On a conjecture of Matsushita
Abstract
We prove a weak version of a conjecture of Matsushita saying that for a Lagrangian fibration on a hyper-Kaehler manifold X, the moduli map for the fibers is either generically of maximal rank or constant. Assuming the base is smooth and b2(X)-(X)≥5, we prove the conjecture for a very general deformation of X with constant N\'eron-Severi group.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.