Results 51 to 60 of about 102 (70)
Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve
, 2004 This is a survey of results and conjectures on mirror symmetry phenomena in the non-Abelian Hodge theory of a curve. We start with the conjecture of Hausel-Thaddeus which claims that certain Hodge numbers of moduli spaces of flat SL(n,C) and PGL(n,C ...
Hausel, Tamas
core
Higher weight spectra and Betti numbers of Reed-Muller codes $RM_q(2,2)$
44 pages, 3 appendices, 25 tablesWe determine the higher weight spectra of $q$-ary Reed-Muller codes $C_q=RM_q(2,2)$ for all prime powers $q$. This is equivalent to finding the usual weight distributions of all extension codes of $C_q$ over every field ...
Ghorpade, Sudhir R. +3 more
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On off-diagonal Ramsey numbers for vector spaces over $\mathbb{F}_{2}$
For every positive integer $d$, we show that there must exist an absolute constant $c > 0$ such that the following holds: for any integer $n \geq cd^{7}$ and any red-blue coloring of the one-dimensional subspaces of $\mathbb{F}_{2}^{n}$, there must exist
Hunter, Zach, Pohoata, Cosmin
core
Modular properties and decompositions of arithmetic matroids
, 2017 In this thesis, we introduce the concepts of Z-closure operators and Z-flat lattices of arithmetic matroids, and show that for a representable arithmetic matroid, the characteristic polynomial of the associated toric arrangement is equal to the characteristic polynomial of the associated Z-flat at lattice.
Fengwei Zhou
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Arithmetic matroids and an application to number theory
Matroids are combinatorial structures that abstract the notion of linear independence on finite sets. In their most famous examples they closely connect finite dimensional linear algebra with graph theory. In applications they are mostly regarded together with their most important invariant: the Tutte polynomial T (x, y).openaire +1 more source
Hypergraph characterization of split matroids
Journal of Combinatorial Theory - Series A, 2023Kristof Berczi +2 more
exaly
On the Ehrhart Polynomial of Schubert Matroids
Discrete and Computational Geometry, 2023Neil J Y Fan
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The excluded minors for 2- and 3-regular matroids
Journal of Combinatorial Theory Series B, 2023Nick Brettell +2 more
exaly