TeX source:

\left\{ \begin{array}{lll} 1+T_r(J(E^∗))+Det(J(E^∗)) > 0 \\ 1−T_r(J(E^∗))+Det(J(E^∗)) > 0 \\ 1−Det(J(E^∗)) > 0 \end{array} \right.