From the 1 of 7 linked papers with an AI index.
7 papers
Picard groups and composition nilpotence for finite cellular isotropic spectra
David Kumallagov
Let be a flexible field of characteristic different from , let be the mod- isotropic sphere, and set . We prove $$…
Frobenius orbit codes and finite-field Fourier spectra: exact distance and coset distributions
David Kumallagov, Daniil Sizikov, Anton Zarubin
The paper studies a family of linear codes defined by a Frobenius permutation over finite fields, deriving exact formulas for weight and distance enumerators, covering radius, cose…
Affine monodromy and exact value distributions over finite fields
David Kumallagov
We study finite field value distributions through the fixed-point statistics of monodromy groups. For a regular degree-\(n\) cover, omitted values are controlled by derangements. T…
Dimension filtrations in birational localisation
David Kumallagov
Let \(S_b\) be the class of birational morphisms between smooth varieties over a field \(F\), and let \(L_n=S_b^{-1}d_{\leq n}\Sm(F)\). Kahn and Sujatha asked whether the natural f…
A coproduct obstruction for derived unramified cohomology
David Kumallagov
Let \(k\) be a perfect field of exponential characteristic \(p\), and let \(R\) be a commutative \(\Z[1/p]\)-algebra. We prove that the first derived unramified functor \[ F\longma…
Exact output statistics of Icart's encoding in the exceptional \(j=0\) case
David Kumallagov
Icart's encoding is a classical deterministic map from finite fields to elliptic curves and a basic ingredient in early hash-to-curve constructions. We determine the exact one-outp…