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On a class of partial \(t\)-spreads of \(PG(n,q)\) arising from scrolls. (English) Zbl 0956.51002
Summary: Here, using algebraic geometry (scrolls over projective curves) we construct a class of partial \(t\)-spreads of \(PG(n,q)\), study their properties and give general criteria to say when two \(t\)-spreads arising in this way are the same (e.g. if they contain a large number of the same points of \(PG(n, q))\).
MSC:
51E14 Finite partial geometries (general), nets, partial spreads
05B25 Combinatorial aspects of finite geometries
14H60 Vector bundles on curves and their moduli
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