Four counterexamples to converses of geometric-finiteness implications in round convex projective geometry are constructed using 4-dimensional domains invariant under the irreducible representation of SL₂(ℝ).
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9 Pith papers cite this work, alongside 1,666 external citations. Polarity classification is still indexing.
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Pith papers citing it
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2026 9representative citing papers
Introduces structured matrix factorization length and X-factorization varieties, computes their dimensions for Toeplitz, Hankel, bidiagonal, tridiagonal, skew-symmetric, and companion matrices, and proposes displacement-rank lower bounds and alternating-minimization upper bounds.
Generalizes Steinberg's centralizer component description to unipotent elements under non-etale covers, with applications to L-parameter moduli multiplicities, deformation rings, and non-existence of Springer isomorphism for PGL_p in char p.
Classifies rational (quasi-)elliptic surfaces with global vector fields in char p ≠ 2, determining fibers, automorphism schemes, moduli, and Jacobian property except for p=3,5.
Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
A claimed new characterization of global sections of standard D-modules on flag varieties is used to compute the Cousin-Zuckerman resolution and prove the Lusztig-Vogan bijection for n=2,3 in GL(n,H).
Computes algebraic and analytic Brauer groups for homogeneous spaces under connected simply connected semisimple complex algebraic group actions with closed connected stabilizers.
Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.
citing papers explorer
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On 4-dimensional convex projective domains invariant by a lattice of $\mathrm{SL}_2 (\mathbb{R})$
Four counterexamples to converses of geometric-finiteness implications in round convex projective geometry are constructed using 4-dimensional domains invariant under the irreducible representation of SL₂(ℝ).
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Structured matrix factorization length
Introduces structured matrix factorization length and X-factorization varieties, computes their dimensions for Toeplitz, Hankel, bidiagonal, tridiagonal, skew-symmetric, and companion matrices, and proposes displacement-rank lower bounds and alternating-minimization upper bounds.
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Central isogenies and conjugacy classes in reductive groups
Generalizes Steinberg's centralizer component description to unipotent elements under non-etale covers, with applications to L-parameter moduli multiplicities, deformation rings, and non-existence of Springer isomorphism for PGL_p in char p.
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Rational (quasi-)elliptic surfaces with global vector fields in odd characteristic
Classifies rational (quasi-)elliptic surfaces with global vector fields in char p ≠ 2, determining fibers, automorphism schemes, moduli, and Jacobian property except for p=3,5.
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Geometrization of summation formulae for quadrics
Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.
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K-theory of Gieseker variety and type A cyclotomic Hecke algebra
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
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Computing the Cousin-Zuckerman Resolution and the Lusztig-Vogan Bijection
A claimed new characterization of global sections of standard D-modules on flag varieties is used to compute the Cousin-Zuckerman resolution and prove the Lusztig-Vogan bijection for n=2,3 in GL(n,H).
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Algebraic and analytic Brauer groups of homogeneous spaces
Computes algebraic and analytic Brauer groups for homogeneous spaces under connected simply connected semisimple complex algebraic group actions with closed connected stabilizers.
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Weyl algebras on Braverman-Kazhdan spaces
Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.