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Restricted volumes and base loci of linear series

Lawrence Ein·Robert Lazarsfeld·Mircea Mustata·Michael Nakamaye·Mihnea Popa
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Abstract

We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.

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Lawrence Ein, Robert Lazarsfeld, Mircea Mustata, Michael Nakamaye, Mihnea Popa. 2008-01-10. Restricted volumes and base loci of linear series. https://arxiv.org/abs/math/0607221

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