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19982024
most citedBacklund transformations for finite-dimensional integrable systems: a geometric approach

43 citations · 119 across the 22 of their papers we have counts for

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math.AG2013

Algebraic integrable systems related to spectral curves with automorphisms

Rei Inoue, Pol Vanhaecke, Takao Yamazaki

We apply a reduction to the Beauville systems to obtain a family of new algebraic completely integrable systems, related to curves with a cyclic automorphism.

math.AG2001★ 5 cited

The Vanishing of the Theta Function in the KP Direction: a Geometric Approach

Ch. Birkenhake, P. Vanhaecke

We give a geometric proof of a formula, due to Segal and Wilson, which describes the order of vanishing of the Riemann theta function in the direction which corresponds to the dire…