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The J-flow and stability

par Lejmi, Mehdi ;Székelyhidi, Gábor
Référence Advances in mathematics, 274, page (404-431)
Publication Publié, 2015-04

Article révisé par les pairs

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Résumé :

We study the J-flow from the point of view of an algebro-geometric stability condition. In terms of this we give a lower bound for the natural associated energy functional, and we show that the blowup behavior found by Fang and Lai [11] is reflected by the optimal destabilizer. Finally we prove a general existence result on complex tori.