1 citations · 1 across the 9 of their papers we have counts for
10 papers
Integral closure for (additively idempotent) semirings
Netanel Friedenberg, Kalina Mincheva
In commutative ring theory there are multiple equivalent definitions of integrality. These notions diverge when working with idempotent semirings. In this paper we present these di…
Geometric classification of primes modulo a (bend) congruence
Netanel Friedenberg, Kalina Mincheva
In this paper we continue the program to develop the algebraic foundations of tropical (algebraic) geometry. We give strong characterizations of prime congruences containing a give…
Geometric interpretation of valuated term (pre)orders
Netanel Friedenberg, Kalina Mincheva
Valuated term orders are studied for the purposes of Gröbner theory over fields with valuation. The points of a usual tropical variety correspond to certain valuated terms preorder…
A construction of algebraizable formal models
Desmond Coles, Netanel Friedenberg
Let be a variety over a complete nontrivially valued field . We construct an algebraizable formal model for the analytification of in the case admits a closed embedd…
Locally finite completions of polyhedral complexes
Desmond Coles, Netanel Friedenberg
We develop a method for subdividing polyhedral complexes in a way that restricts the possible recession cones and allows one to work with a fixed class of polyhedron. We use these…
Tropical adic spaces I: The continuous spectrum of a topological semiring
Netanel Friedenberg, Kalina Mincheva
Towards building tropical analogues of adic spaces, we study certain spaces of prime congruences as a topological semiring replacement for the space of continuous valuations on a t…
Normal completions of toric varieties over rank one valuation rings and completions of -admissible fans
Netanel Friedenberg
We show that any normal toric variety over a rank one valuation ring admits an equivariant open embedding in a normal toric variety which is proper over the valuation ring, after a…
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…
Minkowski sums and Hadamard products of algebraic varieties
Netanel Friedenberg, Alessandro Oneto, Robert L. Williams
We study Minkowski sums and Hadamard products of algebraic varieties. Specifically we explore when these are varieties and examine their properties in terms of those of the origina…
An Elementary Eigenvalue Criterion for One-Parameter Dilation Groups to Admit a Continuous Wavelet
Netanel Friedenberg, Peter M. Luthy, Guido L. Weiss
In this article, we present a simple criterion for checking whether a one-parameter matrix group of dilations admits a continuous wavelet. This criterion involves only checking tha…