29 citations · 106 across the 10 of their papers we have counts for
14 papers
Tropical subrepresentations of the boolean regular representation in low dimension
Steffen Marcus, Cameron Phillips
We study two dimensional and three dimensional tropical subrepresentations of the regular representation of a finite group over the tropical booleans, utilizing the…
Tropical pseudostable curves
Renzo Cavalieri, Steffen Marcus, Jonathan Wise
We study the tropical version of the contraction morphism between moduli spaces of stable and pseudostable curves. By promoting to a logarithmic morphis…
Two-vertex generators of Jacobians of graphs
David Brandfonbrener, Pat Devlin, Netanel Friedenberg +4
We give necessary and sufficient conditions under which the Jacobian of a graph is generated by a divisor that is the difference of two vertices. This answers a question posed by B…
Topology of tropical moduli of weighted stable curves
Alois Cerbu, Steffen Marcus, Luke Peilen +2
The moduli space of tropical -weighted stable curves of volume is naturally identified with the dual complex of the divisor of singular curves in Hassett's spaces…
Logarithmic compactification of the Abel-Jacobi section
Steffen Marcus, Jonathan Wise
Given a smooth curve with weighted marked points, the Abel-Jacboi map produces a line bundle on the curve. This map fails to extend to the full boundary of the moduli space of stab…
Clutching and gluing in tropical and logarithmic geometry
Alana Huszar, Steffen Marcus, Martin Ulirsch
The classical clutching and gluing maps between the moduli stacks of stable marked algebraic curves are not logarithmic, i.e. they do not induce morphisms over the category of loga…