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\begin{document}
\title{The Kohn-Luttinger superconductivity in idealized doped graphene}
\author{M.Yu. Kagan}
\affiliation{P. L. Kapitza Institute for Physical Problems, 119334 Moscow, Russia}
\affiliation{Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, 109028 Moscow, Russia}
\author{V.V. Val'kov}
\affiliation{L. V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia}
\author{V.A. Mitskan}
\affiliation{L. V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia}
\affiliation{Siberian State Aerospace University, 660014 Krasnoyarsk, Russia}
\author{\underline{M.M. Korovushkin}}
\affiliation{L. V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia}
\begin{abstract}
The effect of the long-range Coulomb repulsion in an ensemble of
Dirac fermions on the formation of the superconducting pairing in
an idealized graphene monolayer is studied in the framework of
the Kohn-Luttinger mechanism neglecting the van der Waals
potential of a substrate and the role of the nonmagnetic
impurities. The superconductive phase diagram of the system is constructed and it is shown that the Kohn-Luttinger renormalizations up to and including the second-order terms in the Coulomb interaction and the intersite Coulomb repulsion significantly affect the interplay between the superconducting phases with $f$-, $d+id$-, and $p+ip$-wave symmetries of the order parameter.


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\textit{This work was supported by the RFBR (projects 14-02-00058 and 14-02-31237) and the Grant of President of Russia (project MK-526.2013.2).}
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\end{abstract}
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