Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical verification of the Birch and Swinnerton-Dyer conjecture for
  hyperelliptic curves of higher genus over $\mathbb Q$ up to squares   The Birch and Swinnerton-Dyer conjecture has been numerically verified for
the Jacobians of 32 modular hyperelliptic curves of genus 2 by Flynn,
Lepr\'evost, Schaefer, Stein, Stoll and Wetherell, using modular methods. In
the calculation of the real period, there is a slight inaccuracy, which might
give problems for curves with non-reduced components in the special fibre of
their N\'eron model. In this present paper we explain how the real period can
be computed, and how the verification has been extended to many more
hyperelliptic curves, some of genus 3, 4 and 5, without using modular methods.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph