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The cone of pseudo-effective divisors of log varieties after Batyrev

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Abstract

In these notes, we investigate the cone of nef curves of projective varieties, which is the dual cone to the cone of pseudo-effective divisors. We prove a structure theorem for the cone of nef curves of projective \({\mathbb Q}\)-factorial klt pairs of arbitrary dimension from the point of view of the Minimal Model Program. This is a generalization of Batyrev’s structure theorem for the cone of nef curves of projective terminal threefolds.

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  1. IMPA, Estrada Dona Castorina 110, Rio de Janeiro, 22460-320, Brazil

    Carolina Araujo

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  1. Carolina Araujo
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Correspondence to Carolina Araujo.

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Araujo, C. The cone of pseudo-effective divisors of log varieties after Batyrev. Math. Z. 264, 179–193 (2010). https://doi.org/10.1007/s00209-008-0457-8

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