- Abstract:
-
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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
-
(pdf, 492.5kb)
-
- Publisher copy:
- 10.1112/S0010437X15007332
-
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- Funding agency for:
- Szendroi, B
- Publisher:
- London Mathematical Society Publisher's website
- Journal:
- Compositio Mathematica Journal website
- Volume:
- 151
- Issue:
- 10
- Pages:
- 1913-1944
- Publication date:
- 2015
- DOI:
- EISSN:
-
1570-5846
- ISSN:
-
0010-437X
- URN:
-
uuid:41d57bc1-7a36-4d53-ac8b-3e3d6fde6ad2
- Source identifiers:
-
517587
- Local pid:
- pubs:517587
- Copyright holder:
- Davison et al.
- Copyright date:
- 2015
Journal article
Purity for graded potentials and quantum cluster positivity
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