Journal article
Elliptic singularities on log symplectic manifolds and Feigin-Odesskii Poisson brackets
- Abstract:
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A log symplectic manifold is a complex manifold equipped with a complex symplectic form that has simple poles on a hypersurface. The possible singularities of such a hypersurface are heavily constrained. We introduce the notion of an elliptic point of a log symplectic structure, which is a singular point at which a natural transversality condition involving the modular vector field is satisfied, and we prove a local normal form for such points that involves the simple elliptic surface singula...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 444.0KB)
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- Publisher copy:
- 10.1112/S0010437X16008174
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Authors
Funding
Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Compositio Mathematica Journal website
- Volume:
- 153
- Issue:
- 4
- Pages:
- 717-744
- Publication date:
- 2017-03-13
- Acceptance date:
- 2016-07-18
- DOI:
- EISSN:
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1570-5846
- ISSN:
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0010-437X
- Source identifiers:
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635110
Item Description
- Pubs id:
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pubs:635110
- UUID:
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uuid:a457621f-f733-41b0-99c7-fa475b8e807e
- Local pid:
- pubs:635110
- Deposit date:
- 2016-07-23
Terms of use
- Copyright holder:
- Pym, B
- Copyright date:
- 2017
- Notes:
- © The Author(s) 2017. This journal is © Foundation Compositio Mathematica 2016. This is the accepted manuscript version of the article. The final version is available online from CUP at: [10.1112/S0010437X16008174]
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