Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anticanonically balanced metrics on Fano manifolds   We show that if a Fano manifold has discrete automorphism group and admits a
polarized K\"ahler-Einstein metric, then there exists a sequence of
anticanonically balanced metrics converging smoothly to the K\"ahler-Einstein
metric. Our proof is based on a simplification of Donaldson's proof of the
analogous result for balanced metrics, replacing a delicate geometric argument
by the use of Berezin-Toeplitz quantization. We then apply this result to
compute the asymptotics of the optimal rate of convergence to the fixed point
of Donaldson's iterations in the anticanonical setting.

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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: econ