719 citations · 3.5k across the 84 of their papers we have counts for
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alg-geom1997★ 20 cited
The arithmetic-geometric mean and isogenies for curves of higher genus
Ron Donagi, Ron Livne
Computation of Gauss's arithmetic-geometric mean involves iteration of a simple step, whose algebro-geometric interpretation is the construction of an elliptic curve isogenous to a…
alg-geom1997
Seiberg-Witten integrable systems
Ron Y. Donagi
This is a survey of the work of Seiberg and Witten on 4-dimensional N=2 supersymmetric Yang-Mills theory and of some of its recent extensions, written for mathematicians. The point…
alg-geom1997★ 13 cited
Principal bundles on elliptic fibrations
Ron Y. Donagi
A central role in recent investigations of the duality of F-theory and heterotic strings is played by the moduli of principal bundles, with various structure groups G, over an elli…