Results 11 to 20 of about 46 (36)

Enumerative aspects of Tropical Geometry: Curves with cross-ratio constraints and Mirror Symmetry [PDF]

, 2021
In der Dissertation geht es um abzählende Probleme, die mittels tropischer Geometrie gelöst werden. Die Arbeit gliedert sich in zwei Teile. Teil 1 basiert auf den Veröffentlichungen und Vorveröffentlichungen des Autors.
Goldner, Christoph Jan
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The fundamental theorem of tropical differential algebra for formal Puiseux series

, 2023
The fundamental theorem of tropical differential algebra has been established for formal power series solutions of systems of algebraic differential equations. It has been shown that the direct extension to formal Puiseux series solutions fails.
Falkensteiner, Sebastian, Mereta, Stefano   +1 more
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Tropical convexity in location problems

, 2023
We investigate location problems whose optimum lies in the tropical convex hull of the input points. Firstly, we study geodesically star-convex sets under the asymmetric tropical distance and introduce the class of tropically quasiconvex functions whose ...
Comăneci, Andrei
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Singular matroid realization spaces

, 2023
We study smoothness of realization spaces of matroids for small rank and ground set. For $\mathbb{C}$-realizable matroids, when the rank is $3$, we prove that the realization spaces are all smooth when the ground set has $11$ or fewer elements, and there
Corey, Daniel, Luber, Dante
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Recovering a covering of schemes from Galois orbits of power series

, 2023
In this paper we study the problem of reconstructing the poset structure of a scheme using coverings. For a finite, dominant and separable morphism $X'\to{X}$ of normal, connected Noetherian schemes, we show that the poset structure of $X'$ can be ...
Helminck, Paul Alexander
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The Tropical and Zonotopal Geometry of Periodic Timetables [PDF]

The Periodic Event Scheduling Problem (PESP) is the standard mathematical tool for optimizing periodic timetables in public transport. A solution to a PESP instance consists of three parts: a periodic timetable, a periodic tension, and integer offset ...
Bortoletto, Enrico, Lindner, Niels, Masing, Berenike   +2 more
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Basics of maps from tropical cohomology to singular cohomology

, 2021
This is a continuation of our tropical approach to the Hodge conjecture. In this paper, we will construct and study basic properties of maps from tropical cohomology to singular cohomology for smooth complex projective varieties.
Mikami, Ryota
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Intersecting psi-classes on tropical Hassett spaces

, 2022
We study the intersection of tropical \(\psi\)-classes on tropical heavy/light Hassett spaces, generalising a result of Kerber-Markwig for \(M^{\operatorname{trop}}_{0, n}\).
Hahn, Marvin Anas, Li, Shiyue
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Tropical M\"obius strips and ruled surfaces

, 2023
We consider the enumeration of tropical curves in M\"obius strips for two different lattice structures and relate them to the enumeration of curves in two rational ruled surfaces over a complex elliptic curve.
Blomme, Thomas, Schleis, Victoria
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The Real Tropical Geometry of Neural Networks [PDF]

We consider a binary classifier defined as the sign of a tropical rational function, that is, as the difference of two convex piecewise linear functions. The parameter space of ReLU neural networks is contained as a semialgebraic set inside the parameter
Brandenburg, Marie Charlotte, Loho, G., Montúfar, G.   +2 more
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