Gaussian maps and multiplication maps on certain projective varieties

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1. [A] Accola, R.: "Plane models for Riemann surfaces admitting certain half canonical linear series I" in: Riemann surfaces and related topics, Princeton Univ. Press (1980). Zbl0491.30038MR624801
2. [ACGH] Arbarello, E., Comalba, M., Griffiths, Ph., Harris, J.: Geometry of algebraic curves, Vol. I, Springer-Verlag (1985). Zbl0559.14017MR770932
3. [B] Ballico, E.: "On the Clifford index of algebraic curves ", Proc. AMS97 (1986) 217-218. Zbl0591.14020MR835868
4. [BM] Beauville, A., Merindol, J.Y.: "Sectiones hyperplanes des surfaces K3 ", Duke Math. J.55 (1987) 873-878. Zbl0663.14028MR916124
5. [BEL] Bertram, A., Ein, L., Lazarsfeld, R.: "Surjectivity of gaussian maps for line bundles of large degree on curves" in Algebraic geometry, LNM1479, Springer-Verlag (1991) 15-25. Zbl0752.14036MR1181203
6. [Bu] Butler, D.: "Normal generation of vector bundles over a curve", J. Diff. Geom.39 (1994) 1-34. Zbl0808.14024MR1258911
7. [C] Ciliberto, C.: "On rationally determined line bundles on a family of projective curves with general moduli", Duke Math. J.55 (1987) 909-917. Zbl0657.14013MR916128
8. [CHM] Ciliberto, C., Harris, J., Miranda, R.: "On the surjectivity of the Wahl map", Duke Math. J.57 (1988) 829-858. Zbl0684.14009MR975124
9. [CS] Ciliberto, C., Semesi, E.: "Singularities of the theta divisor and congruences of planes", J. Alg. Geom.1 (1992) 231-250. Zbl0787.14019MR1144438
10. [CM] Coppens, M., Martens, G.: "Secant spaces and Clifford's theorem", Compositio Math.78 (1991) 193-212. Zbl0741.14035MR1104787
11. [D] Del Centina, A.: "Remarks on curves admitting an involution of genus ≽ 1 and some applications", Boll. U.M.I. (6) 4-B(1985) 671-683. Zbl0609.14017
12. [EKS] Eisenbud, D., Koh, J., Stillman, M.: "Determinantal equations for curves of high degree", Amer. J. Math.110 (1988) 513-539. Zbl0681.14027MR944326
13. [ELMS] Eisenbud, D., Lange, H., Martens, G., Schreyer, F.: "The Clifford dimension of a projective curve ", Conmpositio Math.72 (1989), 173-204. Zbl0703.14020MR1030141
14. [FHL] Fulton, W., Harris, J., Lazarsfeld, R.: "Excess linear series on an algebraic curve ", Proc. AMS92 (1984) 320-322. Zbl0549.14004MR759642
15. [FL] Fulton, W., Lazarsfeld, R.: "On the connectedness of degeneracy loci and special divisors", Acta Math.146 (1981). Zbl0469.14018MR611386
16. [G] Green, M.: "Koszul cohomology and the geometry of projective varieties", J. Diff. Geom.19 (1984) 125-171. Zbl0559.14008MR739785
17. [GL] Green, M., Lazarsfeld, R.: "On the projective normality of complete linear series on an algebraic curve", Inv. Math.83 (1986) 73-90. Zbl0594.14010MR813583
18. [Gh] Ghione, F.: "Un probleme de type Brill-Noether pour les fibres vectioriels", in: LNM997, Springer-Verlag (1983). Zbl0538.14022MR714749
19. [K1] Kempf, G.: "Towards the inversion of abelian integrals, I", Ann. of Math.110 (1979) 243-273. Zbl0452.14011MR549489
20. [K2] Kempf, G.: Complex abelian varieties and theta functions, Springer-Verlag (1991). Zbl0752.14040MR1109495
21. [K3] Kempf, G.: "Projective coordinate rings of abelian varieties", in Algebraic Analysis, Geometry and Number Theory (Igusa, J. I., ed), Johns Jopkins Press (1989) 225-236. Zbl0785.14025MR1463704
22. [L1] Lazarsfeld, R.: "A sampling of vector bundles techniques in the study of linear series", in: Lectures on Riemann surfaces (Cornalba, M., Gomez-Mont, X., Verjiovski, A. eds), World Scientific (1989). Zbl0800.14003MR1082360
23. [L2] Lazarsfeld, R.: "Some applications of the theory of positive vector bundles", in: LNM1092, Springer-Verlag (1984). Zbl0547.14009MR775876
24. [L3] Lazarsfeld, R.: "Brill-Noether-Petri without degeneration ", J. Diff. Geom.23 (1986) 299-307. Zbl0608.14026MR852158
25. [Lo] Lopez, A.: "Surjectivity of gaussian maps on curves in Pr with general moduli " (preprint). Zbl0894.14012
26. [M1] Mumford, D.: "Varieties defined by quadratic equations", Corso C.I.M.E.1969, in: Questions on algebraic varieties, Cremonese (1970) 30-100. Zbl0198.25801MR282975
27. [M2] Mumford, D.: Abelian varieties, Oxford University Press (1970). Zbl0223.14022MR282985
28. [MS] Martens, G., Schreyer, F.: "Line bundles and syzygies of triginal curves ", Abh. Math. sem. Univ. Hamburg56 (1986) 169-189. Zbl0628.14029MR882414
29. [Ma] Maroni, A.: "Le serie lineari sulle curve trigonali", Ann. Mat. Pura e Appl.25 (1946) 341-354. Zbl0061.35407MR24182
30. [Mu] Mukai, S.: "Duality between D(X) and D(X) with its application to Picard sheaves ", 81 (1981) 153-175. Zbl0417.14036MR607081
31. [N] Nagata, M.: "On self intersection of vector bundles of rank 2 on Riemann surface", Nagoya Math. J.37 (1970) 191-196. Zbl0193.21603MR258829
32. [P] Paoletti, R.: "On the surjectivity of Wahl maps on a general curve", preprint. 
33. [V] Voisin, C.: "Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri", Acta Math.168 (1992) 249-272. Zbl0767.14012MR1161267
34. [W1] Wahl, J.: "The jacobian algebra of a graded Gorenstein singularity", Duke Math. J.55 (1987) 843-871. Zbl0644.14001MR916123
35. [W2] Wahl, J.: "Gaussian maps on algebraic curves", J. Diff. Geom.32 (1990), 77-98. Zbl0724.14022MR1064866
36. [W3] Wahl, J.: "Introduction to gaussian maps on an algebraic curve" in: Complex projective geometry (Ellingsrud, G., Peskine, Ch., Sacchiero, G., Stromme, S. A. eds) Cambridge Univ. Press (1992) 304-323. Zbl0790.14014MR1201392
37. [We] Welters, G.: "The surface C - C on Jacobi varieties and second order theta functions", Acta Math.157 (1986) 1-22. Zbl0771.14012MR857677