논문KCI 등재
Factorial nodal complete intersection 3-folds in P^5
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초록
Let X be a nodal complete intersection 3-fold defined by a hypersurface in P^5 of degree n and a smooth quadratic hypersurface in P^5. Then we show that X is factorial if it has at most n^2 − n + 1 nodes and contains no 2-planes, where n = 3, 4.
Abstract
Let X be a nodal complete intersection 3-fold defined by a hypersurface in P^5 of degree n and a smooth quadratic hypersurface in P^5. Then we show that X is factorial if it has at most n^2 − n + 1 nodes and contains no 2-planes, where n = 3, 4.
참고문헌 (9)
- Cheltsov, I., "Factoriality of nodal three-dimensional varieties and connectedness of the locus of log canonical singularities", Mat. Sb, 197, pp.387~414 (2006)
- Cheltsov, I., "Factorial threefold hypersurfaces", J. Algebraic Geom, 19, pp.781~791 (2010)
- Cheltsov, I., "On a conjecture of Ciliberto", Sb. Math, 201, pp.1069~1090 (2010)
- Cynk, S., "Defect of a nodal hypersurface", Manuscripta Math, 104, pp.325~331 (2001)
- Cynk, S., "Non-factorial nodal complete intersection threefolds", Commun. Contemp. Math, 15(5), pp.14~ (2013)
- Edmonds, J., "Minimum partition of a matroid into independent subsets", J. Res. Nat. Bur. Standards Sect. B, 69 B, pp.67~72 (1965)
- Eisenbud, D., "Mathematical Science Research Institute Publications, vol. 15", pp.157~172 (1987), Springer
- Kloosterman, R., "Nodal complete intersection threefold with defect", arXiv preprint arXiv:1503.05420, 1~21 (2015)
- Kosta, D., "Factoriality of complete intersections in P 5", Proc. Steklov Inst. Math, 264, pp.102~109 (2009)
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