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Syzygies of canonical curves and special linear series

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References

  • [A-H] Abarello, E. Harris, J.: Canonical curves and quadrics of rank 4. Comp. Math.43. 145–179 (1981)

    Google Scholar 

  • [Be] Behnke, K.: On projective resolutions of Frobenius algebras, and Gorenstein rings Math. Ann.257 219–238 (1981)

    Google Scholar 

  • [Beau] Beauville, A.: Surfaces algébriques complexes. Astérisque54, (1978)

  • [B-E1] Buchsbaum, D.A., Eisenbud, D.: What makes a complex exact? J. Alg.25, 259–268 (1973)

    Google Scholar 

  • [B-E2] Buchsbaum, D.A., Eisenbud, D.: Generic free resolutions and a family of generically perfect ideals. Adv. Math.18, 245–301 (1975)

    Google Scholar 

  • [B-E3] 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)

    Google Scholar 

  • [E1] Eisenbud, D.: Transcanonical embeddings of hyperelliptic curves. J. Pure Appl. Alg.19, 77–83 (1980)

    Google Scholar 

  • [E2] Eisenbud, D.: A second course in commutative algebra. Brandeis lecture notes, to appear

  • [E-R-S] Eisenbud, D., Riemenschneider, O., Schreyer, F.-O.: Resolutions of Cohen-Macaulay algebras. Math. Ann.257, 85–98 (1981)

    Google Scholar 

  • [E-N] Eagon, J., Northcott, D.G.: Ideals defined by matrices and a certain complex associated to them. Proc. Roy. Soc. A269, 188–204 (1962)

    Google Scholar 

  • [G-O] Geramita, A.V., Orecchia, F.: On the Cohen-Macaulay type ofs lines inA n+1. J. Alg.70, 116–140 (1981)

    Google Scholar 

  • [G] Green, M.: Koszul cohomology and the geometry of projective varieties. J. Differ. Geom.19, 125–171 (1984)

    Google Scholar 

  • [G-H] Griffith, Ph., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978

    Google Scholar 

  • [Gr] Grothendieck, A.: Théorèmes de dualité pour les faisceaux algebraic cohérents. Séminaire Bourbaki 9e année 1956/57, Exposé 149: Sécretariat mathématique (1959)

  • [Ha] Harris, J.,: A bound on the geometric genus of projective varieties. Ann. Scuola Norm. Pisa8, 35–68 (1981)

    Google Scholar 

  • [Hi] Hilbert, D.: Über die Theorie der algebraischen Formen. Math. Ann.36, 473–534 (1890)

    Google Scholar 

  • [Ke] Kempf, G.: Schubert methods with an application to algebraic curves. Amsterdam: Publication of Mathematisch Zentrum 1971

    Google Scholar 

  • [K-L] Kleiman, S., Laksov, P.: Another proof of the existence of special divisors. Acta Math.132, 163–176 (1974)

    Google Scholar 

  • [Ma] Maroni, A.: Le serie lineari speciali sulle curve trigonali. Ann. Mat.25, 341–354 (1946)

    Google Scholar 

  • [N] Noether, M.: Über die invariante Darstellung algebraischer Funktionen. Math. Ann.17, 163–284 (1880)

    Google Scholar 

  • [P] Petri, K.: Über die invariante Darstellung algebraischer Funktionen einer Variablen. Math. Ann.88, 243–289 (1923)

    Google Scholar 

  • [S-D] Saint-Donat, B.: On Petri's analysis of the linear system of quadrics through a canonical curve. Math. Ann.206, 157–175 (1973)

    Google Scholar 

  • [Sch] Schreyer, F.-O.: Syzygies of curves with special pencils. Thesis, Brandeis 1983

  • [X] Xambo, S.: On projective varieties of minimal degree. Coll. Math.32, 149–163 (1981)

    Google Scholar 

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Schreyer, FO. Syzygies of canonical curves and special linear series. Math. Ann. 275, 105–137 (1986). https://doi.org/10.1007/BF01458587

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