I vaguely recall that resolution of singularity may be linked to continued fracton, possibly it is cusp that links to CF. Could any one give concrete reference and give example? Thanks.
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2$\begingroup$ See also Hirzebruch, Hilbert modular surfaces. L'Ens. Math. 19, 183-281 (1973) $\endgroup$– PigCommented Sep 5, 2017 at 2:52
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$\begingroup$ @user31415 thank you for your comment. $\endgroup$– XL _At_Here_ThereCommented Sep 5, 2017 at 3:05
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1$\begingroup$ Possible duplicate of Linkage between singularities of algebraic varieties and continued fractions $\endgroup$– David LoefflerCommented Sep 5, 2017 at 12:36
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$\begingroup$ @DavidLoeffler possible, I have just found they are related. $\endgroup$– XL _At_Here_ThereCommented Sep 5, 2017 at 20:49
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Discussed in John Voight's paper. The paper does not appear to be published, I know not why.
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$\begingroup$ It looks like that the matrix from CF is similar to the representive matrix of the group $\endgroup$ Commented Sep 5, 2017 at 4:28