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On Petri's analysis of the linear system of quadrics through a canonical curve

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References

  1. Andreotti, A., Mayer, A.: On period relations for abelian integrals on algebraic curves. Annali di Scuola Norm. di Pisa Series 3, Vol.21, 189–238 (1967)

    Google Scholar 

  2. Enriques, F.: Sulle curve canoniche di genere p dello Spazio ap-1 dimensioni. Rend. dell'Acc. di Bologna, vol. XXIII pp. 80–82 (1919)

  3. Kempf, G.: On the geometry of a theorem of Riemann. (To appear in Ann. of Math.)

  4. Maroni, A.: Le serie lineari speciali sulle curve trigonali, Ann. di Mat. s. IV, vol.25, 341–354 (1946)

    Google Scholar 

  5. Martens, H. H.: On the varieties of special divisors on a curve. Journal f. Math.227, 111 (1967)

    Google Scholar 

  6. Mumford, D.: Varieties defined by quadratic equations. C.I.M.E. Varenna, 1969

  7. Mumford, D.: Abelian varieties. Oxford University Press, 1970

  8. Petri, K.: Über die invariante Darstellung algebraischer Funktionen einer Veränderlichen. Math. Ann.88, 242 (1922)

    Google Scholar 

  9. Saint-Donat, B.: Projective models ofK-3 surfaces. (To appear in Amer. Journal of Math.)

  10. Saint-Donat, B.: Sur les équations définissant une courbe algébrique. Notes aux Compte-Rendus de l'Acc. des Sciences de Paris, t. 274, pp. 324–327 et pp. 487–489 1972

  11. Serre, J. P.: Groupes algébriques et corps de classes. Publication de l'Université de Nancago. Paris: Hermann 1959

    Google Scholar 

  12. Shokourov, V. V.: The Noether-Enriques theorem on canonical curves. Mat. Sbornik, vol.86, (3) 367 1972

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Harvard University, 02138, Cambridge, Massachusetts, USA

    B. Saint-Donat

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  1. B. Saint-Donat
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This work was supported by CNRS of France and by NSF Grant GP23219

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Saint-Donat, B. On Petri's analysis of the linear system of quadrics through a canonical curve. Math. Ann. 206, 157–175 (1973). https://doi.org/10.1007/BF01430982

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