Projective surfaces of degree \(r+1\) in projective \(r\)-space and almost non-singular projections

DOI10.1016/j.jpaa.2012.03.008zbMath1258.14041OpenAlexW2043044413MaRDI QIDQ1934979

Peter Schenzel, Markus P. Brodmann

Publication date: 30 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.03.008

zbMATH Keywords

arithmetically Cohen-Macaulay surfacesdel Pezzo and rational surfacesSerre property \(S_2\)

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special surfaces (14J25)

Related Items (1)

On zero-dimensional linear sections of surfaces of maximal sectional regularity

Uses Software

• SINGULAR

Cites Work

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• Projective curves with maximal regularity and applications to syzygies and surfaces
• On varieties of almost minimal degree. I: Secant loci of rational normal scrolls
• A Castelnuovo bound for smooth surfaces
• On varieties of almost minimal degree II: A rank-depth formula
• Arithmetic properties of projective varieties of almost minimal degree
• The Possible Dimensions of the Higher Secant Varieties
• Curves of degree \(r+2\) in \(\mathbb{P}^r\): Cohomological, geometric, and homological aspects

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