The classification of complex algebraic surfaces

Ciro Ciliberto

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arXiv · 1905.07756

The classification of complex algebraic surfaces

Ciro Ciliberto

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Abstract

This text grew up from the notes of a graduate course I gave at the University of Roma ``Tor Vergata'' in the academic year 2018--19. The subject is the classification of complex algebraic surfaces following Mori's theory. It includes the $P_{12}$--Theorem, Sarkisov's programme in the surface case and Noether--Castelnuovo's Theorem in its classical version.

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Ciro Ciliberto. 2019-05-19. The classification of complex algebraic surfaces. https://arxiv.org/abs/1905.07756

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