Title
The CohenMacaulay and Gorenstein Rees Algebras Associated to Filtrations (Memoirs of the American Mathematical Society),Used
Delivery time: 8-12 business days (International)
This monograph consists of two parts. Part I investigates the CohenMacaulay and Gorenstein properties of symbolic Rees algebras for onedimensional prime ideals in CohenMacaulay local rings. Practical criteria for these algebras to be CohenMacaulay and Gorenstein rings are described in terms of certain elements in the prime ideals. This framework is generalized in Part II to Rees algebras $R(F)$ and graded rings $G(F)$ associated to general filtrations of ideals in arbitrary Noetherian local rings. Goto and Nishida give certain cohomological characterizations for algebras $R(F)$ to be CohenMacaulay or Gorenstein rings in connection with the corresponding ringtheoretic properties of $G(F)$. In this way, readers follow a history of the development of the ring theory of Rees algebras. The book raises many important open questions.
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