Introduction to the theory of quasi-log varieties

Mathematics – Algebraic Geometry

Scientific paper

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17 pages; comments welcome, v2: typos were corrected, v3: many errors were corrected, subsection 2.1 is new, v4: minor modific

Scientific paper

This paper is a gentle introduction to the theory of quasi-log varieties by
Ambro. We explain the fundamental theorems for the log minimal model program
for log canonical pairs. More precisely, we give a proof of the base point free
theorem for log canonical pairs in the framework of the theory of quasi-log
varieties.

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