A property of five lines in ℙ3 and four generated 4-instantons

DOI10.1080/00927872.2020.1791896zbMath1460.14092OpenAlexW3044190216MaRDI QIDQ3386819

Nicolae Manolache, Iustin Coandă, Cristian Anghel

Publication date: 7 January 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1791896

zbMATH Keywords

projective spaceglobally generated sheafconfiguration of linesmathematical instanton bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Plane and space curves (14H50) Configurations and arrangements of linear subspaces (14N20)

Related Items

Classification of the invariants of foliations by curves of low degree on the three-dimensional projective space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)
• Stable reflexive sheaves
• Irreducibility of the space of mathematical instanton bundles with rank 2 and \(c_2=4\)
• Liaison des variétés algébriques. I
• 3-instantons and lattices of quadrics
• On a family of instanton bundles
• Mathematical instantons with maximal order jumping lines
• Stable rank 2 bundles on \(\mathbb P^3\) with \(c_1=0\), \(c_2=4\), and \(\alpha=1\)
• Une involution sur un espace de modules de fibrés instantons
• Deformations of Algebraic Schemes
• Deformation Theory
• On degrees and genera of curves on smooth quartic surfaces in P³
• Résolution des fibres instantons généraux
• Construction of low rank vector bundles on 𝐏⁴ and 𝐏⁵
• Globally Generated Vector Bundles with Small 𝑐_{\tiny}1 on Projective Spaces
• Cohomology of a general instanton bundle
• Rank two globally generated vector bundles with c_1 \leq 5