Minimal Free Resolutions over Complete Intersections

• Main Authors: Eisenbud, David (Author), Peeva, Irena (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Lecture Notes in Mathematics, 2152
• Subjects: Mathematics.; Algebraic geometry.; Category theory (Mathematics).; Homological algebra.; Commutative algebra.; Commutative rings.; Physics.; Commutative Rings and Algebras.; Algebraic Geometry.; Category Theory, Homological Algebra.; Theoretical, Mathematical and Computational Physics.

This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of...