Some results on the syzygies of finite sets and algebraic curves

M. Green; R. Lazarsfeld

Compositio Mathematica (1988)

  • Volume: 67, Issue: 3, page 301-314
  • ISSN: 0010-437X

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Green, M., and Lazarsfeld, R.. "Some results on the syzygies of finite sets and algebraic curves." Compositio Mathematica 67.3 (1988): 301-314. <http://eudml.org/doc/89920>.

@article{Green1988,
author = {Green, M., Lazarsfeld, R.},
journal = {Compositio Mathematica},
keywords = {syzygies; free resolution of projective variety; complete linear system},
language = {eng},
number = {3},
pages = {301-314},
publisher = {Kluwer Academic Publishers},
title = {Some results on the syzygies of finite sets and algebraic curves},
url = {http://eudml.org/doc/89920},
volume = {67},
year = {1988},
}

TY - JOUR
AU - Green, M.
AU - Lazarsfeld, R.
TI - Some results on the syzygies of finite sets and algebraic curves
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 67
IS - 3
SP - 301
EP - 314
LA - eng
KW - syzygies; free resolution of projective variety; complete linear system
UR - http://eudml.org/doc/89920
ER -

References

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  1. [ACGH] Arbarello, E., Cornalba, M., Griffiths, P. and Harris, J.: Geometry of Algebraic Curves, v. I, Springer-Verlag, New York (1985). Zbl0559.14017
  2. [B] Ballico, E.: Generators for the homogeneous ideal of s general points in P3, J. Alg.106 (1987) 46-52. Zbl0616.14043MR878467
  3. [BS] Bănică, C. and Stănăsilă, O.: Méthodes algébrigues dans la théorie globale des espaces complexes, Gauthiers-Villars, Paris (1974). Zbl0349.32006
  4. [F] Fujita, T.: Defining equations for certain types of polarized varieties, in Complex Analysis and Algebraic Geometry, pp. 165-173, Cambridge University Press (1977). Zbl0353.14011MR437533
  5. [GGR] Geramita, A., Gregory, D. and Roberts, L., Monomial ideals and points in projective space, J. Pure Appl. Alg.40 (1986) 33-62. Zbl0586.13015MR825180
  6. [G] Green, M.: Koszul cohomology and the geometry of projective varieties, J. Diff. Geom.19 (1984) 125-171. Zbl0559.14008MR739785
  7. [GL1] Green, M. and Lazarsfeld, R.: On the projective normality of complete linear series on an algebraic curve, Invent. Math.83 (1986) 73-90. Zbl0594.14010MR813583
  8. [GL2] Green, M. and Lazarsfeld, R.: A simple proof of Petri's theorem on canonical curves, in Geometry Today - Giornate di geometria roma, 1984, pp. 129-142, Birkhauser, Boston (1985). Zbl0577.14018
  9. [H] Homma, M.: Theorem of Enriques-Petri type for a very ample invertible sheaf on a curve of genus 3, Math. Zeit.183 (1983) 343-353. Zbl0509.14030MR706392
  10. [L] Laksov, D.: Indecomposability of restricted tangent bundles, Astérisque87-88 (1981) 207-220. Zbl0489.14008MR646821
  11. [M1] Mumford, D.: Varieties defined by quadratic equations, Corso C.I.M.E. 1969, in Questions on Algebraic Varieties, Rome, Cremonese, pp. 30-100 (1970). Zbl0198.25801MR282975
  12. [M2] Mumford, D.: Lectures on curves on an algebraic surface, Ann Math. Stud.59 (1966) Zbl0187.42702MR209285
  13. [S] Serrano-Garcia, F.: A note on quadrics through an algebraic curve, preprint. 
  14. [StD] Saint-Donat, B.: Sur les équations définisant une courbe algebrique, C.R. Acad. Sci. Paris, Ser. A274 (1972) 324-327. Zbl0234.14012MR289516

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