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arXiv · 2301.05194

Albanese morphism of log smooth klt compact K\"ahler manifold with nef log anticanonical divisor

Xiaojun Wu
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Abstract

Let $(X, \omega)$ be an n-dimensional compact K\"ahler manifold. Let $D=\sum (1-\beta_j) Y_j=\sum (1-\beta_j) [s_j=0]$ a divisor with simple normal crossings with $\beta_j \in ]0,1[$ such that $-(K_X+D)$ is nef. We show that its Albanese map is submersion outside an analytic set of codimension larger than two with connected fibres.

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Xiaojun Wu. 2023-01-12. Albanese morphism of log smooth klt compact K\"ahler manifold with nef log anticanonical divisor. https://arxiv.org/abs/2301.05194

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