EXTENSIONS OF VECTOR BUNDLES WITH APPLICATION TO NOETHER–LEFSCHETZ THEOREMS

DOI10.1142/S021919971350003XzbMath1308.14010MaRDI QIDQ2859241

Amit Tripathi, Girivaru V. Ravindra

Publication date: 7 November 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

vector bundlesalgebraic varietiesNoether-Lefschetz theoremextensions of bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Picard groups (14C22) Infinitesimal methods in algebraic geometry (14B10)

Related Items (5)

Remarks on higher-rank ACM bundles on hypersurfaces ⋮ Grothendieck-Lefschetz theorem with base locus ⋮ On the base case of a conjecture on ACM bundles over hypersurfaces ⋮ Grothendieck-Lefschetz and Noether-Lefschetz for bundles ⋮ Rank 3 ACM bundles on general hypersurfaces in \(\mathbb{P}^5\)

Cites Work

• Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes
• A new proof of the explicit Noether-Lefschetz theorem
• Vector bundles on ample divisors
• A decomposability criterion for algebraic 2-bundles on projective spaces
• Une précision concernant le théorème de Noether. (A precision concerning the theorem of Noether)
• Composantes de petite codimension du lieu de Noether-Lefschetz. (Small codimension components of the Noether-Lefschetz locus)
• The Noether-Lefschetz theorem for the divisor class group
• The Grothendieck-Lefschetz theorem for normal projective varieties
• Deformation Theory

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