Brief introduction to tropical geometry
E Brugallé, I Itenberg, G Mikhalkin, K Shaw - arXiv preprint arXiv …, 2015 - arxiv.org
The paper consists of lecture notes for a mini-course given by the authors at the G\" okova
Geometry\& Topology conference in May 2014. We start the exposition with tropical curves …
Geometry\& Topology conference in May 2014. We start the exposition with tropical curves …
Real tropicalization and analytification of semialgebraic sets
Let be a real closed field with a nontrivial non-archimedean absolute value. We study a
refined version of the tropicalization map, which we call real tropicalization map, that takes …
refined version of the tropicalization map, which we call real tropicalization map, that takes …
Monodromy filtrations and the topology of tropical varieties
Monodromy Filtrations and the Topology of Tropical Varieties Page 1 Canad. J. Math. Vol. 64
(4), 2012 pp. 845–868 http://dx.doi.org/10.4153/CJM-2011-067-9 c Canadian Mathematical …
(4), 2012 pp. 845–868 http://dx.doi.org/10.4153/CJM-2011-067-9 c Canadian Mathematical …
Constructing smooth and fully faithful tropicalizations for Mumford curves
P Jell - Selecta Mathematica, 2020 - Springer
The tropicalization of an algebraic variety X is a combinatorial shadow of X, which is
sensitive to a closed embedding of X into a toric variety. Given a good embedding, the …
sensitive to a closed embedding of X into a toric variety. Given a good embedding, the …
On a two-parameter family of tropical Edwards curves
H Nakamura, RS Tarmidi - arXiv preprint arXiv:2307.02093, 2023 - arxiv.org
In this paper, a certain two-parameter family of plane-embeddings of Edwards elliptic curve
$ E_a: x^ 2+ y^ 2= a^ 2 (1+ x^ 2y^ 2) $ is introduced to provide explicitly computed tropical …
$ E_a: x^ 2+ y^ 2= a^ 2 (1+ x^ 2y^ 2) $ is introduced to provide explicitly computed tropical …
Note on smoothness condition on tropical elliptic curves of symmetric truncated cubic forms
RS Tarmidi - arXiv preprint arXiv:2307.04979, 2023 - arxiv.org
arXiv:2307.04979v1 [math.AG] 11 Jul 2023 Page 1 arXiv:2307.04979v1 [math.AG] 11 Jul
2023 Note on smoothness condition on tropical elliptic curves of symmetric truncated cubic …
2023 Note on smoothness condition on tropical elliptic curves of symmetric truncated cubic …
Tropical dynamics of area-preserving maps
S Filip - arXiv preprint arXiv:1903.00794, 2019 - arxiv.org
arXiv:1903.00794v1 [math.DS] 2 Mar 2019 Page 1 TROPICAL DYNAMICS OF AREA-PRESERVING
MAPS SIMION FILIP March 2018 Dedicated to the memory of Bill Veech Abstract. We …
MAPS SIMION FILIP March 2018 Dedicated to the memory of Bill Veech Abstract. We …
Effective faithful tropicalizations and embeddings for abelian varieties
S Kawaguchi, K Yamaki - arXiv preprint arXiv:2412.18192, 2024 - arxiv.org
Let $ A $ be an abelian variety over an algebraically closed field $ k $ that is complete with
respect to a nontrivial nonarchimedean absolute value. Let $ A^{\mathrm {an}} $ denote the …
respect to a nontrivial nonarchimedean absolute value. Let $ A^{\mathrm {an}} $ denote the …
Faithful tropicalizations of elliptic curves using minimal models and inflection points
PA Helminck - Arnold Mathematical Journal, 2019 - Springer
We give an elementary proof of the fact that any elliptic curve E over an algebraically closed
non-archimedean field K with residue characteristic ≠ 2, 3≠ 2, 3 and with v (j (E))< 0 v (j …
non-archimedean field K with residue characteristic ≠ 2, 3≠ 2, 3 and with v (j (E))< 0 v (j …
[图书][B] Effective faithful tropicalizations associated to linear systems on curves
S Kawaguchi, K Yamaki - 2021 - ams.org
For a connected smooth projective curve $ X $ of genus $ g $, global sections of any line
bundle $ L $ with $\deg (L)\geq 2g+ 1$ give an embedding of the curve into projective …
bundle $ L $ with $\deg (L)\geq 2g+ 1$ give an embedding of the curve into projective …