Tropical geometry and competitive equilibrium in product mix auctions [en] This work studies the application of tropical geometry to the analysis of competitive equilibrium in product mix auctions. The paper is structured into five main chapters. We begin with an introd...

Nou #TFG al #DDUB: «Tropical geometry and competitive equilibrium in product mix auctions»

#GeometriaTropical
#ConjuntsConvexos
#GeometriaAlgebraica

Toward logarithmic sheaves on singular varieties: marked points in line arrangements [en] The main objective of this project is to take a first step toward extending the classical definition of the logarithmic tangent sheaf to the setting of singular ambient schemes. The first part of...

Nou #TFM al #DDUB: «Toward logarithmic sheaves on singular varieties: marked points in line arrangements»

#GeometriaAlgebraica
#TeoriaDelsFeixos
#VarietatsAlgebraiques
#Esquemes

Krull Dimension and the Nullstellensatz: From Classical Foundations to Constructive Mathematics This work presents a comprehensive study of fundamental concepts in commutative algebra through both classical and constructive approaches. The first chapter focuses on affine algebraic varieties, the...

Nou #TFG al #DDUB: «Krull Dimension and the Nullstellensatz: From Classical Foundations to Constructive Mathematics»

#ÀlgebraCommutativa
#GeometriaAlgebraica
#TeoriaDeLaDimensió
#Esquemes

Dipòsit Digital de la Universitat de Barcelona: Non-negativity certificates for polynomials

Nou #TFG al #DDUB: «Non-negativity certificates for polynomials»

hdl.handle.net/2445/221272

#ÀlgebraCommutativa
#GeometriaAlgebraica
#AlgorismesComputacionals

Nou #TFG al #DDUB: «Grothendieck’s vanishing theorems for affine schemes»

hdl.handle.net/2445/221129

#Esquemes
#GeometriaAlgebraica
#Morfismes
#Homologia

Dipòsit Digital de la Universitat de Barcelona: Del Pezzo surfaces

Nou #TFM al #DDUB: «Del Pezzo surfaces»

hdl.handle.net/2445/216947

#SuperfíciesAlgebraiques
#GeometriaAlgebraica