Introduction to Singularities

• Main Author: Ishii, Shihoko (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Tokyo : Springer Japan : Imprint: Springer, 2018.
• Edition: 2nd ed. 2018.
• Subjects: Algebraic geometry.; Associative rings.; Rings (Algebra).; Commutative algebra.; Commutative rings.; Algebraic Geometry.; Associative Rings and Algebras.; Commutative Rings and Algebras.

This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous workDiscours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book...

Table of Contents:

• 1. Sheaves, algebraic varieties and analytic spaces
• 2. Homological algebra and duality
• 3. Singularities, algebraization and resolutions of singularities
• 4. Divisors on a variety and the corresponding sheaves
• 5. Differential forms around the singularities
• 6. Two dimensional singularities
• 7. Higher dimensional singularities
• 8. Deformations of singularities.