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math.AG2021★ 3 cited
Shafarevich-Tate groups of holomorphic Lagrangian fibrations
Anna Abasheva, Vasily Rogov
Consider a Lagrangian fibration on a hyperkähler manifold . There are two ways to construct a holomorphic family of deformations of over $\mathbb…
math.AG2021★ 2 cited
Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds
Anna Abasheva, Misha Verbitsky
A nilmanifold is a (left) quotient of a nilpotent Lie group by a cocompact lattice. A hypercomplex structure on a manifold is a triple of complex structure operators satisfying the…