4 papers
A note on gluing: a pillar of algebraic geometry
Sophie Marques, Damas Mgani
This paper examines the concept of gluing, placing it within its most general categorical context and tracing its foundational role in the broader architecture of algebraic geometr…
A Categorical Perspective on Gluing
Sophie Marques, Damas Mgani
This paper introduces the concept of gluing in a general category, enabling us to define categories that admit glued-up objects. To achieve this, we introduce the notion of a gluin…
Gluing Data categories and gluing data functors
Sophie Marques, Damas Mgani
We present a novel approach to the concept of gluing in mathematics by introducing the notions of a gluing data category and a gluing data functor. Our work provides a formal categ…
On Hilbert Functions of Points in Projective Space and Structure of Graded Modules
Damas Karmel Mgani, Makungu Mwanzalima
In this paper, we investigate the relationship between the Hilbert functions and the associated properties of the graded modules. To attain this, we construct the graded modules fr…