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Showing 1 to 20 of 22 for “"Settore MAT/03 - Geometria"”.
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Quaternionic slice regular functions on domains without real points
In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've studied some rigidity properties, some differential issues and an application in complex differential geometry. This application concerns the constructions and classifications of orthogonal complex …
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On Semi-isogenous Mixed Surfaces
Let C be a compact Riemann surface. Let us consider a finite group acting on CxC, having some elements that exchange the factors, and assume that the subgroup of those elements that do not exchange the factors acts freely. We call the quotient a Semi-isogenous Mixed Surface. In this work we …
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CALABI-YAU MANIFOLDS OF TYPE A AND THE CONE CONJECTURE FOR HYPERELLIPTIC VARIETIES
… the second part, we establish the Morrison-Kawamata cone conjecture for hyperelliptic varieties. The cone conjecture, an open problem in birational geometry, predicts that the nef and movable cones, of projective varieties Y with K_Y numerically trivial, admit a rational polyhedral structure …
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New proposals for the popularization of braid theory
… have applications in different fields, e.g. in mathematical physics and in biology. In this thesis we provide a formal introduction to some topics in the mathematical theory of braids and two possible approaches to this field at a popular level: a movie and a workshop. The scientific movie …
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Edge-colorings and flows in Class 2 graphs
We consider edge-colorings and flows problems in Graph Theory that are hard to solve for Class 2 graphs. Most of them are strongly related to some outstanding open conjectures, such as the Cycle Double Cover Conjecture, the Berge-Fulkerson Conjecture, the Petersen Coloring Conjecture and the …
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C*-actions on rational homogeneous varieties and the associated birational maps
Given a birational map among projective varieties, it is known that there exists a variety Z with a one-dimensional torus action such that the birational map is induced from two geometric quotients of Z. We proceed in the opposite direction: given a smooth projective variety X with a …
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On the usage of the curvature for the comparison of planar curves
… or in space, or surfaces, looking for a deformation from one into another such that the transformation is gradual and continuous is an open and interesting problem both from a theoretical stand point and for the applications that can be envisaged. In particular, if the two starting shapes have …
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On Boolean functions, symmetric cryptography and algebraic coding theory
… into account the index coding with side information (ICSI) problem. Firstly we investigate the optimal length of a linear index code, that is equal to the min-rank of the hypergraph related to the instance of the ICSI problem. In particular we extend the the so-called Sandwich Property from …
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ON SOME GEOMETRIC PROPERTIES OF 𝜑-STATIC SPACES
… e, come conseguenza, questo influenzerà sia la geometria della varietà di base, la quale localmente si spezzerà in un prodotto warped avente come fette varietà di Einstein armoniche, sia la mappa, la quale non dipenderà dal flusso del campo vettoriale e sarà in alcuni casi costante.
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DEGENERATIONS OF AUTOMORPHISMS ON IRREDUCIBLE HOLOMORPHIC SYMPLECTIC VARIETIES
… threefolds is isomorphic to a moduli space $\mathcal{N}^{\rho, \zeta}_{\langle 6\rangle}$ of IHS varieties equipped with a special order 3 non-symplectic automorphism. This is a result by Boissière--Camere--Sarti, \cite{BCS}. In the same paper, the authors extended the result to the general …
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Sugli spazi omogenei di dimensione tre SO(2) - isotropi
In this thesis we studied some problems from the theory of the submanifolds of the three-dimensional Riemannian manifolds. Our intention is to evaluate which properties of the submanifolds depend by the dimension of the group of isometries. We considered a two-parameter family of three-dimensional …
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Zero-dimensional schemes: curves, singularities and tensors
L'abstract è presente nell'allegato / the abstract is in the attachment
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A COMPARISON BETWEEN GEOMETRIC QUASI-FUNCTORS AND FOURIER-MUKAI FUNCTORS
… del suo nucleo, dando così risposta affermativa ad una congettura di Toën.
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MIXED GRADED MODULES IN HOMOTOPY LIE THEORY
L’obiettivo principale di questa tesi è lo studio dei complessi misti graduati e del loro possibile ruolo nell’ambito della ricerca nella teoria della deformazione. In particolare, mi sono occupato della relazione tra complessi misti graduati e algebre di Lie derivate. I due contributi principali …
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