Bivariance, Grothendieck duality and Hochschild homology, II: The fundamental class of a flat scheme-map
نویسندگان
چکیده
منابع مشابه
Residues, Duality, and the Fundamental Class of a Scheme-map
The duality theory of coherent sheaves on algebraic varieties goes back to Roch’s half of the Riemann-Roch theorem for Riemann surfaces (1870s). In the 1950s, it grew into Serre duality on normal projective varieties; and shortly thereafter, into Grothendieck duality for arbitrary varieties and more generally, maps of noetherian schemes. This theory has found many applications in geometry and c...
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15 صفحه اولDeformation Quantization Modules Ii. Hochschild Class
This paper is the continuation of [12]. We construct the Hochschild class for coherent modules over a deformation quantization algebroid on a complex Poisson manifold. We also define the convolution of Hochschild homologies, and prove that the Hochschild class of the convolution of two coherent modules is the convolution of their Hochschild classes. We study with some details the case of symple...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2014
ISSN: 0001-8708
DOI: 10.1016/j.aim.2014.02.017