Globally generated vector bundles on P3 and the unirationality of Mg, g≤13

DOI10.1080/00927872.2022.2082687zbMath1499.14069OpenAlexW4281789313MaRDI QIDQ5038103

Nicolae Manolache, Cristian Anghel, Iustin Coandă

Publication date: 29 September 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2082687

zbMATH Keywords

unirationalitymoduli spaces of curvesspace curvesvector bundles on projective spaces

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10)

Related Items (1)

Globally generated vector bundles with small c₁ on projective spaces, II

Uses Software

• KoszulDivisorOnPic14M8

Cites Work

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• The equation of a plane curve
• On the existence of certain families of curves
• Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)
• Existence of rank 3 vector bundles with given Chern classes on homogeneous rational 3-folds
• Stable reflexive sheaves
• Monads and moduli of vector bundles
• Rational parametrizations of moduli spaces of curves
• Stable Rank 2 Reflexive Sheaves on P 3 with Small c 2 and Applications
• The unirationality of the moduli spaces of curves of genus 14 or lower
• Globally Generated Vector Bundles with Small 𝑐_{\tiny}1 on Projective Spaces

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