Modernity of Halphen's variations on a theme of Monge
Caroline Gruson, Laurent Gruson
TL;DR
This paper constructs a Z_3-slice for the action of PGL(V) on smooth arcs in projective space, providing new insights into the geometric structure of these varieties.
Contribution
It introduces a novel Z_3-slice construction for the PGL(V) action on smooth arc varieties in projective space.
Findings
Explicit Z_3-slice construction for PGL(V) action
Enhanced understanding of the geometry of smooth arc varieties
Potential applications to moduli space analysis
Abstract
We construct a Z_3-slice to the natural action of PGL(V) on the variety of smooth arcs in the projective space P(V).
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