Antonio Pasini

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20242026

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math.GR2026

Absolutely universal projective embeddings of long-root geometries of orthogonal type

Antonio Pasini

Let $G$ be a split Chevalley group of type $B_{n}$ ( $n \geq 3$ ) or $D_{n}$ ( $n \geq 4$ ), let $L$ be its Lie algebra and $Γ$ its long-root geometry, namely $Γ$ is the line-grassmannian…

math.CO2026

Four relations on the set of point-hyperplane anti-flags

Mark Pankov, Antonio Pasini

There are precisely four arrangements of two point-hyperplane anti-flags. We consider the corresponding relations on the set of such anti-flags and show that each of them can be re…