David Eisenbud Bücher

Are humans inherently good? Where does compassion come from? Is death essential for life? The surprising confluence of Buddhist thought and cutting- edge biology.

Focusing on the interplay between algebraic geometry and syzygies, this textbook provides a foundational exploration of concrete examples and techniques. It covers various geometric applications, including interpolation and canonical curves, making it suitable for graduate courses and self-study. The appendices enhance understanding by summarizing key concepts in local cohomology and commutative algebra, linking diverse topics and results. This comprehensive approach makes the abstract nature of algebraic geometry more accessible to those with a basic background in the field.

Focusing on advanced concepts in algebraic geometry, this book serves as a comprehensive resource for a second course in the subject. It emphasizes key ideas and principles, providing numerous examples to enhance understanding and application. The clear explanations aim to deepen the reader's grasp of the material, making it suitable for those looking to expand their knowledge in this mathematical field.

This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.

This volume contains papers presented at the International Conference on Commutative Algebra, Algebraic geometry, and Computational methods held in Hanoi in 1996, as well as papers written subsequently. It features both expository articles as well as research papers on a range of currently active areas in commutative algebra, algebraic geometry (particularly surveys on intersection theory) and combinatorics. In addition, a special feature is a section on the life and work of Wolfgang Vogel, who was an organiser of the conference.