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October 14, 2026
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Unstable polarized del Pezzo surfaces

Transactions of the American Mathematical Society. 2019. Vol. 372. No. 10. P. 7255–7296.
Cheltsov I., Martinez-Garcia J.

We provide new examples of -unstable polarized smooth del Pezzo surfaces using a flopped version first used by Cheltsov and Rubinstein of the test configurations introduced by Ross and Thomas. As an application, we provide new obstructions for the existence of constant scalar curvature Kähler metrics on polarized smooth del Pezzo surfaces. 

Research target: Mathematics
Language: English
DOI
Text on another site
Keywords: del Pezzo surfaceflopsK-stabilitycscK metricslope stability
Publication based on the results of:
Geometry of commutative and non-commutative algebraic varieties, derived categories, special manifolds and representations (2020)
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