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\centerline{\large \bf The simplest projective variety, i.e. ${\mathbb P}^n$.}

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\centerline{Marco Andreatta}
\centerline{\it Dipartimento di Matematica-Universit\'a di Trento,Italia}
\centerline{e-mail {\tt andreatt@science.unitn.it}}

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We present some recent characterizations of the projective space which
extend the famous theorem of Mori (proof of Hartshorne-Frankel conjecture).
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