Laudal-type theorems in \(\mathbb{P}^N\)

DOI10.1016/S0019-3577(03)90009-7zbMath1061.14048MaRDI QIDQ1433049

Margherita Roggero

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Vanishing theorems in algebraic geometry (14F17) (3)-folds (14J30) (n)-folds ((n>4)) (14J40)

Related Items (3)

A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture ⋮ When the positivity of the \(h\)-vector implies the Cohen-Macaulay property ⋮ Congruences of lines in \({{\mathbb P}^5}\), quadratic normality, and completely exceptional Monge-Ampère equations

Cites Work

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• Some vanishing properties of the intermediate cohomology of a reflexive sheaf on \(\mathbb{P}^ n\)
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• The border cases of the lifting theorem for surfaces in P4.
• A generalized trisecant lemma
• Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
• Differential-geometric methods for the lifting problem and linear systems on plane curves
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