Castelnuovo theory via Gröbner bases

DOI10.1515/CRELLE.2008.040zbMath1160.14024MaRDI QIDQ3524813

Ivan Petrakiev

Publication date: 15 September 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Gröbner basisprojective curvearithmetic genusCastelnuovo theoryuniform positionsymmetric position

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Projective techniques in algebraic geometry (14N05) Curves in algebraic geometry (14H99)

Related Items (5)

On special quadratic birational transformations whose base locus has dimension at most three ⋮ On hyperquadrics containing projective varieties ⋮ A generalization of the strong Castelnuovo lemma ⋮ Irreducibility and components rigid in moduli of the Hilbert scheme of smooth curves ⋮ On the canonical map of surfaces with \(q \geq 6\)

Cites Work

• On a theorem of Castelnuovo, and the equations defining space curves

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