References
- M. Arap and N. Marshburn, Brill-Noether general curves on Knutsen K3 surfaces, arXiv:1208.4957.
- M. Arap, J. Cutrone, and N. Marshburn, On the existence of certain weak Fano three- folds of Picard number two, arXiv:1112.2611.
- W. Barth, K. Hulek, C. Peters, and A. Van de Ven, Compact Complex Surfaces, 2nd edn. Springer-Verlag, Berlin, 2004.
- B. H. Gross and N. R. Wallach, On the Hilbert polynomials and Hilbert series of homogeneous projective varieties, Arithmetic geometry and automorphic forms, 253-263, Adv. Lect. Math. (ALM), 19, Int. Press, Somerville, MA, 2011.
- J. Harris and I. Morrison, Moduli of Curves, Graduate Texts in Mathematics, 187, Springer-Verlag, New York, 1998.
- T. Johnsen and A. L. Knutsen, K3 Projective Models in Scrolls, Lecture Notes in Mathematics, 1842. Springer-Verlag, Berlin, 2004.
- H. P. Kley, Rigid curves in complete intersection Calabi-Yau threefolds, Compositio Math. 123 (2000), no. 2 185-208.
- A. L. Knutsen, Smooth curves on projective K3 surfaces, Math. Scand. 90 (2002), no. 2, 215-231. https://doi.org/10.7146/math.scand.a-14371
- A. L. Knutsen, On isolated smooth curves of low genera in Calabi-Yau complete intersection threefolds, Trans. Amer. Math. Soc. 364 (2012), no. 10, 5243-5264. https://doi.org/10.1090/S0002-9947-2012-05461-4
- K. Kodaira, On the structure of compact complex analytic surfaces. I, Amer. J. Math. 86 (1964), 751-798. https://doi.org/10.2307/2373157
- R. Lazarsfeld, Brill-Noether-Petri without degenerations, J. Differential Geom. 23 (1986), no. 3, 299-307. https://doi.org/10.4310/jdg/1214440116
-
S. Mukai, Curves, K3 surfaces and Fano 3-folds of genus
${\leq}$ 10, in Algebraic geometry and commutative algebra, Vol. I, 357-377, Kinokuniya, Tokyo, 1988. - S. Mukai, New development of theory of Fano 3-folds: vector bundle method and moduli problem, Sugaku 47 (1995), no. 2, 125-144; translation in: Sugaku Expositions 15 (2002), no. 2, 125-150.
- B. Saint-Donat, Projective models of K-3 surfaces, Amer. J. Math. 96 (1974), 602-639. https://doi.org/10.2307/2373709
- X. Yu, On smooth and isolated curves in general complete intersection Calabi-Yau three-folds, arXiv:1208.6282.
Cited by
- Rational curves in CICYs in products of two projective spaces vol.45, pp.7, 2017, https://doi.org/10.1080/00927872.2016.1233228
- Brill–Noether general curves on Knutsen K3 surfaces vol.352, pp.2, 2014, https://doi.org/10.1016/j.crma.2013.11.020