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On the equations defining some rational curves of maximal genus in $\mathbb{P}^3$
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For a nondegenerate irreducible projective variety, it is a classical problem to describe its defining equations and the syzygies among them. In this paper, we precisely determine a minimal generating set and the minimal free resolution of defining ideals of some rational curves of maximal genus in $\P^3$.
Abstract
For a nondegenerate irreducible projective variety, it is a classical problem to describe its defining equations and the syzygies among them. In this paper, we precisely determine a minimal generating set and the minimal free resolution of defining ideals of some rational curves of maximal genus in $\P^3$.
참고문헌 (12)
- G. Castelnuovo, "Ricerche di geometria sulle curve algebraiche", Atti R. Accad. Sci Torino, 24, pp.196~223 (1889)
- D. Eisenbud, "Linear free resolutions and minimal multiplicity", Journal of Algebra, 88, pp.89~133 (1984)
- D. Eisenbud, "Restricting linear syzygies : algebra and geometry", Compositio Math, 141, pp.1460~1478 (2005)
- L. Ein, "Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension", Invent. Math, 111, pp.51~67 (1993)
- R. Ferraro, "Weil divisors on rational normal scrolls", pp.183~198 (2001)
- M. Green, "Some results on the syzygies of finite sets and algebraic curves", Compositio Math, 67, pp.301~314 (1988)
- "Singular 3−1−2 – A computer algebra system for polynomial computations" (2011)[URL]
- L. T. Hoa, "On minimal free resolutions of projective varieties of degree = codimension+2", J. Pure Appl. Algebra, 87, pp.241~250 (1993)
- W. Lee, "Some rational curves of maximal genus in P3", East Asian Math. J
- D. Mumford, "Lectures on curves on an algebraic surface, Annals of Mathematics Studies, No. 59", pp.xi+200~ (1966), Princeton University Press
- U. Nagel, "Arithmetically Buchsbaum divisors on varieties of minimal degree", Trans. Am. Math. Soc, 351, pp.4381~4409 (1999)
- U. Nagel, "On graded Betti numbers and geometrical properties of projective varieties", Manuscripta Math, 84(3-4), pp.291~314 (1994)
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