Correspondence between projective bundles over \(\mathbb{P}^2\) and rational hypersurfaces in \(\mathbb{P}^4\)

DOI10.1016/j.bulsci.2024.103469MaRDI QIDQ6592008

Shivam Vats

Publication date: 23 August 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

linear systemblow-upprojective bundlesrational hypersurface

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Rational and unirational varieties (14M20) Rationality questions in algebraic geometry (14E08)

Cites Work

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• Vector bundles on complex projective spaces
• Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\)
• Projective bundles and blow-ups of projective spaces
• Hyperplane sections of the projective bundle associated to the tangent bundle of \(\mathbb{P}^2\)
• Examples of blown up varieties having projective bundle structures
• 3264 and All That
• Ample Vector Bundles on Algebraic Surfaces

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