Add to ORKGIn this dissertation we will address three results concerning the limiting behavior of variations of Hodge structures. The first chapter introduces the main concepts involved and fixes some notation. In chapter two we discuss extension classes representing LMHS, compute them for a class of toric families and introduce an alternative method for the computation of VHS arising from middle convolution. The next chapter is concerned with the so called Apery constants; we provide a method of computing such constants by using higher normal functions coming from geometry. Finally, in the last chapter we analyze a family of surfaces with geometric monodromy group G2, and discuss the generic global Torelli theorem for such a family
We begin by introducing the concept of a Hodge structure and give some of its basic properties, incl...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
The Hodge conjecture is one of the seven millennium problems, and is framed within differential geom...
These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes...
We investigate a relationship between a particular class of two-dimensional integrable non-linear $\...
Contains fulltext : 176677.pdf (publisher's version ) (Closed access
Hodge correlators are complex numbers given by certain integrals assigned to a smooth complex curve....
2021 Spring.Includes bibliographical references.This dissertation explores the combinatorial structu...
On a projective complex variety $X$, constructing indecomposable higher Chow cycles is an interestin...
On a projective complex variety $X$, constructing indecomposable higher Chow cycles is an interestin...
We collect evidence in support of a conjecture of Griffiths, Green, and Kerr on the arithmetic of ex...
In this thesis we study toric hypersurfaces in the context of higher-dimensional algebraic geometry....
We collect evidence in support of a conjecture of Griffiths, Green, and Kerr on the arithmetic of ex...
We collect evidence in support of a conjecture of Griffiths, Green, and Kerr on the arithmetic of ex...
In this article, we review some aspects regarding Hodge-theoretic completion and boundarybehavior of...
We begin by introducing the concept of a Hodge structure and give some of its basic properties, incl...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
The Hodge conjecture is one of the seven millennium problems, and is framed within differential geom...
These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes...
We investigate a relationship between a particular class of two-dimensional integrable non-linear $\...
Contains fulltext : 176677.pdf (publisher's version ) (Closed access
Hodge correlators are complex numbers given by certain integrals assigned to a smooth complex curve....
2021 Spring.Includes bibliographical references.This dissertation explores the combinatorial structu...
On a projective complex variety $X$, constructing indecomposable higher Chow cycles is an interestin...
On a projective complex variety $X$, constructing indecomposable higher Chow cycles is an interestin...
We collect evidence in support of a conjecture of Griffiths, Green, and Kerr on the arithmetic of ex...
In this thesis we study toric hypersurfaces in the context of higher-dimensional algebraic geometry....
We collect evidence in support of a conjecture of Griffiths, Green, and Kerr on the arithmetic of ex...
We collect evidence in support of a conjecture of Griffiths, Green, and Kerr on the arithmetic of ex...
In this article, we review some aspects regarding Hodge-theoretic completion and boundarybehavior of...
We begin by introducing the concept of a Hodge structure and give some of its basic properties, incl...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
The Hodge conjecture is one of the seven millennium problems, and is framed within differential geom...