Tohoku Mathematical Journal
2014

March
SECOND SERIES VOL. 66, NO. 1

Tohoku Math. J.
66 (2014), 15-29

Title A NOTE ON BLOW-UPS OF TORIC SURFACES AND CSC KÄHLER METRICS

Author Carl Tipler

(Received March 8, 2012, revised January 23, 2013)
Abstract. Let $X$ be a compact toric surface. Then there exists a sequence of torus equivariant blow-ups of $X$ such that the blown-up toric surface admits a cscK metric.

Mathematics Subject Classification. Primary 14M25; Secondary 53C55.

Key words and phrases. Toric surfaces, constant scalar curvature Kähler metrics.

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