Globally generated vector bundles on the Segre threefold with Picard number two

DOI10.1002/mana.201500077zbMath1358.14026arXiv1501.05600OpenAlexW1925492957MaRDI QIDQ2805372

Sukmoon Huh, Francesco Malaspina, Edoardo Ballico

Publication date: 11 May 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05600

zbMATH Keywords

Segre embeddingvector bundlecurves in Segre varietiesglobally generated bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Plane and space curves (14H50) Low codimension problems in algebraic geometry (14M07)

Cites Work

• On globally generated vector bundles on projective spaces. II.
• Globally generated vector bundles of rank 2 on a smooth quadric threefold
• The representation type of Segre varieties
• Globally generated vector bundles on complete intersection Calabi-Yau threefolds
• Moduli spaces of rank two ACM bundles on the Segre product of three projective lines
• A degree bound for globally generated vector bundles
• On globally generated vector bundles on projective spaces
• Existence de faisceaux réflexifs de rang deux sur \({\mathbb{P}}^ 3\) à bonne cohomologie. (Existence of reflexive sheaves of rank two on \({\mathbb{P}}^ 3\) with good homology)
• Nouvelles courbes de bon genre dans l'espace projectif. (New curves of good genus in projective space)
• Rank two aCM bundles on the del Pezzo threefold with Picard number 3
• A home-made Hartshorne-Serre correspondence
• Smoothing Curves by Reflexive Sheaves

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