Proves Erdős-Kac type central limit theorems for the number of ramified primes in random G-extensions of number fields when G is abelian, including first examples of dependent local ramification events.
Cohomologie cohé rente et représentations Galoisiennes
9 Pith papers cite this work. Polarity classification is still indexing.
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Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
Generalizes the perfectoid method to construct overconvergent automorphic sheaves whose global sections are overconvergent Siegel modular forms and establishes an explicit overconvergent Eichler-Shimura morphism.
Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).
An algorithm is provided for selecting distinguished defining polynomials for p-adic field extensions, serving as a key component in expanding the LMFDB p-adic fields database.
Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.
citing papers explorer
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Erd\H{o}s-Kac theorems for discriminants of number fields
Proves Erdős-Kac type central limit theorems for the number of ramified primes in random G-extensions of number fields when G is abelian, including first examples of dependent local ramification events.
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Convergence of orbital integrals on unitary groups in positive characteristic
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
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On Galois categories and condensed contractible schemes
The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.
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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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Solvable Descent and the Grunwald Problem for Solvable Groups
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
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Perfectoid overconvergent Siegel modular forms and the overconvergent Eichler--Shimura morphism
Generalizes the perfectoid method to construct overconvergent automorphic sheaves whose global sections are overconvergent Siegel modular forms and establishes an explicit overconvergent Eichler-Shimura morphism.
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Modular variants of p-adic fundamental sequence
Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).
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Distinguished defining polynomials for extensions of p-adic fields
An algorithm is provided for selecting distinguished defining polynomials for p-adic field extensions, serving as a key component in expanding the LMFDB p-adic fields database.
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Shape theory for condensed anima
Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.