Blow-up algebras in Algebra, Geometry and Combinatorics 

    Cid Ruiz, Yairon (Date of defense: 2019-06-26)

    The primary topic of this thesis lies at the crossroads of Commutative Algebra and its interactions with Algebraic Geometry and Combinatorics. It is mainly focused around the following themes: I Defining equations ...

    Chern degree functions and Prym semicanonical pencils 

    Rojas, Andrés (Date of defense: 2021-11-26)

    Abelian varieties are projective algebraic varieties endowed with a group structure. They constitute one of the most explored objects in Algebraic Geometry throughout the last decades. On the one hand, abelian varieties ...

    Gröbner's problem and the geometry of GT-varieties 

    Colarte Gómez, Liena (Date of defense: 2021-07-20)

    Within the framework of algebraic geometry and commutative algebra, this thesis makes advances in (1) the Gröbner's longstanding problem of determining whether a monomial projection of the Veronese variety Vn,d is an aCM ...