Publications associées (36)

Rational Points in the Noether-Lefschetz Locus of Moduli Spaces of K3 Surfaces

Domenico Valloni

We give a characterization of rational points lying on the Noether-Lefschetz locus of moduli spaces of K3 surfaces by studying their lifting properties under some natural coverings of the ambient space. We then prove that the Bombieri-Lang conjecture impli ...
Oxford Univ Press2024

Latest findings on the behaviour factor q for the seismic design of URM buildings

Katrin Beyer

Recent earthquakes as the 2012 Emilia earthquake sequence showed that recently built unreinforced masonry (URM) buildings behaved much better than expected and sustained, despite the maximum PGA values ranged between 0.20-0.30 g, either minor damage or str ...
SPRINGER2022

Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing

Soham Basu

Without resorting to complex numbers or any advanced topological arguments, we show that any real polynomial of degree greater than two always has a real quadratic polynomial factor, which is equivalent to the fundamental theorem of algebra. The proof uses ...
CAMBRIDGE UNIV PRESS2021

Two-dimensional nanochannel membranes for molecular and ionic separations

Shaoyu Wang, Guangwei He, Yifan Li, Zheyu Jiang

Two-dimensional (2D) nanosheets have emerged as promising functional materials owing to their atomic thickness and unique physical/chemical properties. By using 2D nanosheets as building blocks, diverse kinds of two-dimensional nanochannel membranes (2DNCM ...
ROYAL SOC CHEMISTRY2020

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Florian Karl Richter

A set RNR\subset \mathbb{N} is called rational if it is well approximable by finite unions of arithmetic progressions, meaning that for every \unicode[STIX]x1D716>0\unicode[STIX]{x1D716}>0 there exists a set B=i=1raiN+biB=\bigcup _{i=1}^{r}a_{i}\mathbb{N}+b_{i}, where $a_{1},\ldots ,a_ ...
2019

Presymplectic convexity and (ir)rational polytopes

Tudor Ratiu

In this paper, we extend the Atiyah-Guillemin-Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic manifolds. We also define and study the Morita equivalence of presymplectic toric manifolds and of their c ...
2019

Moving on: Is Existenzminimum Still Relevant?

Bruno Marchand

In the inter-war period, progressive architects confronted the building of mass housing with an analogy with rational and functional workplaces. At the 2nd CIAM (Congres Internationaux d'Architecture Moderne), held in Frankfurt in 1929, this was tested aga ...
2019

Rationally isomorphic hermitian forms and torsors of some non-reductive groups

Eva Bayer Fluckiger

Let R be a semilocal Dedekind domain. Under certain assumptions, we show that two (not necessarily unimodular) hermitian forms over an R-algebra with involution, which are rationally isomorphic and have isomorphic semisimple coradicals, are in fact isomorp ...
Academic Press Inc Elsevier Science2017

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