14 citations · 16 across the 3 of their papers we have counts for
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math-ph2000
Hyperelliptic Prym Varieties and Integrable Systems
Rui Loja Fernandes, Pol Vanhaecke
We introduce two algebraic completely integrable analogues of the Mumford systems which we call hyperelliptic Prym systems, because every hyperelliptic Prym variety appears as a fi…
math.DG2000
Lie Algebroids, Holonomy and Characteristic Classes
Rui Loja Fernandes
We extend the notion of connection in order to be able to study singular geometric structures, namely, we consider a notion of connection on a Lie algebroid which is a natural exte…
math.DG2000
Connections in Poisson Geometry I: Holonomy and Invariants
Rui Loja Fernandes
We discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by Izu Vaisman…