Morphisms from smooth projective varieties to P^1 can have singular fibers that are topologically invisible, yielding counterexamples to the Fernandez de Bobadilla-Kollar, Kollar-Pardon, Kotschick, and Schreieder conjectures.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Invisible singularities in complex algebraic geometry
Morphisms from smooth projective varieties to P^1 can have singular fibers that are topologically invisible, yielding counterexamples to the Fernandez de Bobadilla-Kollar, Kollar-Pardon, Kotschick, and Schreieder conjectures.