EisatoponAI: Clay Mathematics Proceedings | The Resolution of Singular Algebraic Varieties

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1. Lecture I: A First Example of Resolution

2. Lecture II: Varieties and Schemes

3. Lecture III: Singularities

4. Lecture IV: Blowups

5. Lecture V: Properties of Blowup

6. Lecture VI: Transforms of Ideals and Varieties under Blowup

7. Lecture VII: Resolution Statements

8. Lecture VIII: Invariants of Singularities

9. Lecture IX: Hypersurfaces of Maximal Contact

10. Lecture X: Coefficient Ideals

11. Lecture XI: Resolution in Zero Characteristic

12. Lecture XII: Positive Characteristic Phenomena

13. Discussion of selected examples

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