120 citations · 343 across the 55 of their papers we have counts for
6 papers · 1 filter
Counting tropical curves in : computation & polynomiality properties
Daniel Corey, Hannah Markwig, Dhruv Ranganathan
Counts of curves in with fixed contact order with the toric boundary and satisfying point conditions can be determined with tropical methods by Mik…
Tropical descendant invariants with line constraints
Thomas Blomme, Hannah Markwig
Via correspondence theorems, rational log Gromov--Witten invariants of the plane can be computed in terms of tropical geometry. For many cases, there exists a range of algorithms t…
Twisted Hurwitz numbers: Tropical and polynomial structures
Marvin Anas Hahn, Hannah Markwig
Hurwitz numbers count covers of curves satisfying fixed ramification data. Via monodromy representation, this counting problem can be transformed to a problem of counting factoriza…
Bitangents to plane quartics via tropical geometry: rationality, -enumeration, and real signed count
Hannah Markwig, Sam Payne, Kris Shaw
We explore extensions of tropical methods to arithmetic enumerative problems such as -enumeration with values in the Grothendieck-Witt ring, and rationality over Hens…
Pluricanonical cycles and tropical covers
Renzo Cavalieri, Hannah Markwig, Dhruv Ranganathan
We extract a system of numerical invariants from logarithmic intersection theory on pluricanonical double ramification cycles, and show that these invariants exhibit a number of pr…
Recovery of Plane Curves from Branch Points
Daniele Agostini, Hannah Markwig, Clemens Nollau +3
We recover plane curves from their branch points under projection onto a line. Our focus lies on cubics and quartics. These have 6 and 12 branch points respectively. The plane Hurw…