6533b85afe1ef96bd12ba026
RESEARCH PRODUCT
A special Calabi–Yau degeneration with trivial monodromy
Sławomir CynkDuco Van Stratensubject
Pure mathematicsMathematics::Algebraic GeometryMonodromySimple (abstract algebra)Applied MathematicsGeneral MathematicsCalabi–Yau manifoldDegeneration (medical)Mathematics::Symplectic GeometryMathematicsdescription
A well-known theorem of Kulikov, Persson and Pinkham states that a degeneration of a family of K3-surfaces with trivial monodromy can be completed to a smooth family. We give a simple example that an analogous statement does not hold for Calabi–Yau threefolds.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-05-21 | Communications in Contemporary Mathematics |