2 citations · 4 across the 4 of their papers we have counts for
4 papers
Constructing the hyperdefinable group from the group configuration
Tristram De Piro, Byunghan Kim, Jessica Millar
For simple theories with a strong version of amalgamation we obtain the canonical hyperdefinable group from the group configuration. This provides a generalization to simple theori…
The Geometry of Linear Regular Types
Tristram de Piro
This paper is concerned with extending results from "The Geometry of 1-Based Minimal Types" by Kim and the present author. We work in the more general context of the solution set D…
A Non-Standard Bezout Theorem
Tristram de Piro
This paper provides a non-standard analogue of Bezout's theorem. This is acheived by showing that, in all characteristics, the notion of Zariski multiplicity coincides with interse…
Zariski Structures and Algebraic Geometry
Tristram de Piro
The purpose of this paper is to provide a new account of multiplicity for finite morphisms between smooth projective varieties. Traditionally, this has been defined using commutati…