Cohomology of normal bundles of special rational varieties

DOI10.1080/00927872.2020.1718684zbMath1440.14199arXiv2003.02502OpenAlexW3008571430MaRDI QIDQ5112771

Riccardo Re, Alberto Alzati

Publication date: 8 June 2020

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

Full work available at URL: https://arxiv.org/abs/2003.02502

zbMATH Keywords

cohomologynormal bundlerational varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Vanishing theorems in algebraic geometry (14F17) Rational and unirational varieties (14M20) Special algebraic curves and curves of low genus (14H45) Projective techniques in algebraic geometry (14N05) Adjunction problems (14N30)

Related Items (2)

Double covers and extensions ⋮ The canonical module of GT-varieties and the normal bundle of RL-varieties

Cites Work

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• On the normal bundles of smooth rational space curves
• On the variety of smooth rational space curves with given degree and normal bundle
• Normal bundles of rational curves in \(P^ 3\).
• Remarks on the normal bundles of generic rational curves
• Normal bundles of rational curves in projective space
• An algorithm for the normal bundle of rational monomial curves
• \(\mathrm{PGL}(2)\) actions on Grassmannians and projective construction of rational curves with given restricted tangent bundle
• Irreducible components of Hilbert schemes of rational curves with given normal bundle

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