Publications > Preprint server > Preprint Number 198
Preprint Number 198
198. Misha Gavrilovich Covers of Abelian varieties as analytic Zariski structures E-mail: Submission date: 5 September 2009. Abstract: We use tools of mathematical logic to analyse the
notion of a path on an complex algebraic variety, and are led to
formulate a rigidity property of fundamental groups specific
to algebraic varieties, as well as to define a bona fide
topology closely related to etale topology. These appear as
criteria for uncountable categoricity, or rather stability and
homogeneity, of the formal countable language we propose to
describe homotopy classes of paths on a variety, or
equivalently, its universal covering space. We also show that,
with this topology, the universal covering space of the variety
is an analytic Zariski structure. Mathematics Subject Classification: Keywords and phrases: |
Last updated: March 23 2021 09:21 | Please send your corrections to: |