Commutative algebra and algebraic geometry
Literature
Most of the course shall be based on the classic textbooks by Kunz
(originally published in 1985 as
Einführung in die kommutative Algebra und algebraische Geometrie)
and by Atiyah-MacDonald.
We hope to cover some more advanced topics from Liu's book.
Books
- Atiyah, M. F and MacDonald I. G., Introduction to Commutative Algebra, Addison-Wesley, 1994
- Kunz, E., Introduction to Commutative Algebra and Algebraic Geometry, Birkhäuser Basel, 2006.
- Liu, Q., Algebraic Geometry and Arithmetic Curves, Oxford Graduate Texts in Mathematics, 2013.
- Silverman J., The Arithmetic of Elliptic Curves, GTM 106, Springer-Verlag, 2009
Papers
- Zagier, D.,Modular points, modular curves, modular surfaces and modular forms, Arbeitstagung Bonn, 1984.