Zobrazeno 1 - 10
of 187
pro vyhledávání: '"Hannah Markwig"'
We explore extensions of tropical methods to arithmetic enumerative problems such as $\mathbb{A}^1$-enumeration with values in the Grothendieck-Witt ring, and rationality over Henselian valued fields, using bitangents to plane quartics as a test case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f44cbc72d69b0590bec9074b9176386
http://arxiv.org/abs/2207.01305
http://arxiv.org/abs/2207.01305
Publikováno v:
The Electronic Journal of Combinatorics. 29
We study the moduli space of $d$-dimensional linear subspaces contained in a fixed $(d+1)$-dimensional linear variety $X$, and its tropicalization. We prove that these moduli spaces are linear subspaces themselves, and thus their tropicalization is c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f04cf7da51339bd69b2f4348fb6d865b
https://doi.org/10.37236/10674
https://doi.org/10.37236/10674
Publikováno v:
Oberwolfach Reports. 16:1245-1308
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57cf1ed1040928e2f6b708890e94a53d
https://doi.org/10.4171/owr/2019/21
https://doi.org/10.4171/owr/2019/21
Publikováno v:
Forum of Mathematics, Sigma, Vol 4 (2016)
We study moduli spaces of rational weighted stable tropical curves, and their connections with Hassett spaces. Given a vector $w$ of weights, the moduli space of tropical $w$ -stable curves can be given the structure of a balanced fan if and only i
Externí odkaz:
https://doaj.org/article/305b2109b4c840228734f12a41cd518f
Autor:
Yoav Len, Hannah Markwig
Publikováno v:
Journal of Symbolic Computation. 96:122-152
We study lifts of tropical bitangents to the tropicalization of a given complex algebraic curve together with their lifting multiplicities. Using this characterization, we show that generically all the seven bitangents of a smooth tropical plane quar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15f9c4a8b247538dbe94e12c22cd1c11
https://doi.org/10.1016/j.jsc.2019.02.015
https://doi.org/10.1016/j.jsc.2019.02.015
Publikováno v:
International Mathematics Research Notices. 2021:8946-8976
Brodsky, Joswig, Morrison and Sturmfels showed that not all abstract tropical curves of genus $3$ can be realized as a tropicalization of a quartic in the euclidean plane. In this article, we focus on the interior of the maximal cones in the moduli s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7dc7bf486200664afbb51ffe501112b8
https://doi.org/10.1093/imrn/rnz084
https://doi.org/10.1093/imrn/rnz084
This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions in enumerative geometry of
Autor:
Maria Angelica Cueto, Hannah Markwig
Publikováno v:
Journal of Algebra. 517:457-512
We exploit three classical characterizations of smooth genus two curves to study their tropical and analytic counterparts. First, we provide a combinatorial rule to determine the dual graph of each algebraic curve and the metric structure on the asso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::715b02de81846b23a67c5cf6bb17a3ef
https://doi.org/10.1016/j.jalgebra.2018.08.034
https://doi.org/10.1016/j.jalgebra.2018.08.034
Publikováno v:
Algebraic Geometry: Salt Lake City 2015. :139-167
We explore the explicit relationship between the descendant Gromov--Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/tropical correspondence theorem for descendant invariants and give an algo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7456d8eb1ef3f1367547ee974a2516f2
https://doi.org/10.1090/pspum/097.2/05
https://doi.org/10.1090/pspum/097.2/05
Publikováno v:
Transactions of the American Mathematical Society; Jan2025, Issue 1, p117-158, 42p