Some remarks on open analytic curves over non-archimedian fields
نویسنده
چکیده
We study open analytic curves over non-archimedian fields and their formal models. In particular, we give a criterion, in terms of étale cohomology, when such a formal model is (almost) semistable.
منابع مشابه
On a Theorem of Brudno over Non-archimedian Fields
Following Monna [/], attempts have been made in recent times to study different summability methods over non-archimedian fields which are complete in the metric of valuation. In all such attempts, as in [3], [4], significant differences in contrast to the classical case have been obtained. The object of the present short note is to prove by an example that the classical theorem of Brudno [2] de...
متن کاملExperimental Data for Goldfeld's Conjecture over Function Fields
This paper presents empirical evidence supporting Goldfeld’s conjecture on the average analytic rank of a family of quadratic twists of a fixed elliptic curve in the function field setting. In particular, we consider representatives of the four classes of non-isogenous elliptic curves over Fq(t) with (q, 6) = 1 possessing two places of multiplicative reduction and one place of additive reductio...
متن کاملA note on superspecial and maximal curves
In this note we review a simple criterion, due to Ekedahl, for superspecial curves defined over finite fields.Using this we generalize and give some simple proofs for some well-known superspecial curves.
متن کاملAnalytic Hypoellipticity at Non-symplectic Poisson-treves Strata for Sums of Squares of Vector Fields
We consider an operator P which is a sum of squares of vector fields with analytic coefficients. The operator has a nonsymplectic characteristic manifold, but the rank of the symplectic form σ is not constant on CharP . Moreover the Hamilton foliation of the non symplectic stratum of the Poisson-Treves stratification for P consists of closed curves in a ring-shaped open set around the origin. W...
متن کاملSOME REMARKS ON WEAKLY INVERTIBLE FUNCTIONS IN THE UNIT BALL AND POLYDISK
We will present an approach to deal with a problem of existence of (not) weakly invertible functions in various spaces of analytic functions in the unit ball and polydisk based on estimates for integral operators acting between functional classes of different dimensions.
متن کامل