The Nonvanishing Problem for varieties with nef anticanonical bundle
Documenta mathematica, Tome 28 (2023) no. 6, pp. 1393-1440

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We prove that if (X,Δ) is a threefold pair with mild singularities such that −(KX​+Δ) is nef, then the numerical class of −(KX​+Δ) is effective.
DOI : 10.4171/dm/936
Classification : 14E30
Mots-clés : generalised Nonvanishing Conjecture, nef anticanonical sheaf, Minimal Model Program
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     title = {The {Nonvanishing} {Problem} for varieties with nef anticanonical bundle},
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Vladimir Lazić; Shin-ichi Matsumura; Thomas Peternell; Nikolaos Tsakanikas; Zhixin Xie. The Nonvanishing Problem for varieties with nef anticanonical bundle. Documenta mathematica, Tome 28 (2023) no. 6, pp. 1393-1440. doi: 10.4171/dm/936

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