Rational curves of degree 16 on a general heptic fourfold

DOI10.1016/j.jpaa.2013.04.017zbMath1285.13034arXiv1206.2811OpenAlexW1981892836MaRDI QIDQ392388

Ethan Cotterill

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2811

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Special algebraic curves and curves of low genus (14H45)

Related Items (2)

Dimension counts for cuspidal rational curves via semigroups ⋮ A remark on the intersection of plane curves

Uses Software

• Macaulay2

Cites Work

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• Divisors on general curves and cuspidal rational curves
• Effective algebraic degeneracy
• Rational curves on a general heptic fourfold
• On a theorem of Castelnuovo, and the equations defining space curves
• The semigroup of a space curve singularity
• RATIONAL CURVES OF DEGREE 11 ON A GENERAL QUINTIC 3-FOLD
• On Singular Curves in the Case of Positive Characteristic
• Lower Bounds on Genera of Subvarieties of Generic Hypersurfaces
• Rational curves on general projective hypersurfaces
• Rational curves of degree at most 9 on a general quintic threefold
• Rational Curves of Degree 10 on a General Quintic Threefold
• A correction: ``On a conjecture of Clemens on rational curves on hypersurfaces

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