Zobrazeno 1 - 10
of 849
pro vyhledávání: '"A, Dobben"'
Autor:
de Bruyn, Remy van Dobben
This paper gives an explicit computation of the category of constructible sheaves on a toric variety (with respect to the stratification by torus orbits). Over the complex numbers, this simplifies a description due to Braden and Lunts. The same compu
Externí odkaz:
http://arxiv.org/abs/2410.06280
Autor:
de Bruyn, Remy van Dobben
Finite \'etale covers of a connected scheme $X$ are parametrised by the \'etale fundamental group via the monodromy correspondence. This was generalised to an exodromy correspondence for constructible sheaves, first in the topological setting by MacP
Externí odkaz:
http://arxiv.org/abs/2410.06278
Autor:
Árnadóttir, Arnbjörg Soffía, de Bruyn, Josse van Dobben, Kar, Prem Nigam, Roberson, David E., Zeman, Peter
Sabidussi's theorem [Duke Math. J. 28, 1961] gives necessary and sufficient conditions under which the automorphism group of a lexicographic product of two graphs is a wreath product of the respective automorphism groups. We prove a quantum version o
Externí odkaz:
http://arxiv.org/abs/2402.12344
Autor:
de Bruyn, Josse van Dobben, Kar, Prem Nigam, Roberson, David E., Schmidt, Simon, Zeman, Peter
We give a characterisation of quantum automorphism groups of trees. In particular, for every tree, we show how to iteratively construct its quantum automorphism group using free products and free wreath products. This can be considered a quantum vers
Externí odkaz:
http://arxiv.org/abs/2311.04891
We present a sequence of finite graphs with trivial automorphism group and non-trivial quantum automorphism group, which are the first known examples of graphs with this property. The examples are based on solution groups to (binary) linear systems.
Externí odkaz:
http://arxiv.org/abs/2311.04889
Autor:
de Bruyn, Josse van Dobben
Archimedean order unit (AOU) spaces have many favourable properties, so it is useful to have ways of turning a general ordered vector space into an AOU space. One such construction is given by the Archimedeanization of Paulsen and Tomforde, provided
Externí odkaz:
http://arxiv.org/abs/2204.13688
We consider a variant of metrised graphs where the edge lengths take values in a commutative monoid, as a higher-rank generalisation of the notion of a tropical curve. Divisorial gonality, which Baker and Norine defined on combinatorial graphs in ter
Externí odkaz:
http://arxiv.org/abs/2112.04205
Consider a system of $m$ balanced linear equations in $k$ variables with coefficients in $\mathbb{F}_q$. If $k \geq 2m + 1$, then a routine application of the slice rank method shows that there are constants $\beta,\gamma \geq 1$ with $\gamma < q$ su
Externí odkaz:
http://arxiv.org/abs/2111.09879
Autor:
Wamelink, G.W.W., Goedhart, P.W., Roelofsen, H.D., Bobbink, R., Posch, M., van Dobben, H.F., Biurrun, I., Bonari, G., Dengler, J., Dítě, D., Garbolino, E., Jansen, J., Jašková, A.K., Lenoir, J., Peterka, T.
Publikováno v:
In Environmental Pollution 15 May 2024 349
This paper compares the divisorial gonality of a finite graph $G$ to the divisorial gonality of the associated metric graph $\Gamma(G,\mathbb{1})$ with unit lengths. We show that $\text{dgon}(\Gamma(G,\mathbb{1}))$ is equal to the minimal divisorial
Externí odkaz:
http://arxiv.org/abs/2106.12568