On secant defectiveness and identifiability of Segre–Veronese varieties

On secant defectiveness and identifiability of Segre–Veronese varieties

We give an almost asymptotically sharp bound for the non-secant defectiveness and identifiability of Segre–Veronese varieties. We also provide new examples of defective Segre–Veronese varieties, and implement our methods in Magma. Finally, we give two applications of our techniques: we classify poss...

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Veröffentlicht in:Revista matemática iberoamericana 2022-01, Vol.38 (5), p.1605-1635
Hauptverfasser: Laface, Antonio, Massarenti, Alex, Rischter, Rick
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creator Laface, Antonio
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description We give an almost asymptotically sharp bound for the non-secant defectiveness and identifiability of Segre–Veronese varieties. We also provide new examples of defective Segre–Veronese varieties, and implement our methods in Magma. Finally, we give two applications of our techniques: we classify possibly singular 2-secant defective toric surfaces and we study secant defectiveness of Losev–Manin spaces.
doi_str_mv 10.4171/rmi/1336
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title On secant defectiveness and identifiability of Segre–Veronese varieties
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