Halphen's gaps for space curves of submaximum genus

DOI10.24033/bsmf.2093zbMath0666.14010OpenAlexW2584538923MaRDI QIDQ3818426

Alberto Dolcetti

Publication date: 1988

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1988__116_2_157_0

zbMATH Keywords

degreepostulationmaximal rank conjecturemaximal genus

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Curves in algebraic geometry (14H99)

Related Items (8)

Curves and stick figures not contained in a hypersurface of a given degree ⋮ The maximal genus of space curves in the range A ⋮ Curves in projective spaces: questions and remarks ⋮ The Hilbert scheme of space curves sitting on a smooth surface containing a line ⋮ Unnamed Item ⋮ Non-gaps for the genera for space curves in the range A ⋮ On the generic plane section of smooth space curves in positive characteristic ⋮ Noether-Lefschetz, space curves and mathematical instantons

Cites Work

• Stable reflexive sheaves
• Liaison des variétés algébriques. I
• Liaison among curves in \(\mathbb{P}^3\)
• Curves with high self-intersection on algebraic surfaces
• Nonstable Reflexive Sheaves on P 3
• On degrees and genera of curves on smooth quartic surfaces in P³
• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
• Genre des courbes de l'espace projectif
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