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Decomposition facto...
Decomposition factors of D-modules on hyperplane configurations in general position
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- Abebaw, Tilahun (författare)
- Stockholms universitet,Matematiska institutionen,Addis Ababa University, Ethiopia
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- Bøgvad, Rikard (författare)
- Stockholms universitet,Matematiska institutionen
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(creator_code:org_t)
- 2012
- 2012
- Engelska.
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Ingår i: Proceedings of the American Mathematical Society. - 0002-9939 .- 1088-6826. ; 140:8, s. 2699-2711
- Relaterad länk:
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https://doi.org/10.1...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Let alpha(1), ... , alpha(m) be linear functions on C-n and X = C-n \ V(alpha), where alpha = Pi(m)(i=1) alpha(i) and V(alpha) = {p is an element of C-n : alpha(p) = 0}. The coordinate ring O-X = C[x](alpha) of X is a holonomic A(n)-module, where A(n) is the n-th Weyl algebra, and since holonomic A(n)-modules have finite length, O-X has finite length. We consider a twisted variant of this A(n)-module which is also holonomic. Define M-alpha(beta) to be the free rank 1 C[x](alpha)-module on the generator alpha(beta) (thought of as a multivalued function), where alpha(beta) = alpha(beta 1)(1) ... alpha(beta m)(m) and the multi-index beta = (beta(1), ... , beta(m)) is an element of C-m. It is straightforward to describe the decomposition factors of M-alpha(beta), when the linear functions alpha(1), ... , alpha(m) define a normal crossing hyperplane configuration, and we use this to give a sufficient criterion on beta for the irreducibility of M-alpha(beta), in terms of numerical data for a resolution of the singularities of V(alpha).
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Nyckelord
- Hyperplane arrangements
- D-module theory
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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