Concept

List of complex and algebraic surfaces

Related publications (11)

MMP for Enriques pairs and singular Enriques varieties

We introduce and study the class of primitive Enriques varieties, whose smooth members are Enriques manifolds. We provide several examples and we demonstrate that this class is preserved under the operations of the Minimal Model Program (MMP). In particular, given an Enriques manifold Y and an effective ℝ -divisor B Y on Y such that the pair ( Y , B Y ) is log canonical, we prove that any ( K Y + B Y ) -MMP terminates with a minimal model ( Y ′ , B Y ′ ) of ( Y , B Y ) , where Y ′ is a ℚ -factorial primitiv

MathDoc/Centre Mersenne2026

Multiscale Modeling of Frictional Behavior at Rough Contact Interfaces

Friction, lubrication, and wear are responsible for significant energy losses across transportation, industrial, and utility sectors. In metal forming, controlling friction is essential both for reducing energy consumption and for improving the manufacturability of challenging components. For example, in deep drawing, a widely used sheet metal forming process where the punch gradually pulls a blank sheet into the die cavity, friction must not be too high, to allow material flow, but also not too low, to pre

EPFL2026

$K3$ surfaces with maximal complex multiplication

Let X be a complex projective K3 surface having complex multiplication by a CM field E , and let T_{X} be its transcendental lattice. We say that X has maximal complex multiplication if \mathrm{End}{\mathrm{Hdg}}(T{X}) is the ring of integers of E .For which CM fields E does such a K3 surface exist? What are the possibilities for the transcendental lattices, Picard lattices of these surfaces? The aim of this paper is to study these questions and give some examples.

European Mathematical Society - EMS - Publishing House GmbH2025

Turbulence-induced Safety Factor Profile Flattening at Rational Surfaces in Tokamaks with Low Magnetic Shear

Stephan Brunner

In this paper, we investigate the effects of ion-scale turbulence-generated currents on the local safety factor profile under conditions of low magnetic shear and proximity to rational surfaces, relevant to internal transport barrier formation. Our results show that turbulent currents can generate stationary zonal magnetic potential corrugations, producing a stepped safety factor profile with extended regions of zero magnetic shear. This change significantly affects turbulence self-interaction, resulting in

IOP Publishing Ltd2025

The singular set of minimal surfaces near polyhedral cones

We adapt the method of Simon [26] to prove a C1;α-regularity theorem for minimal varifolds which resemble a cone C20 over an equiangular geodesic net. For varifold classes admitting a "nohole" condition on the singular set, we additionally establish C1; α- regularity near the cone C20 xRm. Combined with work of Allard [2], Simon [26], Taylor [29], and Naber-Valtorta [21], our result implies a C1; α-structure for the top three strata of minimizing clusters and size-minimizing currents, and a Lipschitz struct

International Press2022

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

Let f(z)=q+∑n≥2a(n)qn be a weight k normalized newform with integer coefficients and trivial residual mod 2 Galois representation. We extend the results of Amir and Hong in Amir and Hong (On L-functions of modular elliptic curves and certain K3 surfaces, R ...

2021

Electronic structure of InAs and InSb surfaces: density functional theory and angle-resolved photoemission spectroscopy

The electronic structure of surfaces plays a key role in the properties of quantum devices. However, surfaces are also the most challenging to simulate and engineer. Here, we study the electronic structure of InAs(001), InAs(111), and InSb(110) surfaces using a combination of density functional theory (DFT) and angle-resolved photoemission spectroscopy (ARPES). We were able to perform large-scale first principles simulations and capture effects of different surface reconstructions by using DFT calculations

Cornell University2020

Fractal surfaces in adhesive wear processes

Wear of materials plays a key role in the durability of manifactured objects and it has thus an economical importance in our society. In spite of the efforts, a unified picture of the underlying physics of the phenomenon is still far from being reached, because of the numerous mechanisms and processes that constitute the complexity of wear. Moving one step closer to the understanding of the physics of wear would mean enhancing our understanding of all the related fields that it affects, like friction and co

2018

Mechanical analyses of the waveguide flange coupling for the first confinement system of the ITER electron cyclotron upper launcher

Timothy Goodman, René Chavan, Jean-Daniel Landis, Robert Bertizzolo

The four electron cyclotron (EC) upper port antennas (or "upper launchers" -UL) will be used to drive current locally inside magnetic islands located at the q= 2 (or smaller) rational surfaces in order to stabilize neoclassical tearing modes (NTMs), as wel ...

Elsevier Science Sa2016

Assessment of the ITER EC Upper Launcher Performance

Olivier Sauter, Timothy Goodman

The 24 MW ITER Electron Cyclotron (EC) Heating and Current Drive (H&CD) system, operating at 170 GHz, consists of one Equatorial (EL) and four Upper Launchers (UL). The main task of the UL will be the control of Magneto-Hydrodynamic (MHD) activity such as ...

E D P Sciences2015

Effects of central electron cyclotron power on plasma rotation and on triggerless onset of NTMs in the TCV tokamak

Olivier Sauter, Basil Duval, Duccio Testa, Holger Reimerdes, Alexander Karpushov, Doohyun Kim, Dávid Wágner, Lucia Isabel Federspiel, Jonathan Rossel

Experiments on the TCV tokamak show that high power central electron cyclotron heating (ECH) and current drive (ECCD) produce significant direct modification of the plasma rotation profile, as well as the effect on the equilibrium current density. These ef ...

IOP Publishing Ltd2015

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