Abelian tropical covers
1 Abelian tropical covers Page 1 Math. Proc. Camb. Phil. Soc.: page 1 of 22 1 doi:10.1017/S0305004123000518
Abelian tropical covers BY YOAV LEN Mathematical Institute, University of St Andrews, St …
Abelian tropical covers BY YOAV LEN Mathematical Institute, University of St Andrews, St …
Invariants for trees of non-archimedean polynomials and skeleta of superelliptic curves
PA Helminck - Mathematische Zeitschrift, 2022 - Springer
In this paper we generalize the j-invariant criterion for the semistable reduction type of an
elliptic curve to superelliptic curves X given by y^ n= f (x) yn= f (x). We first define a set of …
elliptic curve to superelliptic curves X given by y^ n= f (x) yn= f (x). We first define a set of …
Tropicalizing abelian covers of algebraic curves
PA Helminck - arXiv preprint arXiv:1703.03067, 2017 - arxiv.org
In this thesis, we study the Berkovich skeleton of an algebraic curve over a discretely valued
field $ K $. We do this using coverings $ C\rightarrow {\mathbb {P}^{1}} $ of the projective …
field $ K $. We do this using coverings $ C\rightarrow {\mathbb {P}^{1}} $ of the projective …
A generalization of the Newton-Puiseux algorithm for semistable models
PA Helminck - arXiv preprint arXiv:2007.09449, 2020 - arxiv.org
In this paper we give an algorithm that calculates the skeleton of a tame covering of curves
over a complete discretely valued field. The algorithm relies on the {{tame simultaneous …
over a complete discretely valued field. The algorithm relies on the {{tame simultaneous …
Tropical double ramification loci
M Ulirsch, D Zakharov - arXiv preprint arXiv:1910.01499, 2019 - arxiv.org
Motivated by the realizability problem for principal tropical divisors with a fixed ramification
profile, we explore the tropical geometry of the double ramification locus in $\mathcal {M} …
profile, we explore the tropical geometry of the double ramification locus in $\mathcal {M} …
[图书][B] Tropical Geometry of Curves
MV Brandt - 2020 - search.proquest.com
Algebraic geometry is a classical subject which studies shapes arising as zero sets of
polynomial equations. Such objects, called varieties, may be quite complicated but many …
polynomial equations. Such objects, called varieties, may be quite complicated but many …
Tropicalizing tame degree three coverings of the projective line
PA Helminck - arXiv preprint arXiv:1711.07034, 2017 - arxiv.org
In this paper, we study the problem of tropicalizing tame degree three coverings of the
projective line. Given any degree three covering $ C\longrightarrow {\mathbb {P}^{1}} $, we …
projective line. Given any degree three covering $ C\longrightarrow {\mathbb {P}^{1}} $, we …
[HTML][HTML] Erratum for" Tropical superelliptic curves"
M Brandt, PA Helminck - Advances in Geometry, 2023 - degruyter.com
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Torsion points on elliptic curves and tame semistable coverings
PA Helminck - arXiv preprint arXiv:1803.00079, 2018 - arxiv.org
In this paper, we study tame Galois coverings of semistable models that arise from torsion
points on elliptic curves. These coverings induce Galois morphisms of intersection graphs …
points on elliptic curves. These coverings induce Galois morphisms of intersection graphs …