67 citations · 68 across the 3 of their papers we have counts for
4 papers · 1 filter
Patchworking the Log-critical locus of planar curves
Lionel Lang, Arthur Renaudineau
We establish a patchworking theorem à la Viro for the Log-critical locus of algebraic curves in . As an application, we prove the existence of projective curves o…
On the number of intersection points of the contour of an amoeba with a line
Lionel Lang, Boris Shapiro, Eugenii Shustin
In this note, we investigate the maximal number of intersection points of a line with the contour of hypersurface amoebas in . We define the latter number to be the $…
Monodromy of rational curves on toric surfaces
Lionel Lang
For an ample line bundle on a complete toric surface , we consider the subset of irreducible, nodal, rational cur…
Sparse polynomial equations and other enumerative problems whose Galois groups are wreath products
Alexander Esterov, Lionel Lang
We introduce a new technique to prove connectivity of subsets of covering spaces (so called inductive connectivity), and apply it to Galois theory of problems of enumerative geomet…