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Generating partial Hadamard matrices as solutions to a Constraint Satisfaction Problem characterizing cliques
(2017-07)
A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard Graph Δ(4t) [9]. The key idea is translating the problem of extending a given clique Cm to a larger ...
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Khovanov homotopy type, periodic links and localizations
(Springer, 2021)
Given an m-periodic link L ⊂ S3, we show that the Khovanov spectrum XL con structed by Lipshitz and Sarkar admits a group action. We relate the Borel cohomology of XL to the equivariant Khovanov homology of L constructed ...
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Irregular hypergeometric D-modules
(Elsevier, 2010-02-06)
We study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along coordinate subspaces in X=Cn. As a consequence, we prove that along coordinate hyperplanes the ...
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Rationality of trace and norm L-functions
(Duke University Press, 2012-06-15)
For a given l-adic sheaf F on a commutative algebraic group G over a finite field k and an integer r ≥ 1 we define the r-th local norm Lfunction of F at a point t ∈ G(k) and prove its rationality. This function ...
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The local duality theorem in D-module theory
(Société Mathématique de France, 2004)
These notes are devoted to the Local Duality Theorem for D-modules, which asserts that the topological Grothendieck-Verdier duality exchanges the de Rham complex and the solution complex of holonomic modules over a complex ...
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Le théorème du symbole total d’un opérateur différentiel p-adique
(Consejo Superior de Investigaciones Científicas, 2010)
Let X † be a smooth †-scheme (in the sense of Meredith) over a complete discrete valuation ring (V,m) of unequal characteristics (0, p) and let D†X†/V be the sheaf of V -linear endomorphisms of OX† whose reduction modulo ...
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Hasse-Schmidt derivations and coefficient fields in positive characteristics
(Elsevier, 2003-07-01)
We show how to express any Hasse-Schmidt derivation of an algebra in terms of a finite number of them under natural hypothesis. As an application, we obtain coefficient fields of the completion of a regular local ring of ...
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The conservation relation for cuspidal representations
(Springer, 2012-01)
Let π ∈ Cusp (U(Vn)) be a smooth cuspidal irreducible representation of a unitary group U(Vn) of dimension n over a non-Archimedean locally compact field. Let W± m the two isomorphism classes of Hermitian spaces of dimension ...
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A comment of the combinatorics of the vertex operator Γ(t|X)
(Project euclid, 2019-12-08)
The Jacobi--Trudi identity associates a symmetric function to any integer sequence. Let Γ(t|X) be the vertex operator defined by Γ(t|X)sα=∑n∈Zs(n,α)[X]tn. We provide a combinatorial proof for the identity Γ(t|X)sα=σ[tX]sα[x−1/t] ...
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Extending a valuation centered in a local domain to the formal completion
(London Mathematical Society, 2012-09)
Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily birationally). Let v|K be the restriction of v to K; by definition, v|K is centered at R. Let ...