Danièle Turchetti

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math.NT2026

On the arithmetic and geometry of spaces $L_{m + 1, n}$

Michel Matignon, Guillaume Pagot, Daniele Turchetti

Let $p$ be a prime number. Motivated by the local lifting problem for $(Z / p Z)^{n}$ with $n > 1$ , we prove several new results on certain $F_{p}$ -vector spaces…

math.NT2025

Equidistant liftings of elementary abelian Galois covers of curves

Daniele Turchetti

In this paper, we discuss the local lifting problem for the action of elementary abelian groups. Studying logarithmic differential forms linked to deformations of $(I^¼_{p})^{n}$ -torsor…

On the arithmetic and geometry of spaces Lm+1,n​

Equidistant liftings of elementary abelian Galois covers of curves

On the arithmetic and geometry of spaces $L_{m + 1, n}$