Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Euler characteristic of local systems on the moduli of genus 3
  hyperelliptic curves   For a partition $lambda=\{lambda_1 \geq \lambda_2 \geq \lambda_3 \}$ of
non-negative integers, we calculate the Euler characteristic of the local
system $V_{\lambda}$ on the moduli space of genus 3 hyperelliptic curves using
a suitable stratification. For some $\lambda$ of low degree, we make a guess
for the motivic Euler characteristic of $V_{\lambda}$ using counting of curves
over finite fields.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat