Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic scattering equations   Recently the CHY approach has been extended to one loop level using elliptic
functions and modular forms over a Jacobian variety. Due to the difficulty in
manipulating these kind of functions, we propose an alternative prescription
that is totally algebraic. This new proposal is based on an elliptic algebraic
curve embedded in a $\mathbb{C}P^2$ space. We show that for the simplest
integrand, namely the ${\rm n-gon}$, our proposal indeed reproduces the
expected result. By using the recently formulated $\Lambda-$algorithm, we found
a novel recurrence relation expansion in terms of tree level off-shell
amplitudes. Our results connect nicely with recent results on the one-loop
formulation of the scattering equations. In addition, this new proposal can be
easily stretched out to hyperelliptic curves in order to compute higher genus.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th