52 citations · 194 across the 16 of their papers we have counts for
17 papers
Asymptotics of Partial Density Functions for Divisors
Julius Ross, Michael Singer
We study the asymptotic behaviour of the partial density function associated to sections of a positive hermitian line bundle that vanish to a particular order along a fixed divisor…
Toric partial density functions and stability of toric varieties
Florian T. Pokorny, Michael Singer
Let denote a polarized toric Kähler manifold. Fix a toric submanifold and denote by the partial density function corresponding t…
Constant scalar curvature Kaehler surfaces and parabolic polystability
Yann Rollin, Michael A. Singer
A complex ruled surface admits an iterated blow-up encoded by a parabolic structure with rational weights. Under a condition of parabolic stability, one can construct a Kaehler met…
Continued fractions and Einstein manifolds of infinite topological type
David M. J. Calderbank, Michael A. Singer
We present a construction of complete self-dual Einstein metrics of negative scalar curvature on an uncountable family of manifolds of infinite topological type, which are enumerat…
Construction of Kaehler surfaces with constant scalar curvature
Yann Rollin, Michael A. Singer
We present new constructions of Kaehler metrics with constant scalar curvature on complex surfaces, in particular on certain del Pezzo surfaces. Some higher dimensional examples ar…
Toric selfdual Einstein metrics on compact orbifolds
David M. J. Calderbank, Michael A. Singer
We prove that any compact selfdual Einstein 4-orbifold of positive scalar curvature whose isometry group contains a 2-torus is, up to an orbifold covering, a quaternion Kaehler quo…