When is the self-intersection of a subvariety a fibration?

DOI10.1016/j.aim.2012.05.014zbMath1250.14006arXiv1007.1671OpenAlexW2963785269MaRDI QIDQ452047

Andrei Căldăraru, Dima Arinkin

Publication date: 19 September 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1671

zbMATH Keywords

derived algebraic geometryderived intersection theoryHKR isomorphism

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Schemes and morphisms (14A15)

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Cites Work

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• Homotopical algebraic geometry. I: Topos theory
• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes
• On the Rozansky-Witten weight systems
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Introduction to sh Lie algebras for physicists
• D-branes, \(B\) fields, and ext groups
• Hochschild cohomology of quasiprojective schemes
• The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah-Chern character
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Rational homotopy theory
• Complexe cotangent et déformations. II
• Derived quot schemes
• The Hochschild–Kostant–Rosenberg Isomorphism for Quantized Analytic Cycles
• Rozansky-Witten invariants via Atiyah classes
• Derived Hilbert schemes
• The Continuous Hochschild Cochain Complex of a Scheme

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