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arxiv: 1008.2607 · v5 · pith:OG3CU7RLnew · submitted 2010-08-16 · 🧮 math.DG

Extremal metrics on toric surfaces

classification 🧮 math.DG
keywords extremalsurfacestoricabreuassumedequationexistencemetric
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In this paper, we study the Abreu equation on toric surfaces. In particular, we prove the existence of the positive extremal metric when relative $K$-stability is assumed.

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