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- W2064778841 abstract "Starting from certain rational varieties blown-up from ( P 1 ) N , we construct a tropical, i.e., subtraction-free birational, representation of Weyl groups as a group of pseudo-isomorphisms of the varieties. We develop an algebro-geometric framework of τ -functions as defining functions of exceptional divisors on the varieties. In the case where the corresponding root system is of affine type, our construction yields a class of (higher order) q -difference Painlevé equations and its algebraic degree grows quadratically." @default.
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- W2064778841 date "2009-06-01" @default.
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- W2064778841 title "Tropical representation of Weyl groups associated with certain rational varieties" @default.
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- W2064778841 doi "https://doi.org/10.1016/j.aim.2009.01.013" @default.
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