On varieties of almost minimal degree in small codimension

DOI10.1016/j.jalgebra.2006.03.027zbMath1118.14056arXivmath/0506279OpenAlexW2081634375MaRDI QIDQ855950

Peter Schenzel, Markus P. Brodmann

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0506279

zbMATH Keywords

divisorVeronese surfacearithmetically Cohen-MacaulayBetti diagramvariety of almost minimal degreelow codimension

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Syzygies, resolutions, complexes and commutative rings (13D02) Low codimension problems in algebraic geometry (14M07)

Related Items

Arithmetic properties of projective varieties of almost minimal degree, The projective dimension of three cubics is at most 5, Smooth varieties of almost minimal degree, Projective curves with maximal regularity and applications to syzygies and surfaces, On the classification of non-normal complete intersections of two quadrics, Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds, Projective curves of degree=codimension+2, A tight bound on the projective dimension of four quadrics, Defining Equations of Rational Curves in Smooth Quadric Surface, Algorithms for Del Pezzo surfaces of degree 5 (construction, parametrization), A bound on the projective dimension of three cubics

Uses Software

• SINGULAR

Cites Work

• Théoremes de Bertini et applications
• Classification of projective varieties of \(\Delta\)-genus one
• Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe
• Towards a structure theory for projective varieties of degree = codimension + 2
• Arithmetic properties of projective varieties of almost minimal degree
• The Geometry of Syzygies
• Curves of degree \(r+2\) in \(\mathbb{P}^r\): Cohomological, geometric, and homological aspects
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