M. Archita

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math.NT2026

Similitudes over fields with I^4=0

M. Archita, Karim Johannes Becher

This article studies the set of R-equivalence classes of the group of proper projective similitudes of an algebra with involution of the first kind. The main results concern base f…

math.NT2025

Rational connectedness for groups of proper projective similitudes

M. Archita, Karim Johannes Becher

For a quadratic form $φ$ over a field of characteristic different from $2$ , we study whether its group of proper projective similitudes $PSim^{+} (φ)$ is rationally connected (i…