On the diagonals of a Rees algebra

The aim of this work is to study the ring-theoretic properties of the diagonals of a Rees algebra, which from a geometric point of view are the homogenous coordinate rings of embeddings of blow-ups of projective varieties along a subvariety. First we are going to introduce the subject and the main p...

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Detalles Bibliográficos
Autor: Lavila Vidal, Olga
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:1999
País:España
Institución:CBUC, CESCA
Repositorio:TDR. Tesis Doctorales en Red
OAI Identifier:oai:www.tdx.cat:10803/53578
Acceso en línea:http://hdl.handle.net/10803/53578
Access Level:acceso abierto
Palabra clave:Anells commutatius
Singularitats (Matemàtica)
Geometria algebraica
Categories (Matemàtica)
Anillos conmutativos
Commutative rings
Singularidades (Matemática)
Geometría algebraica
Algebraic geometry
Categorías (Matemáticas)
Categories (Mathematics)
Ciències Experimentals i Matemàtiques
512
Descripción
Sumario:The aim of this work is to study the ring-theoretic properties of the diagonals of a Rees algebra, which from a geometric point of view are the homogenous coordinate rings of embeddings of blow-ups of projective varieties along a subvariety. First we are going to introduce the subject and the main problems. After that we shall review the known results about these problems, and finally we will give a summary of the contents and results obtained in this work.