  OSCAR is an innovative new computer algebra system which combines and extends
the power of its four cornerstone systems - GAP (group theory), Singular
(algebra and algebraic geometry), Polymake (polyhedral geometry), and Antic
(number theory). Here, we present parts of the module handeling matroids in
OSCAR, which will appear as a chapter of the upcoming OSCAR book. A matroid is
a fundamental and actively studied object in combinatorics. Matroids generalize
linear dependency in vector spaces as well as many aspects of graph theory.
Moreover, matroids form a cornerstone of tropical geometry and a deep link
between algebraic geometry and combinatorics. Our focus lies in particular on
computing the realization space and the Chow ring of a matroid.
