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math.AG2017★ 2 cited
Signed counts of real simple rational functions
Boulos El Hilany, Johannes Rau
We study the problem of counting real simple rational functions with prescribed ramification data (i.e. a particular class of oriented real Hurwitz numbers of genus ). We in…
math.AG2017★ 25 cited
Lefschetz (1,1)-theorem in tropical geometry
Philipp Jell, Johannes Rau, Kristin Shaw
For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in…