Comparing numerical dimensions

Brian Lehmann

doi:10.2140/ant.2013.7.1065

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Home > Journals > Algebra Number Theory > Volume 7 > Issue 5 > Article

2013 Comparing numerical dimensions

Brian Lehmann

Algebra Number Theory 7(5): 1065-1100 (2013). DOI: 10.2140/ant.2013.7.1065

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Abstract

The numerical dimension is a numerical measure of the positivity of a pseudoeffective divisor $L$ . There are several proposed definitions of the numerical dimension due to Nakayama and Boucksom et al. We prove the equality of these notions and give several additional characterizations. We also prove some new properties of the numerical dimension.