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Effective global generation on varieties with numerically trivial canonical class. (arXiv:1810.07079v1 [math.AG])

来源于:arXiv
We prove a Fujita-type theorem for varieties with numerically trivial canonical bundle. We deduce our result via a combination of algebraic and analytic methods, including the Kobayashi-Hitchin correspondence and positivity of direct image bundles. As an application, we combine our results with recent work of U. Riess on generalized Kummer varieties to obtain effective global generation statements for Hilbert schemes of points on abelian surfaces. 查看全文>>