- Abstract:
-
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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 444.0kb)
-
- Publisher copy:
- 10.1112/S0010437X16008174
-
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- 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:
-
1570-5846
- ISSN:
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0010-437X
- URN:
-
uuid:a457621f-f733-41b0-99c7-fa475b8e807e
- Source identifiers:
-
635110
- Local pid:
- pubs:635110
- Paper number:
- 4
- Copyright holder:
- B Pym
- 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]
Journal article
Elliptic singularities on log symplectic manifolds and Feigin-Odesskii Poisson brackets
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