Cycles proches, spécialisation et ${\cal D}$-modules
نویسندگان
چکیده
منابع مشابه
Spécialisation et sous-typage : thème et variations
Class specialization is the most original feature of object orientation, but identifying it to subtyping leads to the well known covariance-contravariance controversy. Type safety requires contravariance while specialization needs covariance. This paper aims to precisely analyse this problem, to show how irreductible it is and the need for type errors. We show that many alternatives as multiple...
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Let p be a prime number, V a complete discrete valuation ring of unequal caracteristics (0, p), G a smooth affine algebraic group over Spec V . Using partial divided powers techniques of Berthelot, we construct arithmetic distribution algebras, with level m, generalizing the classical construction of the distribution algebra. We also construct the weak completion of the classical distribution a...
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2 D-module fundamentals 4 2.1 DX and DX -modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Inverse images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Direct images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Tensor products . . . . . . . . . . . . . . . . . . . . . . . . ....
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We derive simple explicit formulas for the character of a cycle in the Connes’ (b, B)-bicomplex of cyclic cohomology and give applications to the Fredholm modules and equivariant characteristic classes.
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We study interactions between the categories of D-modules on smooth and singular varieties. For a large class of singular varieties Y , we use an extension of the Grothendieck–Sato formula to show that DY -modules are equivalent to stratifications on Y , and as a consequence are unaffected by a class of homeomorphisms, the cuspidal quotients. In particular, when Y has a smooth bijective normali...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1995
ISSN: 0373-0956
DOI: 10.5802/aif.1499