Grivaux, Julien The Hochschild-Kostant-Rosenberg isomorphism for quantized analytic cycles. (English) Zbl
Int. Math. Res. Not. 2014, No. 4, Summary: In this article, we provide a detailed a

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• Abstract algebra
• Algebra
• Mathematics
• Algebraic topology
• Guggenheim Fellows
• Sheaf
• Homological algebra
• Vector bundle
• Fiz
• Morphism
• Bertram Kostant
• Algebraic geometry

Grivaux, Julien  Chern classes in Deligne cohomology for coherent analytic sheaves. (English) Zbl
Math. Ann. 347, No. 2, Let X be a smooth complex compact manifold. For locally free sheaves

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Bernhard Riemann
• Vector bundles
• Sheaf theory
• Characteristic classes
• GrothendieckRiemannRoch theorem
• K-theory
• Chern class
• Coherent sheaf

Grivaux, Julien On a conjucture of Kashiwara relating Chern and Euler classes of O-modules. (English) Zbl
J. Differ. Geom. 90, No. 2, Characteristic classes in Hochschild homology are well

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Sheaf theory
• Characteristic classes
• Complex manifolds
• Vector bundles
• Coherent sheaf
• Cohomology
• Todd class
• Sheaf

Grivaux, Julien  Infinitesimal deformations of rational surface automorphisms. (English) Zbl
Math. Z. 288, No. 3-4, ). The basic problem of deformation theory in algebraic geometry involves wa

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• Abstract algebra
• Algebra
• Birational geometry
• Algebraic surfaces
• Moduli theory
• Differential geometers
• Zbl
• Deformation theory
• Moduli of algebraic curves
• Cremona group
• Masatake Kuranishi
• EnriquesKodaira classification

Deserti, Julie; Grivaux, Julien  Automorphisms of rational surfaces with positive entropy. (English) Zbl
Indiana Univ. Math. J. 60, No. 5, ). The authors identify a systematic means of const

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• Algebra
• Geometry
• Abstract algebra
• Birational geometry
• Group theory
• Algebraic surfaces
• Automorphism
• Cremona group
• Rational surface

Grivaux, Julien  Tian’s invariant of the Grassmann manifold. (English) Zbl
J. Geom. Anal. 16, No. 3, For a compact Kählerian manifold M , Tian’s invariant α(M ) is connected to the ex

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• Geometry
• Differential geometry
• Theoretical physics
• Riemannian manifolds
• Complex manifolds
• Riemannian geometry
• Symplectic geometry
• Khler manifold
• Einstein manifold
• KhlerEinstein metric
• Ricci curvature
• Zbl

Grivaux, Julien  Variation of the holomorphic determinant bundle. (English) Zbl
Math. Res. Lett. 20, No. 6, ). Let f : X → Y be a proper holomorphic submersion between complex manifolds an

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Grivaux, Julien Topological properties of Hilbert schemes of almost-complex fourfolds. I. (English) Zbl
Manuscr. Math. 136, No. 1-2, Given a smooth irreducible complex projective surface X,

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• Abstract algebra
• Algebra
• Mathematics
• Algebraic geometry
• Homological algebra
• Differential geometry
• Cohomology theories
• Projective variety
• Hilbert scheme
• Perverse sheaf
• Manifold
• tale cohomology

Grivaux, Julien Topological properties of Hilbert schemes of almost-complex four-manifolds. II. (English) Zbl
Geom. Topol. 15, No. 1, In the paper under review, the author studies the ratio

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• Geometry
• Abstract algebra
• Algebra
• Algebraic geometry
• Differential topology
• Algebraic topology
• Complex manifolds
• Moduli theory
• Cobordism
• Hilbert scheme
• Projective variety
• Chern class

Grivaux, Julien Parabolic automorphisms of projective surfaces (after M. H. Gizatullin). (English) Zbl
Mosc. Math. J. 16, No. 2, Summary: In [Izv. Akad. Nauk SSSR, Ser. Mat. 44, 110–144 (

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