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arXiv · 1811.12229

Minimizing CM degree and slope stability of projective varieties

Kentaro Ohno
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Abstract

We discuss a minimization problem of the degree of the CM line bundle among all possible fillings of a polarized family with fixed general fibers. We show that such minimization implies the slope semistability of the fiber if the central fiber is smooth.

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Kentaro Ohno. 2018-11-29. Minimizing CM degree and slope stability of projective varieties. https://arxiv.org/abs/1811.12229

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