A note on Kodaira vanishing on surfaces
We give a proof of the Kodaira vanishing theorem on smooth complex surfaces using geometric stability conditions. Likewise, we give a new proof of a result of Xie [Chinese Ann. Math. Ser. B 32 (2011), 741–748] characterizing the counterexamples of the Kodaira vanishing theorem on surfaces in positive characteristic.
Authors
- Cristian Martínez
Institutions
- Universidad de Los Andes (CO)
Publication Details
- Journal
- Proceedings of the American Mathematical Society
- Published
- 2025-12-03
- DOI
- https://doi.org/10.1090/proc/17453
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00