A universal affine bundle over compact complex manifolds with invariant measures provides canonical potentials for dd^c-closed (1,1)-forms and reduces torsor-lifting obstructions to compact subtori.
--- Cohomological aspects in complex non- K \" a hler geometry , vol
3 Pith papers cite this work, alongside 38 external citations. Polarity classification is still indexing.
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Introduces the inflation functor from cochain complexes to bicomplexes as part of a Quillen adjunction in pluripotential homological algebra, enabling an infinity-category of bicomplexes.
Proves C^{1,1} regularity for a degenerate fully nonlinear equation on Hermitian manifolds with balanced metrics, yielding unique C^{1,1} solutions to the Donaldson equation.
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Universal affine bundles for compact complex manifolds
A universal affine bundle over compact complex manifolds with invariant measures provides canonical potentials for dd^c-closed (1,1)-forms and reduces torsor-lifting obstructions to compact subtori.
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The inflation functor in pluripotential homological algebra
Introduces the inflation functor from cochain complexes to bicomplexes as part of a Quillen adjunction in pluripotential homological algebra, enabling an infinity-category of bicomplexes.
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Regularity of a Geodesic equation in the space of mixed Volume Forms on Hermitian Manifolds
Proves C^{1,1} regularity for a degenerate fully nonlinear equation on Hermitian manifolds with balanced metrics, yielding unique C^{1,1} solutions to the Donaldson equation.