Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decouplings for curves and hypersurfaces with nonzero Gaussian curvature   We prove two types of results. First we develop the decoupling theory for
hypersurfaces with nonzero Gaussian curvature, which extends our earlier work
from \cite{BD3}. As a consequence of this we obtain sharp (up to $\epsilon$
losses) Strichartz estimates for the hyperbolic Schr\"odinger equation on the
torus.
  Our second main result is an $l^2$ decoupling for non degenerate curves which
has implications for Vinogradov's mean value theorem.

31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg