Bilinear secants and birational geometry of blowups of Pⁿ x Pⁿ⁺¹

We introduce bilinear secant varieties and joins of subvarieties of products of projective spaces, as a generalisation of the classical secant varieties and joins of projective varieties. We show that the bilinear secant varieties of certain rational normal curves of Pn×Pn+1 play a central role in t...

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Bibliographic Details

Main Authors:	Elisa Postinghel, Artie Prendergast
Format:	Default Article
Published:	2026
Subjects:	Mathematical physics Pure mathematics General Mathematics Effetive cones Base locus lemmas Log Fano varieties Bilinear secant varieties 2020MSC: 14C20, 14J45, 14J70, 14N07
Online Access:	https://hdl.handle.net/2134/31304929.v1
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