Effective Matsusaka's theorem for surfaces in characteristic p

Effective Matsusaka's theorem for surfaces in characteristic p

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Gabriele di Cerbo , Columbia University
Fine Hall 322

The goal of this talk is to explain how to obtain an effective version of Matsusaka's theorem for arbitrary smooth algebraic surfaces in positive characteristic. It provides an effective bound on the multiple which makes an ample line bundle very ample. The proof is based on a Reider-type analysis of adjoint linear series combined with bend and break techniques