منابع مشابه
Binomial D-modules
We study quotients of the Weyl algebra by left ideals whose generators consist of an arbitrary Z-graded binomial ideal I in C[∂1, . . . , ∂n] along with Euler operators defined by the grading and a parameter β ∈ C. We determine the parameters β for which these D-modules (i) are holonomic (equivalently, regular holonomic, when I is standard-graded); (ii) decompose as direct sums indexed by the p...
متن کاملD - modules
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 . . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملCusps and D-modules
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...
متن کاملModular Invariant D - Modules
We studyD-modules over the modular curve of level 1 defined as an orbifold, and show that if such D-modules are of rank 1, these monodromy representations map the S-action to the identity. This means that in the orbifold case, there are linear representations of the fundamental groups which do not come from D-modules.
متن کاملWild Twistor D-modules
We propose a definition of (polarized) wild twistor D-modules, generalizing to objects with irregular singularities that of (polarized) regular twistor D-modules. We give a precise analysis in dimension one.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2010
ISSN: 0012-7094
DOI: 10.1215/00127094-2010-002