The canonical volume of threefolds of general type with $χ<1$

Mathematics – Algebraic Geometry

Scientific paper

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16 pages, Updated version, To appear in Journal of LMS

Scientific paper

We prove that the canonical volume $K^3\geq {1/30}$ for all projective
3-folds of general type with $\chi(\mathcal{O})\leq 0$. This bound is sharp.

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