From the 1 of 3 linked papers with an AI index.
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Meromorphic Group Actions and the Support Theorem for Lagrangian Fibrations
Mark Andrea de Cataldo, Yoon-Joo Kim, Christian Schnell
The paper develops meromorphic group actions on holomorphic symplectic Kähler spaces and uses them, together with Hodge‑theoretic tools, to establish a version of Ngô’s support the…
Hodge theory and Lagrangian fibrations on holomorphic symplectic manifolds
Christian Schnell
The purpose of this paper is to establish several new results about the Hodge theory of Lagrangian fibrations on (not necessarily compact) holomorphic symplectic manifolds. Let …
A log resolution for the theta divisor of a hyperelliptic curve
Christian Schnell, Ruijie Yang
In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill-Noeth…
On the behavior of Kodaira dimension under smooth morphisms
Mihnea Popa, Christian Schnell
We prove several results on the additivity of Kodaira dimension under smooth morphisms of smooth projective varieties.