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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… Click to show full abstract
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.
Keywords:
hler;
vanishing first;
spaces vanishing;
problem hler;
hler spaces;
kodaira problem
Journal Title: Forum of Mathematics, Sigma
Year Published: 2021
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Journal Title: Forum of Mathematics, Sigma
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!