Y. Zarhin

activity

19962026

most citedVery simple 2-adic representations and hyperelliptic jacobians

45 citations · 259 across the 87 of their papers we have counts for

collaborators

110 papers

math.NT2026

Torsion points of small order on cyclic covers of $P^{1}$ . III

Boris M. Bekker, Yuri G. Zarhin

Let $d > 1$ be an integer and $K_{0}$ a perfect field such that $c ha r (K_{0})$ does not divide $d$ . Let $n > d$ be an integer that is prime to $d$ . Let $f (x) \in K_{0} [x]$ be a degree $n$ moni…

math.AG2026

Prym varieties that are not isomorphic to Jacobian

Yuri G. Zarhin

We study Prym varieties of ramified (at precisely two points) double covers of smooth irreducible complex projectives curves that admit an automorphism of prime order $p > 2$ . Using…

math.AG2025

Torsion points of small order on cyclic covers of $P^{1}$ . II

Boris Bekker, Yuri G. Zarhin

Let $d \geq 2$ be an integer, $K_{0}$ a perfect field such that $c ha r (K_{0})$ does not divide $d$ , $n > d$ an integer prime to $d$ , $f (x) \in K_{0} [x]$ a degree $n$ monic polynomial withou…

math.AG2024

Torsion points of small order on cyclic covers of $P^{1}$

Boris M. Bekker, Yuri G. Zarhin

Let $d \geq 2$ be a positive integer, $K$ an algebraically closed field of characteristic not dividing $d$ , $n \geq d + 1$ a positive integer that is prime to $d$ , $f (x) \in K [x]$ a deg…

math.NT2024

Comment on "On the squarefree density of polynomials"

Yuri G. Zarhin

This is an exposition of results of R.C. Vaughan and the author (Mathematika 70 (2024), no. 4). We discuss how often the squarefree values of an integral polynomial do occur. We di…

math.NT2024

Odd quadratic orders and real $j$ -invariants

Yuri G. Zarhin

Let $O$ be an order of odd discriminant $D$ in an imaginary quadratic field $K$ . Let $C l (O)$ be the group of proper $O$ -ideals and $C l (O) [2]$ the kernel of multiplication by $2$ in…

Torsion points of small order on cyclic covers of P1. III

Prym varieties that are not isomorphic to Jacobian

Torsion points of small order on cyclic covers of P1. II

Torsion points of small order on cyclic covers of P1

Comment on "On the squarefree density of polynomials"

Odd quadratic orders and real j-invariants

Torsion points of small order on cyclic covers of $P^{1}$ . III

Torsion points of small order on cyclic covers of $P^{1}$ . II

Torsion points of small order on cyclic covers of $P^{1}$

Odd quadratic orders and real $j$ -invariants