Maximal rank for \(T_{\mathbb{P}^n}\)

DOI10.1007/BF02678210zbMath0904.14028arXivalg-geom/9506010OpenAlexW1988091101MaRDI QIDQ1360909

François Lauze

Publication date: 2 September 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9506010

zbMATH Keywords

tangent bundleminimal free resolutionBetti numbersminimal resolution conjecturemaximal rankCohen-Macaulay type conjectureset of points in \(\mathbb{P}^n\)

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Syzygies, resolutions, complexes and commutative rings (13D02) Topological properties in algebraic geometry (14F45)

Related Items (3)

Resolutions of subsets of finite sets of points in projective space ⋮ Minimal resolution of relatively compressed level algebras ⋮ Exterior algebra methods for the minimal resolution conjecture.

Cites Work

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• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• The Cohen-Macaulay type of points in generic position
• Monomial ideals and points in projective space
• On the Cohen-Macaulay type of s-lines in \(A^{n+1}\)
• Minimally generating ideals defining certain tangent cones
• The minimal resolution conjecture
• Generators for the homogeneous ideal of s general points in \({\mathbb{P}}_ 3\)
• The minimal free resolution of the homogeneous ideal of \(s\) general points in \(\mathbb{P}^ 4\)
• On the homogeneous ideal of the generic union of lines in 3.
• Lectures on Curves on an Algebraic Surface. (AM-59)

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