A database of genus-2 curves over the rational numbers Page 1 LMS J. Comput. Math. 19 (Special
issue A) (2016) 235–254 C 2016 Authors doi:10.1112/S146115701600019X A database of …

Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time II Page
136 Contemporary Mathematics Volume 663 , 2016 http://dx. doi. org/10.1090/conm/663/13352 …

Let x be a curve in positive characteristic. A Hasse–Witt matrix for x is a matrix that
represents the action of the Frobenius operator on the cohomology group H1 (x, OX) with …

We present new algorithms for computing zeta functions of algebraic varieties over finite
fields. In particular, let be an arithmetic scheme (scheme of finite type over), and for a prime …

In this expository article we explore the relationship between Galois representations, motivic
L-functions, Mumford-Tate groups, and Sato-Tate groups, and we give an explicit …

A Howe curve is a curve of genus 4 obtained as the fiber product of two genus-1 double
covers of P 1. We present a simple algorithm for testing isomorphism of Howe curves, and …

Modular integer arithmetic occurs in many algorithms for computer algebra, cryptography,
and error correcting codes. Although recent microprocessors typically offer a wide range of …

We consider the problem of efficient computation in the Jacobian of a hyperelliptic curve of
genus 3 defined over a field whose characteristic is not 2. For curves with a rational …

We describe an algorithm, based on the properties of the characteristic polynomials of
Frobenius, to compute $\operatorname {End} _ {\overline {K}}(A) $ when $ A $ is the …

We describe the practical implementation of an average polynomial-time algorithm for
counting points on superelliptic curves defined over ℚ that is substantially faster than …