9 citations · 10 across the 4 of their papers we have counts for
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Euler Characteristic of real nondegenerate tropical complete intersections
Benoit Bertrand, Frederic Bihan
We define nondegenerate tropical complete intersections imitating the corresponding definition in complex algebraic geometry. As in the complex situation, all nonzero intersection…
Real Zeuthen numbers for two lines
Benoit Bertrand
Given three natural numbers such that , the Zeuthen number is the number of nonsingular complex algebraic curves of degree passing through …
A Non-Algebraic Patchwork
Benoit Bertrand, Erwan Brugalle
Itenberg and Shustin's pseudoholomorphic curve patchworking is in principle more flexible than Viro's original algebraic one. It was natural to wonder if the former method allows o…
Asymptotically maximal families of hypersurfaces in toric varieties
Benoit Bertrand
A real algebraic variety is maximal (with respect to the Smith-Thom inequality) if the sum of the Betti numbers (with coefficients) of the real part of the variety i…