Homology of tropical fans
O Amini, M Piquerez - arXiv preprint arXiv:2105.01504, 2021 - arxiv.org
The aim of this paper is to study homological properties of tropical fans and to propose a
notion of smoothness in tropical geometry, which goes beyond matroids and their Bergman …
notion of smoothness in tropical geometry, which goes beyond matroids and their Bergman …
On projective wonderful models for toric arrangements and their cohomology
C De Concini, G Gaiffi, O Papini - European Journal of Mathematics, 2020 - Springer
This paper is divided into two parts. The first part is a brief survey, accompanied by concrete
examples, on the main results of the papers (De Concini and Gaiffi in Adv Math 327: 390 …
examples, on the main results of the papers (De Concini and Gaiffi in Adv Math 327: 390 …
G-Tutte Polynomials and Abelian Lie Group Arrangements
For a list of elements in a finitely generated abelian group and an abelian group, we
introduce and study an associated-Tutte polynomial, defined by counting the number of …
introduce and study an associated-Tutte polynomial, defined by counting the number of …
[HTML][HTML] Two examples of toric arrangements
R Pagaria - Journal of Combinatorial Theory, Series A, 2019 - Elsevier
Two examples of toric arrangements - ScienceDirect Skip to main contentSkip to article Elsevier
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
[HTML][HTML] Orientable arithmetic matroids
R Pagaria - Discrete Mathematics, 2020 - Elsevier
Orientable arithmetic matroids - ScienceDirect Skip to main contentSkip to article Elsevier
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
Equivariant Burnside groups and toric varieties
A Kresch, Y Tschinkel - Rendiconti del Circolo Matematico di Palermo …, 2023 - Springer
Equivariant Burnside groups and toric varieties | Rendiconti del Circolo Matematico di Palermo
Series 2 Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
Series 2 Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
Stanley–Reisner rings for symmetric simplicial complexes, -semimatroids and Abelian arrangements
A D'ali, E Delucchi - Journal of Combinatorial Algebra, 2021 - ems.press
We extend the notion of face rings of simplicial complexes and simplicial posets to the case
of finite-length (possibly infinite) simplicial posets with a group action. The action on the …
of finite-length (possibly infinite) simplicial posets with a group action. The action on the …
Combinatorial generators for the cohomology of toric arrangements
F Callegaro, E Delucchi - Topology and its Applications, 2024 - Elsevier
Combinatorial generators for the cohomology of toric arrangements - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Help Search My account Sign in …
main contentSkip to article Elsevier logo Journals & Books Help Search My account Sign in …
Finitary affine oriented matroids
E Delucchi, K Knauer - Discrete & Computational Geometry, 2024 - Springer
We initiate the axiomatic study of affine oriented matroids (AOMs) on arbitrary ground sets,
obtaining fundamental notions such as minors, reorientations and a natural embedding into …
obtaining fundamental notions such as minors, reorientations and a natural embedding into …
Representations of weakly multiplicative arithmetic matroids are unique
M Lenz - Annals of Combinatorics, 2019 - Springer
An arithmetic matroid is weakly multiplicative if the multiplicity of at least one of its bases is
equal to the product of the multiplicities of its elements. We show that if such an arithmetic …
equal to the product of the multiplicities of its elements. We show that if such an arithmetic …