@article{CM_1995__98_3_219_0, author = {Pareschi, Giuseppe}, title = {Gaussian maps and multiplication maps on certain projective varieties}, journal = {Compositio Mathematica}, pages = {219--268}, publisher = {Kluwer Academic Publishers}, volume = {98}, number = {3}, year = {1995}, mrnumber = {1351829}, zbl = {0863.14022}, language = {en}, url = {http://archive.numdam.org/item/CM_1995__98_3_219_0/} }
TY - JOUR AU - Pareschi, Giuseppe TI - Gaussian maps and multiplication maps on certain projective varieties JO - Compositio Mathematica PY - 1995 SP - 219 EP - 268 VL - 98 IS - 3 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1995__98_3_219_0/ LA - en ID - CM_1995__98_3_219_0 ER -
Pareschi, Giuseppe. Gaussian maps and multiplication maps on certain projective varieties. Compositio Mathematica, Volume 98 (1995) no. 3, pp. 219-268. http://archive.numdam.org/item/CM_1995__98_3_219_0/
[A] "Plane models for Riemann surfaces admitting certain half canonical linear series I" in: Riemann surfaces and related topics, Princeton Univ. Press (1980). | MR | Zbl
:[ACGH] Geometry of algebraic curves, Vol. I, Springer-Verlag (1985). | MR | Zbl
, , , :[B] On the Clifford index of algebraic curves ", Proc. AMS 97 (1986) 217-218. | MR | Zbl
: "[BM] Sectiones hyperplanes des surfaces K3 ", Duke Math. J. 55 (1987) 873-878. | MR | Zbl
, : "[BEL] Surjectivity of gaussian maps for line bundles of large degree on curves" in Algebraic geometry, LNM 1479, Springer-Verlag (1991) 15-25. | MR | Zbl
, , : "[Bu] Normal generation of vector bundles over a curve", J. Diff. Geom. 39 (1994) 1-34. | MR | Zbl
: "[C] On rationally determined line bundles on a family of projective curves with general moduli", Duke Math. J. 55 (1987) 909-917. | MR | Zbl
: "[CHM] On the surjectivity of the Wahl map", Duke Math. J. 57 (1988) 829-858. | MR | Zbl
, , : "[CS] Singularities of the theta divisor and congruences of planes", J. Alg. Geom. 1 (1992) 231-250. | MR | Zbl
, : "[CM] Secant spaces and Clifford's theorem", Compositio Math. 78 (1991) 193-212. | Numdam | MR | Zbl
, : "[D] Remarks on curves admitting an involution of genus ≽ 1 and some applications", Boll. U.M.I. (6) 4-B(1985) 671-683. | Zbl
: "[EKS] Determinantal equations for curves of high degree", Amer. J. Math. 110 (1988) 513-539. | MR | Zbl
, , : "[ELMS] The Clifford dimension of a projective curve ", Conmpositio Math. 72 (1989), 173-204. | Numdam | MR | Zbl
, , , : "[FHL] Excess linear series on an algebraic curve ", Proc. AMS 92 (1984) 320-322. | MR | Zbl
, , : "[FL] On the connectedness of degeneracy loci and special divisors", Acta Math. 146 (1981). | MR | Zbl
, : "[G] Koszul cohomology and the geometry of projective varieties", J. Diff. Geom. 19 (1984) 125-171. | MR | Zbl
: "[GL] On the projective normality of complete linear series on an algebraic curve", Inv. Math. 83 (1986) 73-90. | MR | Zbl
, : "[Gh] Un probleme de type Brill-Noether pour les fibres vectioriels", in: LNM 997, Springer-Verlag (1983). | MR | Zbl
: "[K1] Towards the inversion of abelian integrals, I", Ann. of Math. 110 (1979) 243-273. | MR | Zbl
: "[K2] Complex abelian varieties and theta functions, Springer-Verlag (1991). | MR | Zbl
:[K3] Projective coordinate rings of abelian varieties", in Algebraic Analysis, Geometry and Number Theory (Igusa, J. I., ed), Johns Jopkins Press (1989) 225-236. | MR | Zbl
: "[L1] 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). | MR | Zbl
: "[L2] Some applications of the theory of positive vector bundles", in: LNM 1092, Springer-Verlag (1984). | MR | Zbl
: "[L3] Brill-Noether-Petri without degeneration ", J. Diff. Geom. 23 (1986) 299-307. | MR | Zbl
: "[Lo] Surjectivity of gaussian maps on curves in Pr with general moduli " (preprint). | Zbl
: "[M1] "Varieties defined by quadratic equations", Corso C.I.M.E. 1969, in: Questions on algebraic varieties, Cremonese (1970) 30-100. | MR | Zbl
:[M2] Abelian varieties, Oxford University Press (1970). | MR | Zbl
:[MS] Line bundles and syzygies of triginal curves ", Abh. Math. sem. Univ. Hamburg 56 (1986) 169-189. | MR | Zbl
, : "[Ma] Le serie lineari sulle curve trigonali", Ann. Mat. Pura e Appl. 25 (1946) 341-354. | MR | Zbl
: "[Mu] Duality between D(X) and D(X) with its application to Picard sheaves ", 81 (1981) 153-175. | MR | Zbl
: "[N] On self intersection of vector bundles of rank 2 on Riemann surface", Nagoya Math. J. 37 (1970) 191-196. | MR | Zbl
: "[P] On the surjectivity of Wahl maps on a general curve", preprint.
: "[V] Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri", Acta Math. 168 (1992) 249-272. | MR | Zbl
: "[W1] The jacobian algebra of a graded Gorenstein singularity", Duke Math. J. 55 (1987) 843-871. | MR | Zbl
: "[W2] Gaussian maps on algebraic curves", J. Diff. Geom. 32 (1990), 77-98. | MR | Zbl
: "[W3] 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. | MR | Zbl
: "[We] The surface C - C on Jacobi varieties and second order theta functions", Acta Math. 157 (1986) 1-22. | MR | Zbl
: "