Ulrich bundles and varieties of wild representation type

The subject of this thesis lies at the junction of mainly three topics: construction of large families of Arithmetically Cohen-Macaulay indecomposable vector bundles on a given projective variety X, the shape (i.e, the graded Betti numbers) of the minimal free resolution of a general set of points o...

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Bibliographic Details
Author: Pons Llopis, Joan
Format: doctoral thesis
Status:Published version
Publication Date:2011
Country:España
Institution:CBUC, CESCA
Repository:TDR. Tesis Doctorales en Red
OAI Identifier:oai:www.tdx.cat:10803/565411
Online Access:http://hdl.handle.net/10803/565411
Access Level:Open access
Keyword:Mòduls de Cohen-Macaulay
Módulos de Cohen-Macaulay
Cohen-Macaulay modules
Esquemes de Hilbert
Esquemas de Hilbert
Hilbert schemes
Invariants
Invariantes
Ciències Experimentals i Matemàtiques
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Description
Summary:The subject of this thesis lies at the junction of mainly three topics: construction of large families of Arithmetically Cohen-Macaulay indecomposable vector bundles on a given projective variety X, the shape (i.e, the graded Betti numbers) of the minimal free resolution of a general set of points onX and the (ir)reducibility of the Hilbert scheme Hilbs(X) of zero-dimensional subschemes Z (belongs) X of length s. (Fore more details see the Full Summary enclosed as a complementary file)