Diego Sulca

activity

20122026

collaborators

7 papers

math.NT2026

Counting subalgebras of $o^{n}$

Aaron Blas Pereda, Diego Sulca

Let $o$ be a compact discrete valuation ring and $n \geq 2$ . We introduce a method to study the cotype zeta function of subalgebras of $o^{n}$ . This multivariabl…

math.AC2024

Purely Inseparable ring extensions

Celia del Buey de Andrés, Diego Sulca

We revisit the concept of special algebras, also known as \textit{purely inseparable ring extensions}. This concept extends the notion of purely inseparable field extensions to the…

math.AC2022

Differentiably simple rings and ring extensions defined by $p$ -basis

Celia del Buey de Andrés, Diego Sulca, Orlando E. Villamayor

We review the concept of differentiably simple ring and we give a new proof of Harper's Theorem on the characterization of Noetherian differentiably simple rings in positive charac…

math.GR2021

On the degree of polynomial subgroup growth of nilpotent groups

Diego Sulca

Let $N$ be a finitely generated nilpotent group. The subgroup zeta function $ζ_{N}^{\leq} (s)$ and the normal zeta function $ζ_{N}^{⊲} (s)$ of $N$ are Dirichlet series enumerating the f…

math.AG2021

Multiplicity along points of a radicial covering of a regular variety

Diego Sulca, Orlando E. U. Villamayor

We study the maximal multiplicity locus of a variety $X$ over a field of characteristic $p > 0$ that is provided with a finite surjective radical morphism $δ : X \to V$ , where $…

math.GR2012

Zeta functions of the 3-dimensional almost-Bieberbach groups

Diego Sulca

The subgroup zeta function and the normal zeta function of a finitely generated virtually nilpotent group can be expressed as finite sums of Dirichlet series admitting Euler produc…

math.GR2012

Zeta functions of virtually nilpotent groups

Diego Sulca

We prove that the subgroup zeta function and the normal zeta function of a finitely generated virtually nilpotent group are finite sums of Euler products of cone integrals over $\m…

Counting subalgebras of on

Purely Inseparable ring extensions

Differentiably simple rings and ring extensions defined by p-basis

On the degree of polynomial subgroup growth of nilpotent groups

Multiplicity along points of a radicial covering of a regular variety

Zeta functions of the 3-dimensional almost-Bieberbach groups

Zeta functions of virtually nilpotent groups

Counting subalgebras of $o^{n}$

Differentiably simple rings and ring extensions defined by $p$ -basis