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- Title
The Kodaira Problem for Kähler Spaces with Vanishing First Chern Class.
- Authors
Graf, Patrick; Schwald, Martin
- Abstract
Let X be a normal compact Kähler space with klt singularities and torsion canonical bundle. We show that X admits arbitrarily small deformations that are projective varieties if its locally trivial deformation space is smooth. We then prove that this unobstructedness assumption holds in at least three cases: if X has toroidal singularities, if X has finite quotient singularities and if the cohomology group ${\mathrm {H}^{2} \!\left (X, {\mathscr {T}_{X}} \right)}$ vanishes.
- Subjects
CHERN classes; COMPACT spaces (Topology)
- Publication
Forum of Mathematics, Sigma, 2021, Vol 9, p1
- ISSN
2050-5094
- Publication type
Article
- DOI
10.1017/fms.2021.18