Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integration-by-parts reductions from the viewpoint of computational
  algebraic geometry   Integration-by-parts reductions play a central role in perturbative QFT
calculations. They allow the set of Feynman integrals contributing to a given
observable to be reduced to a small set of basis integrals, and they moreover
facilitate the computation of those basis integrals. We introduce an efficient
new method for generating integration-by-parts reductions. This method
simplifies the task by making use of generalized-unitarity cuts and turns the
problem of finding the needed total derivatives into one of solving certain
polynomial (so-called syzygy) equations.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph