Mathematics – Algebraic Geometry
Scientific paper
2011-03-02
Mathematics
Algebraic Geometry
34 pages; v2: added Prop. 5.6 and Theorem 6.7(7); v3: rewrote introduction
Scientific paper
The numerical dimension is a numerical measure of the positivity of a
pseudo-effective divisor $L$. There are several proposed definitions of the
numerical dimension due to \cite{nakayama04} and \cite{bdpp04}. We prove the
equality of these notions and give several additional characterizations. We
also prove some new properties of the numerical dimension.
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