Can I read The Practice of Algebraic Curves: A Second Course in Algebraic Geometry on EtoBox?

The Practice of Algebraic Curves: A Second Course in Algebraic Geometry by David Eisenbud, Joe Harris; Jeremy Gray (Appendix) is a nonfiction available to read on EtoBox.

What is The Practice of Algebraic Curves: A Second Course in Algebraic Geometry about?

Main subject categories: • Algebraic curves • Algebraic geometry • History of algebraic geometryThis textbook provides readers with a working knowledge of the modern theory of complex projective algebraic curves. Also known as compact Riemann surfaces, such curves shaped the development of algebraic geometry itself, making this theory essential background for anyone working in or using this discipline. Examples underpin the presentation throughout, illustrating techniques that range across classical geometric theory, modern commutative algebra, and moduli theory.The book begins with two chapters covering basic ideas, including maps to projective space, invertible sheaves, and the Riemann–Roch theorem. Subsequent chapters alternate between a detailed study of curves up to genus six and more advanced topics such as Jacobians, Hilbert schemes, moduli spaces of curves, Severi varieties, dualizing sheaves, and linkage of curves in 3-space. Three chapters treat the refinements of the Brill–Noether theorem, including applications and a complete proof of the basic result. Two chapters on free resolutions, rational normal scrolls, and canonical curves build context for Green’s conjecture. T

Who reads The Practice of Algebraic Curves: A Second Course in Algebraic Geometry?

Author

David Eisenbud, Joe Harris; Jeremy Gray (Appendix)

Publisher

American Mathematical Society [AMS]

Published

2024

Language

EN

ISBN

9781470479442

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem