43 citations · 51 across the 3 of their papers we have counts for
3 papers
math.AG2011★ 7 cited
Universal families of rational tropical curves
Georges Francois, Simon Hampe
We introduce the notion of families of n-marked smooth rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classe…
math.AG2011★ 1 cited
Cocycles on tropical varieties via piecewise polynomials
Georges Francois
We use piecewise polynomials to define tropical cocycles generalising the well-known notion of tropical Cartier divisors to higher codimensions. Groups of cocycles are tropical ana…
math.AG2010★ 43 cited
The diagonal of tropical matroid varieties and cycle intersections
Georges Francois, Johannes Rau
We define an intersection product of tropical cycles on matroid varieties (via cutting out the diagonal) and show that it is well-behaved. In particular, this enables us to interse…