Zobrazeno 1 - 10
of 220
pro vyhledávání: '"Vermeulen, Floris"'
Cluckers and Lipshitz have shown that real closed fields equipped with real analytic structure are o-minimal. This generalizes the well-known subanalytic structure $\mathbb{R}_{\mathrm{an}}$ on the real numbers. We extend this line of research by inv
Externí odkaz:
http://arxiv.org/abs/2401.10758
Autor:
Vermeulen, Floris
We prove uniform upper bounds on the number of integral points of bounded height on affine varieties. If $X$ is an irreducible affine variety of degree $d\geq 4$ in $\mathbb{A}^n$ which is not the preimage of a curve under a linear map $\mathbb{A}^n\
Externí odkaz:
http://arxiv.org/abs/2311.05433
Autor:
Vermeulen, Floris
Let $\varphi: C\to \mathbb{P}^1$ be a degree $d$ cover of curves. In work by Castryck, Zhao and the author, we showed how one can attach to each partition $\lambda$ of $d$ a multi-set of scrollar invariants of $\lambda$ with respect to $\varphi$. We
Externí odkaz:
http://arxiv.org/abs/2306.05269
Autor:
Vermeulen, Floris
Let $K$ and $K'$ be arithmetically equivalent number fields, both of degree $d$. We prove that $K$ and $K'$ have the same successive minima, up to a constant depending only on $d$. We give examples showing that one cannot expect equality.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2206.13855
Autor:
Vermeulen, Floris
Recently, Cluckers, Halupczok and Rideau-Kikuchi developed a new axiomatic framework for tame non-Archimedean geometry, called Hensel minimality. It was extended to mixed characteristic together with the author. Hensel minimality aims to mimic o-mini
Externí odkaz:
http://arxiv.org/abs/2204.04158
Autor:
Faber, Xander, Vermeulen, Floris
A smooth geometrically connected curve over the finite field $\mathbb{F}_q$ with gonality $\gamma$ has at most ${\gamma(q+1)}$ rational points. The first author and Grantham conjectured that there exist curves of every sufficiently large genus with g
Externí odkaz:
http://arxiv.org/abs/2202.12969
We give an explicit minimal graded free resolution, in terms of representations of the symmetric group $S_d$, of a Galois-theoretic configuration of $d$ points in $\mathbb{P}^{d-2}$ that was studied by Bhargava in the context of ring parametrizations
Externí odkaz:
http://arxiv.org/abs/2201.06322
Autor:
Vermeulen, Floris Nicholas
This paper analyses the opposing views regarding the presence or absence of the Sikil at Dor in Palestine during Early Iron Age 1. Textual sources claim that the Sikil were pirates who came from the west and settled in Cyprus. Egyptian sources point
Externí odkaz:
http://hdl.handle.net/10500/1719
Autor:
VERMEULEN, Floris
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2023 Jan 01. 35(1), 135-149.
Externí odkaz:
https://www.jstor.org/stable/48728093
