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 L.
2014-01-01

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.
2014
978-3-319-05403-2
978-3-319-05404-9
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1277150
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