First explicit non-inner-amenable étale groupoids not from partial actions, plus models for unital Kirchberg algebras in the UCT class.
Cluster algebras of finite mutation type via unfoldings
7 Pith papers cite this work. Polarity classification is still indexing.
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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.
Intrinsic characterization of hyperelliptic stable curves via involution with rational-tree quotient, valid in all characteristics and matching the moduli stack ĀH_g.
Multiple equivalent combinatorial expansion formulas are given for generalized cluster algebras from arcs on punctured orbifolds, generalizing prior surface and orbifold cases.
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
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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.
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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.
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Hyperelliptic Stable Curves
Intrinsic characterization of hyperelliptic stable curves via involution with rational-tree quotient, valid in all characteristics and matching the moduli stack ĀH_g.
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Cluster Expansions from Punctured Orbifolds
Multiple equivalent combinatorial expansion formulas are given for generalized cluster algebras from arcs on punctured orbifolds, generalizing prior surface and orbifold cases.
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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.
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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.
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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.