25 citations · 76 across the 24 of their papers we have counts for
26 papers
Physics over a finite field and Wick rotation
Boris Zilber
The paper develops an earlier proposition that the physical universe is a finite system co-ordinatised by a very large finite field which looks like the f…
A topological -invariant
Boris Zilber
We suggest to look at formal sentences describing complex algebraic varieties together with their universal covers as topological invariants. We prove that for abelian varieties an…
On the Theory of Specialisations of Regular Covers of Zariski Structures
Ugur Efem, Boris Zilber
In algebraic geometry specialisations and valuations play and important role. In this paper we start investigating analogous structures for Zariski structures. Specifically, we loo…
Non-elementary categoricity and projective locally o-minimal classes
Boris Zilber
Given a cover of a family of smooth complex algebraic varieties, we associate with it a class containing , of structures locally definable i…
Modular curves and their pseudo-analytic cover
Boris Zilber, Chris Daw
We find a natural -axiomatisation of a structure on the upper half-plane as the covering space of modular curves. The main theorem states that has a…
Canonical models of modular curves and the Galois action on CM-points
Boris Zilber, Chris Daw
We use the theory of canonical models of Shimura varieties to describe the projective limit of the curves Y(N), all N, and its automorphism group. In particular we prove that the G…