Amador Martin-Pizarro

Die böse Farbe

We construct a bad field in characteristic zero. That is, we construct an algebraically closed field which carries a notion of dimension analogous to Zariski-dimension, with an infinite proper multiplicative subgroup of dimension one, and such that the field itself has dimension two. This answers a longstanding open question by Zilber.

Fusion over a vector space

Let T1 and T2 be two countable strongly minimal theories with the DMP whose common theory is the theory of vector spaces over a fixed finite field. We show that T1 ∪ T2 has a strongly minimal completion.

Elliptic and Hyperelliptic Curves Over Supersimple Fields

It is proved that if

Supersimplicity and quadratic extensions

F

A model-theoretic study of right-angled buildings

is an infinite field with characteristic different from

DIE B OSE FARBE

2

Hrushovski's Fusion ⁄

, whose theory is supersimple, and

On fields and colours

C

À la recherche du Tore perdu

is an elliptic or hyperelliptic curve over

Fields and colors

F