Mathematics – Complex Variables
Scientific paper
2009-10-14
Mathematics
Complex Variables
Scientific paper
Let $X$ be a complex quasiprojective variety. A result of Noguchi-Winkelmann-Yamanoi shows that if $X$ admits a Zariski dense entire curve, then its quasi-Albanese map is a fiber space. We show that the orbifold structure induced by a properly birationally equivalent map on the base is special in this case. As a consequence, if $X$ is of log-general type with $\bar q(X)\geq\dim X$, then any entire curve is contained in a proper subvariety in $X$.
Lu Steven Shin-Yi
Winkelmann Jorg
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