Rational Curves of Degree 10 on a General Quintic Threefold

DOI10.1081/AGB-200063325zbMath1079.14048arXivmath/0412002OpenAlexW2122462138MaRDI QIDQ5466660

Ethan Cotterill

Publication date: 25 August 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412002

zbMATH Keywords

Gröbner basespolynomial idealscurves of low genusspecial curves

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Special algebraic curves and curves of low genus (14H45)

Related Items (7)

Deformation of quintic threefolds to the chordal variety ⋮ Landau-Ginzburg/Calabi-Yau correspondence via wall-crossing ⋮ Rational curves of degree 16 on a general heptic fourfold ⋮ Rational curves on general type hypersurfaces ⋮ Kontsevich spaces of rational curves on Fano hypersurfaces ⋮ Rational curves of degree 11 on a general quintic hypersurface on \(\mathbb P^4\) ⋮ A remark on the intersection of plane curves

Uses Software

• Macaulay2

Cites Work

• A criterion for detecting m-regularity
• On a theorem of Castelnuovo, and the equations defining space curves
• On Singular Curves in the Case of Positive Characteristic
• Courbes de l'espace projectif: Séries linéaires incomplètes et multisécantes.
• ON THE SPACE OF HOLOMORPHIC MAPS FROM THE RIEMANN SPHERE TO THE QUADRIC CONE
• Node polynomials for families: methods and applications
• Higher-dimensional algebraic geometry
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