M. Archita

activity

20242026

collaborators

4 papers

math.RA2026

R-triviality for adjoint classical groups of type C

M. Archita

For a central simple algebra with a symplectic involution (A,s) over a field of characteristic different from 2, we show that its group of projective similitudes PSim(A,s) is R-tri…

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…

math.RA2024

Rational equivalence on adjoint groups of type $^{1} D_{n}$ over field $Q_{P} (X)$

M. Archita

Let $F$ be the function field of a smooth, geometrically integral curve over a $p$ -adic field with $p \neq = 2.$ Let $G$ be a classical adjoint group of type $^{1} D_{n}$ defined over $F$ .…

R-triviality for adjoint classical groups of type C

Similitudes over fields with I^4=0

Rational connectedness for groups of proper projective similitudes

Rational equivalence on adjoint groups of type 1Dn​ over field QP​(X)

Rational equivalence on adjoint groups of type $^{1} D_{n}$ over field $Q_{P} (X)$