arXiv subjects

Rahim Moosa

Publications and source records attributed to Rahim Moosa.

39 records · Page 3Linked to original sources

arXiv2007

Model theory and Kaehler geometry

We survey and explain some recent work at the intersection of model theory and bimeromorphic geometry (classification of compact complex manifolds). Included here are the essential saturation of the many sorted structure $\mathcal{C}$ of compact Kaehler manifolds, the conjectural role of hyperkaehler manifolds in the description of strongly minimal sets in $\mathcal{C}$ and Campana's work on the isotriviality of hyperkaehler families and its connection with the nonmultidimensionality conjecture.

math.LO↗

arXiv2004

Jet spaces in complex analytic geometry: an exposition

These notes are an exposition and synthesis of various "jet space" constructions in complex analytic geometry. They are written primarily for model-theorists interested in the results of Campana and Fujiki (whose model-theoretic significance has been observed by Pillay).

math.LO↗

arXiv2002

F-structures and integral points on semiabelian varieties over finite fields

Motivated by the problem of determining the structure of integral points on subvarieties of semiabelian varieties defined over finite fields, we prove a quantifier elimination result for certain modules over finite simple extensions of the integers given together with predicates for orbits of the distinguished generator of the ring.

math.LO↗