Publication
NORM TORI OF ETALE ALGEBRAS AND UNRAMIFIED BRAUER GROUPS
Publications associées (37)
Lattice packings through division algebras
In this text, we will show the existence of lattice packings in a family of dimensions by employing division algebras. This construction is a generalization of Venkatesh's lattice packing result Venkatesh (Int Math Res Notices 2013(7): 1628-1642, 2013). In ...
SPRINGER HEIDELBERG2023Single-cell biology: what does the future hold?
In this Editorial, our Chief Editor and members of our Advisory Editorial Board discuss recent breakthroughs, current challenges, and emerging opportunities in single-cell biology and share their vision of "where the field is headed." ...
WILEY2023On the projectivity of some moduli spaces of varieties
Quentin Arthur Frantisek Posva
This thesis is constituted of one article and three preprints that I wrote during my PhD thesis. Their common theme is the moduli theory of algebraic varieties. In the first article I study the Chow--Mumford line bundle for families of uniformly K-stable F ...
EPFL2022A finiteness result for p-adic families of Bianchi modular forms
We study p-adic families of cohomological automorphic forms for GL(2) over imaginary quadratic fields and prove that families interpolating a Zariski-dense set of classical cuspidal automorphic forms only occur under very restrictive conditions. We show ho ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Orders That Are Etale-Locally Isomorphic
Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat etale R-algebra are isomorphic. On the other hand, ...
AMER MATHEMATICAL SOC2020Characterization of flat-fielding systems for quantitative microscopy
Suliana Manley, Khalid Ashraf Mohie Ibrahim, Dora Mahecic
Optical flat-fielding systems, such as field-mapping or integration-based beam shapers, are used to transform nonuniform illumination into uniform illumination. Thus, flat-fielding paves the way for imaging that is independent of position within a field of ...
OPTICAL SOC AMER2020Orders that are étale-locally isomorphic
Eva Bayer Fluckiger, Mathieu Huruguen
Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat étale R-algebra are isomorphic. On the other hand, ...
2019Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0
Let k be an algebraically closed field of characteristic p > 0. We give a birational characterization of ordinary abelian varieties over k: a smooth projective variety X is birational to an ordinary abelian variety if and only if kappa(S)(X) = 0 and b(1)(X ...
DUKE UNIV PRESS2019Dynamics of Defects in Field-Induced Skyrmion Lattice Melting
TP4 project: My work is mainly to achieve the identification, segmentation and tracking of defects and analyze their dynamics. In detail, the positions, the motion tracks, life expectancy, velocity distribution, etc. We will determine these observables amo ...
2019Depth of field extension through polarization aberrations
This paper focuses on depth of field (DOF) extension through polarization aberrations. The addition of polarizing elements into an optical system allows to exploit the polarization of the incoming light as an additional degree of freedom in the optical sys ...
SPIE-INT SOC OPTICAL ENGINEERING2019