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math.CO2026
Layered mixed matrices and reaction networks
Arne Kuhrs, Máté L. Telek, Nicola Vassena
The purpose of this work is twofold. In the first part, we consider layered mixed matrices introduced by Murota, relate them to existing notions in combinatorial commutative algebr…
math.AG2026
On Bands and Limit Theorems in Tropical Geometry
Arne Kuhrs, Alejandro Martínez Méndez, Pedro Souza
We review the basic theory of bands and band schemes introduced by Baker-Jin-Lorscheid, which is an algebraic framework for tropicalization, analytification, and -geo…
math.AG2026
Scheme theory for commutative semirings
Roberto Gualdi, Arne Kuhrs, Mayo Mayo Garcia +1
In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also c…