Under the semiample canonical bundle assumption, smooth Kähler families over the polydisc with biholomorphic fibers outside a proper analytic subset have all fibers biholomorphic to the fixed one, implying birational isotriviality equals isotriviality.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Deformation rigidity for projective manifolds and isotriviality of smooth families
Under the semiample canonical bundle assumption, smooth Kähler families over the polydisc with biholomorphic fibers outside a proper analytic subset have all fibers biholomorphic to the fixed one, implying birational isotriviality equals isotriviality.