180 citations
- Austrian Academy of SciencesAT307 papers
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4 papers · 1 filter
Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras
Willem A. de Graaf, Jana Pílniková, Josef Schicho
For a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a rational parametrization of the surface and construct one in the affirmative case. We defi…
Tangential Touch between Free and Fixed Boundaries in a Problem from Superconductivity
Norayr Matevosyan
In this paper we study regularity properties of the free boundary problem from superconductivity close to a fixed boundary. If the origin is a free boundary point, then we show tha…
On Approximately Symmetric Informationally Complete Positive Operator-Valued Measures and Related Systems of Quantum States
Andreas Klappenecker, Martin Roetteler, Igor Shparlinski +1
We address the problem of constructing positive operator-valued measures (POVMs) in finite dimension consisting of operators of rank one which have an inner product close…
A Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces
Willem A. de Graaf, Michael Harrison, Jana Pilnikova +1
It is well-known that a Severi-Brauer surface has a rational point if and only if it is isomorphic to the projective plane. Given a Severi-Brauer surface, we study the problem to d…