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pro vyhledávání: '"Maria Angelica Cueto"'
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
Autor:
Hannah Markwig, Maria Angelica Cueto
Publikováno v:
Experimental Mathematics
Tropical geometry is sensitive to embeddings of algebraic varieties inside toric varieties. The purpose of this paper is to advertise tropical modifications as a tool to locally repair bad embeddings of plane curves, allowing the re-embedded tropical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::159263c4cade43519404d3c109141069
https://hdl.handle.net/21.11116/0000-0004-0EFF-F21.11116/0000-0004-0F01-B21.11116/0000-0004-0F02-A
https://hdl.handle.net/21.11116/0000-0004-0EFF-F21.11116/0000-0004-0F01-B21.11116/0000-0004-0F02-A
This volume contains the proceedings of the CIEM workshop on Tropical Geometry, held December 12–16, 2011, at the International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain. Tropical geometry is a new and rapidly developing field
Publikováno v:
From Classical to Modern Algebraic Geometry ISBN: 9783319329925
In this paper we present an effective method for linearizing rational varieties of codimension at least two under Cremona transformations, starting from a given parametrization. Using these linearizing Cremonas, we simplify the equations of secant an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b42de1ef5d83058e034f4444b13189b
http://arxiv.org/abs/1403.1814
http://arxiv.org/abs/1403.1814
We show that the tropical projective Grassmannian of planes is homeomorphic to a closed subset of the analytic Grassmannian in Berkovich's sense by constructing a continuous section to the tropicalization map. Our main tool is an explicit description
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b44258f429ac1414859b64977a0c2850
Publikováno v:
The Electronic Journal of Combinatorics. 18
The nodes of the de Bruijn graph B(d,3) consist of all strings of length 3, taken from an alphabet of size d, with edges between words which are distinct substrings of a word of length 4. We give an inductive characterization of the maximum independe
We use tropical geometry to compute the multidegree and Newton polytope of the hypersurface of a statistical model with two hidden and four observed binary random variables, solving an open question stated by Drton, Sturmfels and Sullivant in "Lectur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84e986c97f944089d2acab1bf50c1615
http://arxiv.org/abs/1006.1384
http://arxiv.org/abs/1006.1384
Autor:
Maria Angelica Cueto, Shaowei Lin
Publikováno v:
Discrete Mathematics & Theoretical Computer Science.
We construct and study an embedded weighted balanced graph in $\mathbb{R}^{n+1}$ parametrized by a strictly increasing sequence of $n$ coprime numbers $\{ i_1, \ldots, i_n\}$, called the $\textit{tropical secant surface graph}$. We identify it with t
Autor:
Maria Angelica Cueto
We study tree metrics that can be realized as a mixture of two star tree metrics. We prove that the only trees admitting such a decomposition are the ones coming from a tree with at most one internal edge, and whose weight satisfies certain linear in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b39d6eda973770d3cba38ae806e69a8