Moduli spaces of quadratic complexes and their singular surfaces

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dc.creatorAvritzer, D.
dc.creatorLange, H.
dc.date2007-07-17
dc.date.accessioned2026-07-07T08:18:43Z
dc.date.available2026-07-07T08:18:43Z
dc.descriptionWe construct the coarse moduli space $\cM_{qc}(σ)$ of quadratic line complexes with a fixed Segre symbol $σ$ as well as the moduli space $\cM_{ss}(σ)$ of the corresponding singular surfaces. We show that the map associating to a quadratic line complex its singular surface induces a morphism $π: \cM_{qc}(σ) \ra \cM_{ss}(σ)$. Finally we deduce that the varieties of cosingular quadratic line complexes are almost always curves.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0707.2440
dc.identifierhttp://arxiv.org/abs/0707.2440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134532
dc.subjectAlgebraic Geometry
dc.subject14D22 (Primary); 14J10 (Secondary)
dc.titleModuli spaces of quadratic complexes and their singular surfaces
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