215 citations · 640 across the 23 of their papers we have counts for
Showing 2015 · math.AGShow all
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math.AG2015★ 1 cited
A specialization inequality for tropical complexes
Dustin Cartwright
We prove a specialization inequality relating the dimension of the complete linear series on a variety to the tropical complex of a regular semistable degeneration. Our result exte…
math.AG2015
Excluded homeomorphism types for dual complexes of surfaces
Dustin Cartwright
We study an obstruction to prescribing the dual complex of a strict semistable degeneration of an algebraic surface. In particular, we show that if is a complex homeomorphic to…
math.AG2015★ 14 cited
Lifting matroid divisors on tropical curves
Dustin Cartwright
Tropical geometry gives a bound on the ranks of divisors on curves in terms of the combinatorics of the dual graph of a degeneration. We show that for a family of examples, curves…