Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Diane Maclagan"'
Autor:
Diane Maclagan, Felipe Rincón
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
We introduce and study a special class of ideals over the semiring of tropical polynomials, which we calltropical ideals, with the goal of developing a useful and solid algebraic foundation for tropical geometry. We exploretheir rich combinatorial st
Externí odkaz:
https://doaj.org/article/4941703c466545d69100197ee3bd7b52
Publikováno v:
Oberwolfach Reports. 19:861-927
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::555c93b691236251c18faa4ae13eb85e
https://doi.org/10.4171/owr/2022/17
https://doi.org/10.4171/owr/2022/17
Autor:
Diane Maclagan, Felipe Rincón
Tropical ideals, introduced in arXiv:1609.03838, define subschemes of tropical toric varieties. We prove that the top-dimensional parts of their varieties are balanced polyhedral complexes of the same dimension as the ideal. This means that every sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e1167453374a4fb096bb06d4ffd95ec
Autor:
Diane Maclagan, Andrew J. Chan
Publikováno v:
Mathematics of Computation. 88:467-483
Let K be a field with a valuation and let S be the polynomial ring S := K[x1; : : : ; xn]. We discuss the extension of Gröbner theory to ideals in S, taking the valuations of coefficients into account, and describe the Buchberger algorithm in this c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ebcf64b8c8ad5c30fd6ff8a769826ae
https://doi.org/10.1090/mcom/3321
https://doi.org/10.1090/mcom/3321
Autor:
Josephine Yu, Diane Maclagan
We show that the tropicalization of an irreducible d-dimensional variety over a field of characteristic 0 is (d-l)-connected through codimension one, where l is the dimension of the lineality space of the tropicalization. From this we obtain a higher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00a53d89bb77d0b74d39a0650e8d1677
Autor:
Diane Maclagan, Bernd Sturmfels
Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum
Autor:
Felipe Rincón, Diane Maclagan
Publikováno v:
Discrete Mathematics and Theoretical Computer Science
28-th International Conference on Formal Power Series and Algebraic Combinatorics
28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada
28-th International Conference on Formal Power Series and Algebraic Combinatorics
28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada
We introduce and study a special class of ideals, called tropical ideals, in the semiring of tropical polynomials, with the goal of developing a useful and solid algebraic foundation for tropical geometry. The class of tropical ideals strictly includ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c15446aab009b876e5f167b826b4a2d
https://hal.archives-ouvertes.fr/hal-02168123/document
https://hal.archives-ouvertes.fr/hal-02168123/document
Publikováno v:
Journal of Algebra. 316:514-535
In this paper we introduce several computational techniques for the study of moduli spaces of McKay quiver representations, making use of Grobner bases and toric geometry. For a finite abelian group G ⊂ GL ( n , k ) , let Y θ be the coherent compo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::325ce57dd5f3586e087a279f30934a39
https://doi.org/10.1016/j.jalgebra.2007.02.014
https://doi.org/10.1016/j.jalgebra.2007.02.014
Publikováno v:
Oberwolfach Reports. :2283-2320
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::519014f535b2a1fb67a3af6ba988e316
https://doi.org/10.4171/owr/2007/39
https://doi.org/10.4171/owr/2007/39
Autor:
Diane Maclagan, Bernd Sturmfels
Publikováno v:
Introduction to Tropical Geometry
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf4c54bfd9c1c9da8f020c62fc2372d8
https://doi.org/10.1090/gsm/161/04
https://doi.org/10.1090/gsm/161/04