2024-03-28T12:11:13Zhttps://www.tdx.cat/oai/requestoai:www.tdx.cat:10803/535782022-12-18T16:14:07Zcom_10803_1col_10803_2
TDX (Tesis Doctorals en Xarxa)
author
Lavila Vidal, Olga
authoremail
lavila@ub.edu
authoremailshow
false
director
Zarzuela, Santiago
authorsendemail
true
2012-01-26T10:44:15Z
2012-01-26T10:44:15Z
1999-01-01
http://hdl.handle.net/10803/53578
B. 5074-2012
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.
L’objectiu d’aquesta memòria és l’estudi de les propietats aritmètiques de les diagonals d’una àlgebra de Rees o, des d’un punt de vista geomètric, dels anells de coordenades homogenis d’immersions d’explosions de varietats projectives al llarg d’una subvarietat. En primer lloc, anem a introduir el tema i els principals problemes que tractarem. A continuació, exposarem els resultats coneguts sobre aquests problemes i finalment farem un resum dels resultats obtinguts en aquesta memòria.
eng
Anells commutatius
Singularitats (Matemàtica)
Geometria algebraica
Categories (Matemàtica)
Anillos conmutativos
Commutative rings
Singularidades (Matemática)
Geometría algebraica
Algebraic geometry
Categorías (Matemáticas)
Categories (Mathematics)
On the diagonals of a Rees algebra
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