Publications related to Weakly special test configurations of log canonical Fano varieties

Related publications (8)

EQUITY AND EXAMINATION TIME PRESSURE IN FIRST YEAR MATHEMATICS FOR ENGINEERS

Roland John Tormey, Simone Deparis, Cécile Hardebolle, Alexandra Corina Niculescu

The 'gender mathematics gap' which persists in many countries means that women students may, on average, have less high school preparation in mathematics than men students entering engineering education. This in turn could impact their performance in first ...

European Society for Engineering Education (SEFI)2024

Vanishing Theorems for Three-folds in Characteristic p > 5

Fabio Bernasconi

We prove Grauert-Riemenschneider-type vanishing theorems for excellent divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of positive characteristic p > 5. Then we discuss applications to dlt singularities and to Mor ...

2023

A classical S-2 spin system with discrete out-of-plane anisotropy: Variational analysis at surface and vortex scalings

Matthias Benjamin Ruf

We consider a classical Heisenberg system of S-2 spins on a square lattice of spacing epsilon. We introduce a magnetic anisotropy by constraining the out-of-plane component of each spin to take only finitely many values. Computing the Gamma-limit of a suit ...

2023

Optimal destabilization of K-unstable Fano varieties via stability thresholds

Chuyu Zhou

We show that for a K-unstable Fano variety, any divisorial valuation computing its stability threshold induces a nontrivial special test configuration preserving the stability threshold. When such a divisorial valuation exists, we show that the Fano variet ...

2022

Semiampleness For Calabi-Yau Surfaces In Positive And Mixed Characteristic

Fabio Bernasconi

In this note, we prove the semiampleness conjecture for Kawamata log terminal Calabi-Yau (CY) surface pairs over an excellent base ring. As applications, we deduce that generalized abundance and Serrano's conjecture hold for surfaces. Finally, we study the ...

2022

Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids

François Marie Alain Demoures

We present a geometric variational discretization of nonlinear elasticity in 2D and 3D in the Lagrangian description. A main step in our construction is the definition of discrete deformation gradients and discrete Cauchy-Green deformation tensors, which a ...

SPRINGER2022

A splitting method for the numerical simulation of free surface flows with sediment deposition and resuspension

Marco Picasso, Arwa Mrad

We present a numerical model for the simulation of 3D sediment transport in a Newtonian flow with free surfaces. The Navier-Stokes equations are coupled with the transport, deposition, and resuspension of the particle concentrations, and a volume-of-fluid ...

WILEY2022

A study of the double pendulum using polynomial optimization

Jeremy Peter Parker

In dynamical systems governed by differential equations, a guarantee that trajectories emanating from a given set of initial conditions do not enter another given set can be obtained by constructing a barrier function that satisfies certain inequalities on ...

American Institute of Physics2021