Non-supersingular Hyperelliptic jacobians
Yuri G. Zarhin
Abstract
In his previous papers the author proved that in characteristic different from 2 the jacobian J(C) of a hyperelliptic curve C: y2=f(x) has only trivial endomorphisms over an algebraic closure Ka of the ground field K if the Galois group of the irreducible polynomial f(x) in K[x] is either the full symmetric group Sn or the alternating group An. Here n > 8 is the degree of f. The goal of this paper is to extend this result to the case when either n=7,8 or n=5,6 and char(K)>3.
Create a lesson
Related papers
Heavy-Light Wall Crossings and Motivic Asymptotics of Moduli Spaces of Curves. Part I: Stabilization Graphs and Euler Characteristics
Giordano Cotti
The pliability of del Pezzo surfaces
Elias Kurz, Egor Yasinsky
Hessenberg character
Patrick Brosnan, Jaehyun Hong, Donggun Lee
On the geometric degree of the prolongation varieties of the differential system x1'=x22, x2'=x12
Mattia Puddu
The super Weil-Petersson asymptotic expansion and the coefficients
Xuanyu Huang, Kefeng Liu, Hao Xu
On the proof of multi-variable n/d-conjecture for hyperplane arrangements
Rui Tan, Fanghan Xiang