In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series. Furthermore, using this method, the author gets ide…
In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series. Furthermore, using this method, the author gets ide…
In this article the authors develop a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, they give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable max…
Cover -- Title page -- Introduction, motivation and historical remarks -- Chapter 1. Generalities on maximal Cohen-Macaulay modules -- 1.1. Maximal Cohen-Macaulay modules over surface singularities -- 1.2. On the category \CM^{ }(\rA) -- Chapter 2. Category of triples in dimensi…
In this article the authors develop a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, they give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable max…
Chapter 1. The Krull-Remak-Schmidt theorem -- Chapter 2. Semigroups of modules -- Chapter 3. Dimension zero -- Chapter 5. Invariant theory -- Chapter 6. Kleinian singularities and finite CM type -- Chapter 7. Isolated singularities and dimension two -- Chapter 8. The double bran…
This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras. Two introductory chapters treat…
"This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras. Two introductory chapters trea…
