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References
A. Andreotti, On a theorem of Torelli, Amer. J. Math 80 (1958), 801–828.
E. Arbarello, M. Cornalba, P.A. Griffiths and J. Harris, Geometry of algebraic curves, vol. I, Springer, 1985.
D.W. Babbage, A note on the quadrics through a canonical curve, J. London Math Soc. 14 (1939), 310–315.
G. Castelnuovo, Ricerche di geometria sulle curve algebriche, Atti R. Accad. Sci. Torino 24 (1889),196–223.
C. Ciliberto, Hilbert functions of finite sets of points and the genus of a curve in a projective space, in Space curves (Rocca di Papa, 1985), F. Ghione, C. Peskine and E. Sernesi (eds.), LNM 1266 (1987), pp. 24–73.
D. Eisenbud, letter and private notes, c. 1979.
G. Fano, Sopra le curve di dato ordine e dei massimi generi in uno spazio qualunque, Mem. Accad. Sci. Torino 44 (1894), 335–382.
J. Harris, Curves in projective space, Séminaire de Math Sup. 85, Presses Univ. Montréal, 1982.
E. Horikawa, Algebraic surfaces of general type with small c1 2, II, Invent. Math 37 (1976), 121–155.
E. Horikawa, Algebraic surfaces of general type with small c1 2, V, J. Fac. Sci. Univ. Tokyo, Sect IA Math 28 (1981), 745–755.
M. Green and R. Lazarsfeld, Special divisors on curves on a K3 surface, Invent. math 89 (1987), 357–370.
R. Lazarsfeld, Brill-Noether-Petri without degenerations, J. diff. geom. 23 (1986), 299–307.
D. Mumford, Varieties defined by quadratic equations, in Questions on algebraic varieties (CIME conference proceedings, Varenna, 1969), Cremonese, Roma, 1970, pp. 29–100.
K. Petri, Über Spezialkurven I, Math. Ann. 93 (1925), 182–209.
M. Reid, Special linear systems on curves lying on a K3 surface, J. London math soc. 13 (1976), 454–458.
M. Reid, Surfaces with pg=0, K2=2, unpublished manuscript and letters, 1977.
M. Reid, π1 for surfaces with small K2, in LNM 732 (1979), 534–544.
M. Reid, Surface of small degree, Math Ann. 275 (1986), 71–80.
A.J. Sommese, On the birational theory of hyperplane sections of projective three-folds, Notre Dame preprint, c. 1981.
A.N. Tyurin, The geometry of the Poincaré theta-divisor of a Prym variety, Izv. Akad. Nauk SSSR, 39 (1975), 1003–1043 and 42 (1978), 468 = Math USSR Izvestiya 9 (1975), 951–986 and 12 (1978), No. 2.
B. Segre, Su certe varietà algebriche intersezioni di quadriche od a sezioni curvilinee normali, Ann. Mat. Pura App. (4) 84 (1970), 125–155.
Xiao Gang, Hyperelliptic surfaces of general type with K2<4x, Manuscripta Math 57 (1987), 125–148.
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Reid, M. (1990). Quadrics through a canonical surface. In: Sommese, A.J., Biancofiore, A., Livorni, E.L. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083343
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DOI: https://doi.org/10.1007/BFb0083343
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