Abstract
T. Fujita conjectured that the sectional genus of a quasi-polarised variety is non-negative. We prove this conjecture. Using the minimal model program we also prove that if the sectional genus is zero the Δ-genus is also zero. This leads to a birational classification of quasi-polarised varieties with sectional genus zero.
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Höring, A. The sectional genus of quasi-polarised varieties. Arch. Math. 95, 125–133 (2010). https://doi.org/10.1007/s00013-010-0152-y
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DOI: https://doi.org/10.1007/s00013-010-0152-y