4 citations · 10 across the 9 of their papers we have counts for
7 papers · 1 filter
Coupled Cluster Degree of the Grassmannian
Viktoriia Borovik, Bernd Sturmfels, Svala Sverrisdóttir
We determine the number of complex solutions to a nonlinear eigenvalue problem on the Grassmannian in its Plücker embedding. This is motivated by quantum chemistry, where it repres…
Algebraic Varieties in Quantum Chemistry
Fabian Faulstich, Bernd Sturmfels, Svala Sverrisdóttir
We develop algebraic geometry for coupled cluster (CC) theory of quantum many-body systems. The high-dimensional eigenvalue problems that encode the electronic Schrödinger equation…
Likelihood Geometry of Determinantal Point Processes
Hannah Friedman, Bernd Sturmfels, Maksym Zubkov
We study determinantal point processes (DPP) through the lens of algebraic statistics. We count the critical points of the log-likelihood function, and we compute them for small mo…
Tropical Implicitization Revisited
Kemal Rose, Bernd Sturmfels, Simon Telen
Tropical implicitization means computing the tropicalization of a unirational variety from its parametrization. In the case of a hypersurface, this amounts to finding the Newton po…
Positive del Pezzo Geometry
Nick Early, Alheydis Geiger, Marta Panizzut +2
Real, complex, and tropical algebraic geometry join forces in a new branch of mathematical physics called positive geometry. We develop the positive geometry of del Pezzo surfaces…
Taylor Polynomials of Rational Functions
Aldo Conca, Simone Naldi, Giorgio Ottaviani +1
A Taylor variety consists of all fixed order Taylor polynomials of rational functions, where the number of variables and degrees of numerators and denominators are fixed. In one va…