Journal article
Purity for graded potentials and quantum cluster positivity
- Abstract:
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Consider a smooth quasiprojective variety X equipped with a C*-action, and a regular function f : X → C which is C*-equivariant with respect to a positive weight action on the base. We prove the purity of the mixed Hodge structure and the hard Lefschetz theorem on the cohomology of the vanishing cycle complex of f on proper components of the critical locus of f, generalizing a result of Steenbrink for isolated quasi-homogeneous singularities. Building on wor...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 492.5KB)
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- Publisher copy:
- 10.1112/S0010437X15007332
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Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Szendroi, B
Grant:
EP/I033343/1
Bibliographic Details
- Publisher:
- London Mathematical Society Publisher's website
- Journal:
- Compositio Mathematica Journal website
- Volume:
- 151
- Issue:
- 10
- Pages:
- 1913-1944
- Publication date:
- 2015-01-01
- DOI:
- EISSN:
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1570-5846
- ISSN:
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0010-437X
- Source identifiers:
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517587
Item Description
- Keywords:
- Pubs id:
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pubs:517587
- UUID:
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uuid:41d57bc1-7a36-4d53-ac8b-3e3d6fde6ad2
- Local pid:
- pubs:517587
- Deposit date:
- 2015-04-28
Terms of use
- Copyright holder:
- Davison et al
- Copyright date:
- 2015
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