Chapter 1 briefly describes the motivation for the thesis and presents some background material. Chapter 2 develops the foundations of the theory of unprojection in the local and projective settings. Chapter 3 develops methods that calculate the unprojection ring for two important families of unprojection, Tom & Jerry. Finally, Chapter 4 proves some algebraic results concerning Catanese’s rank condition for symmetric matrices of small size
We study criteria for a ring—or more generally, for a small category—to be Gorenstein and for a modu...
In a Gorenstein local ring R, two ideals A and B are said to be linked by an ideal I if the two rela...
This thesis consists of four research articles that treat different aspects of Kummer theory for com...
Kustin--Miller unprojection constructs more complicated Gorenstein rings from simpler ones. Geometr...
Gorenstein projection plays a key role in birational geometry; the typical example is the linear pro...
The main goal of this thesis is the description of the section ring of a surface R(S,L) = O∞n=0 H0(S...
It was recently proved that if R is a coherent ring such that R is also left n-perfect, then the cla...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We compute Verlinde rings of the groups SU(3) semidirect product Z/2Z and Spin(8) semdirect product...
This thesis concerns the study of two flavours of duality that appear in stable homotopy theory and ...
A main ingredient for the Kustin-Miller unprojection is the module Hom(R)(I, omega(R)), where R is a...
dissertationIn this dissertation, we will explore the Gromov-Witten theory of fibrations, especially...
Geometrically, the main goal of this thesis is to refine the classification of minimal surfaces S wi...
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0...
We study the tensor product of an induced module and Weyl module, for the special linear group of or...
We study criteria for a ring—or more generally, for a small category—to be Gorenstein and for a modu...
In a Gorenstein local ring R, two ideals A and B are said to be linked by an ideal I if the two rela...
This thesis consists of four research articles that treat different aspects of Kummer theory for com...
Kustin--Miller unprojection constructs more complicated Gorenstein rings from simpler ones. Geometr...
Gorenstein projection plays a key role in birational geometry; the typical example is the linear pro...
The main goal of this thesis is the description of the section ring of a surface R(S,L) = O∞n=0 H0(S...
It was recently proved that if R is a coherent ring such that R is also left n-perfect, then the cla...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We compute Verlinde rings of the groups SU(3) semidirect product Z/2Z and Spin(8) semdirect product...
This thesis concerns the study of two flavours of duality that appear in stable homotopy theory and ...
A main ingredient for the Kustin-Miller unprojection is the module Hom(R)(I, omega(R)), where R is a...
dissertationIn this dissertation, we will explore the Gromov-Witten theory of fibrations, especially...
Geometrically, the main goal of this thesis is to refine the classification of minimal surfaces S wi...
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0...
We study the tensor product of an induced module and Weyl module, for the special linear group of or...
We study criteria for a ring—or more generally, for a small category—to be Gorenstein and for a modu...
In a Gorenstein local ring R, two ideals A and B are said to be linked by an ideal I if the two rela...
This thesis consists of four research articles that treat different aspects of Kummer theory for com...