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\begin{document}

\title{Complex Geometry}
\author{Filip Mari\'c  \and
 Danijela Simi\'c
 }
\maketitle

\begin{abstract}
A formalization of geometry of complex numbers is presented.
Fundamental objects that are investigated are the complex plane extended
by a single infinite point, its objects (points, lines and circles), and
groups of transformations that act on them (e.g., inversions and M\"obius
transformations). Most objects are defined algebraically, but
correspondence with classical geometric definitions is shown. 
\end{abstract}

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\end{document}

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