27 citations · 43 across the 11 of their papers we have counts for
12 papers
Cohomology classes of complex approximable algebras
Catriona Maclean
Huayi Chen introduces the notion of an approximable graded algebra, which he uses to prove a Fujita-type theorem in the arithmetic setting, and asked if any such algebra is the gra…
Concave transforms of filtrations and rationality of Seshadri constants
Alex Küronya, Catriona Maclean, Joaquim Roé
We show that the subgraph of the concave transform of a multiplicative filtration on a section ring is the Newton--Okounkov body of a certain semigroup, and if the filtration is in…
Classifying approximable algebras
Catriona Maclean
Approximable algebras were defined by Chen in his proof of the Fujita theorem in the arithmetic context. These were shown to not be necessarily subalgebras of section rings of big…
Approximable algebras and a question of Chen
Catriona Maclean
In his article "Arithmetic Fujita Approximations", Huayi Chen introduces the notion of an approximable graded algebra and asks if any such algebra is a subalgebra of the graded sec…
Vanishing sequences and Okounkov bodies
Sébastien Boucksom, Alex Küronya, Catriona Maclean +1
We define and study the vanishing sequence along a real valuation of sections of a line bundle on a projective variety. Building on previous work of the first author with Huayi Che…
Distribution of logarithmic spectra of the equilibrium energy
Huayi Chen, Catriona Maclean
Let be a big invertible sheaf on a complex projective variety, equipped with two continuous metrics. We prove that the distribution of the eigenvalues of the transition matrix…