A closed Euler product formula for the genus set cardinality of Gorenstein cubic orders is derived via explicit local overorder classification.
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6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 6representative citing papers
The algebraic stratification of Hitchin fibers via local smoothening types is proven equivalent to the geometric stratification by partial normalizations for GL_n in the Bass case, yielding an explicit cohomology formula for compactified Jacobians of spectral curves with double singularities.
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.
Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.
citing papers explorer
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Ideal class monoids of cubic orders
A closed Euler product formula for the genus set cardinality of Gorenstein cubic orders is derived via explicit local overorder classification.
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Global geometrization of local smooth integral models in the Hitchin fibration for $\mathrm{GL}_n$: The Bass case
The algebraic stratification of Hitchin fibers via local smoothening types is proven equivalent to the geometric stratification by partial normalizations for GL_n in the Bass case, yielding an explicit cohomology formula for compactified Jacobians of spectral curves with double singularities.
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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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On the Schematic and Analytic Constructions of the Local Langlands Category
Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.
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Birational invariance of higher Amitsur groups
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
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Non-admissibility of some universal supersingular representations
For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.