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math.AG2024
Simplices osculating rational normal curves
Alessio Caminata, Enrico Carlini, Luca Schaffler
A classical result of von Staudt states that if eight planes osculate a twisted cubic curve and we divide them into two groups of four, then the eight vertices of the corresponding…
math.AC2024
F-signature functions of diagonal hypersurfaces
Alessio Caminata, Samuel Shideler, Kevin Tucker +1
Let be a diagonal hypersurface in . We study the behavior of the function $ϕ_{f,p}({a}/{p^e})=p^{-ne}\dim_{\mathbb{F}_p}\big(A_p/(x_1^{p^e},\…