Duke Math. J.46 (1979), 403-406. Zbl0458.14003MR534058
Citations in EuDML Documents
top- Giuseppe Pareschi, Gaussian maps and multiplication maps on certain projective varieties
- Bénédicte Basili, Indice de Clifford des intersections complètes de l'espace
- A. Hirschowitz, S. Ramanan, New evidence for Green's conjecture on syzygies of canonical curves
- Jean-Philippe Monnier, Clifford’s Theorem for real algebraic curves
- Marc Coppens, Gerriet Martens, Secant spaces and Clifford's theorem
- Arnaud Beauville, La conjecture de Green générique
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.