Birational Geometry and Minimal Models
Mori's program, flips, and the minimal model conjecture.
Birational Geometry and Minimal Models. Mori’s program, flips, and the minimal model conjecture.
Foundations and canonical references
The standard treatments of birational geometry and minimal models approach the subject from complementary angles. Kollar, Birational Geometry of Algebraic Varieties (1998) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for birational geometry and minimal models include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1998Birational Geometry of Algebraic Varietieskollar-1998, mori-1998
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