First explicit non-inner-amenable étale groupoids not from partial actions, plus models for unital Kirchberg algebras in the UCT class.
Title resolution pending
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
citation-role summary
background 2
citation-polarity summary
verdicts
UNVERDICTED 6roles
background 2polarities
background 2representative citing papers
The first infinite family of antisymmetric paramodular forms of weight 3 is constructed as Borcherds products whose first Fourier-Jacobi coefficient is a theta block.
Equivalent combinatorial expansion formulas for generalized cluster algebras on punctured orbifolds are derived using snake graphs, labelled posets, matrices, and T-walks, generalizing prior results for surfaces and unpunctured orbifolds.
Relative Vorst theorem and relative Karoubi sequence yield improved injective stability bounds for relative K1 and K1Sp groups over regular rings.
Defines invariants m and Bourbaki degree for pairs of projective surfaces, establishes bounds and syzygy relations, classifies low-degree cases, and gives a negative answer to a conjecture on unstable non-split tangent sheaves for degree-3 foliations.
New bound on Newton polytope support for minimal DEs in polynomial systems enables evaluation-interpolation projection algorithm outperforming prior software.
citing papers explorer
-
On groupoids beyond partial actions, inner amenability, and models for Kirchberg algebras
First explicit non-inner-amenable étale groupoids not from partial actions, plus models for unital Kirchberg algebras in the UCT class.
-
Antisymmetric paramodular forms of weight 3
The first infinite family of antisymmetric paramodular forms of weight 3 is constructed as Borcherds products whose first Fourier-Jacobi coefficient is a theta block.
-
Cluster Expansions from Punctured Orbifolds
Equivalent combinatorial expansion formulas for generalized cluster algebras on punctured orbifolds are derived using snake graphs, labelled posets, matrices, and T-walks, generalizing prior results for surfaces and unpunctured orbifolds.
-
Improved injective stability for relative $\mathrm{K_1Sp}$-groups
Relative Vorst theorem and relative Karoubi sequence yield improved injective stability bounds for relative K1 and K1Sp groups over regular rings.
-
Bourbaki degree of pairs of projective surfaces
Defines invariants m and Bourbaki degree for pairs of projective surfaces, establishes bounds and syzygy relations, classifies low-degree cases, and gives a negative answer to a conjecture on unstable non-split tangent sheaves for degree-3 foliations.
-
Projecting dynamical systems via a support bound
New bound on Newton polytope support for minimal DEs in polynomial systems enables evaluation-interpolation projection algorithm outperforming prior software.