3 citations · 11 across the 9 of their papers we have counts for
10 papers
Hessian metrics with distribution coefficients on a 2-sphere
Dmitry Sustretov
Let be a 2-sphere endowed with an affine structure away from a finite set of points , and assume that the monodromy of the associated connection on $Δ\set…
Combinatorial part of the cohomology of the nearby fibre
Dmitry Sustretov
Let be a unipotent degeneration of projective complex manifolds over a disc such that the reduction of the central fibre is simple normal crossings, and…
Motivic volume of families of polarized rigid-analytic tori
Dmitry Sustretov
Let be a non-Archimedean rational valued field. We construct the moduli space of linearly rigidified polarized analytic tori over that admit rigid-analytic uniformization b…
Gromov-Hausdorff limits of flat Riemannian surfaces
Dmitry Sustretov
I study Gromov-Hausdorff limits of complex curves endowed with singular flat metrics of constant diameter. I formulate a criterion that the limit is collapsed in terms of a certain…
Incidence systems on Cartesian powers of algebraic curves
Assaf Hasson, Dmitry Sustretov
We show that a reduct of the Zariski structure of an algebraic curve which is not locally modular interprets a field, answering a question of Zilber's.
Restricted trichotomy in higher dimensions
Dmitry Sustretov
I prove, answering a question of Zilber, that if is an algebraic variety of dimension strictly greater than one and is a strongly minimal structure with atomic re…