Abstract We study three methods that prove the positivity of a natural numerical invariant associated to 1-parameter families of polarized varieties. All these meth- ods 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.
Stability conditions and positivity of invariants of fibrations
STOPPINO, LIDIA
2014-01-01
Abstract
Abstract We study three methods that prove the positivity of a natural numerical invariant associated to 1-parameter families of polarized varieties. All these meth- ods 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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