M. Morariu

The Smooth Narrow Mordell-Weil Group of Elliptically Fibered 4-Manifolds

For an elliptically fibered 4-manifold $\pi\colon M\to B$, we introduce a subgroup of the smooth mapping class group of $M$ with explicit geometric representatives: the smooth narrow Mordell-Weil group $MW_0(\pi)$. Leveraging Kodaira's classification of singular fibers, we construct a natural isomorphism between $MW_0(...