Computes Dolbeault cohomology of Endo-Pajitnov manifolds and verifies Hodge decomposition at the level of dimensions.
ahler Geometry , Birkh\
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
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Compact LCK n-manifolds with algebraic dimension n-1 are bimeromorphic to isotrivial elliptic fibrations, and an alteration of M dominates bimeromorphically a manifold with free elliptic curve action.
Quasi-diagonals in E² are at most countable; an irreducible subvariety Z in a Bogomolov-Guan manifold X is Moishezon iff π(Z) is a point or a quasi-diagonal curve, implying that projective subvarieties of a general such X lie in fibers of the Lagrangian fibration π.
Establishes GAGA for varieties with contractions, a quotient structure for Hopf subvarieties, and filtrability of reflexive coherent sheaves on them.
citing papers explorer
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Dolbeault cohomology of Endo-Pajitnov manifolds
Computes Dolbeault cohomology of Endo-Pajitnov manifolds and verifies Hodge decomposition at the level of dimensions.
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Locally Conformally K\"ahler Manifolds of Algebraic Codimension One
Compact LCK n-manifolds with algebraic dimension n-1 are bimeromorphic to isotrivial elliptic fibrations, and an alteration of M dominates bimeromorphically a manifold with free elliptic curve action.
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Projective subvarieties of Bogomolov-Guan manifolds and quasi-diagonals in products of elliptic curves
Quasi-diagonals in E² are at most countable; an irreducible subvariety Z in a Bogomolov-Guan manifold X is Moishezon iff π(Z) is a point or a quasi-diagonal curve, implying that projective subvarieties of a general such X lie in fibers of the Lagrangian fibration π.
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Coherent sheaves on subvarieties in Hopf manifolds
Establishes GAGA for varieties with contractions, a quotient structure for Hopf subvarieties, and filtrability of reflexive coherent sheaves on them.