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arXiv · 1212.4769

Stability conditions and positivity of invariants of fibrations

Miguel A. Barja·Lidia Stoppino
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Abstract

We study three methods that prove the positivity of a natural numerical invariant associated to $1-$parameter families of polarized varieties. All these methods involve different stability conditions. In dimension 2 we prove that there is a natural connection between them, related to a yet another stability condition, the linear stability. Finally we make some speculations and prove new results in higher dimension.

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Miguel A. Barja, Lidia Stoppino. 2012-12-19. Stability conditions and positivity of invariants of fibrations. https://arxiv.org/abs/1212.4769

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