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

Okounkov bodies and giansiracusa-giansiracusa valuations Okounkov bodies are convex sets associated with divisors on algebraic varieties that allow for the study of asymptotic properties of both the divisor and the variety. This theory, developed independen...

Nou #TFG al #DDUB: «Okounkov bodies and giansiracusa-giansiracusa valuations»

#GeometriaAlgebraicaAritmètica
#Esquemes
#TeoriaDeNombres

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: Elliptic curves, cryptographic proofs and signature schemes: a comprehensive analysis of the Pinocchio protocol and implementation frameworks

Nou #TFG al #DDUB: «Elliptic curves, cryptographic proofs and signature schemes: a comprehensive analysis of the Pinocchio protocol and implementation frameworks»

hdl.handle.net/2445/221815

#CorbesEl·líptiques
#Esquemes
#Criptografia

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

hdl.handle.net/2445/221129

#Esquemes
#GeometriaAlgebraica
#Morfismes
#Homologia