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• W2023831687 abstract "Each embedded product space PG(n,q)xPG(n,q) in an (n^2+n-1)-dimensional projective space is obtained by projecting the Segre variety Sn,n,q from an n-subspace @d skew with its first secant variety (Zanella, 1996 [22]). On the other hand, when @d is skew with the (n-1)-th secant variety, it determines a semifield of order q^n^+^1 whose center contains Fq (Lavrauw, 2011 [17]). A relationship arises between a particular class of embeddings of PG(n,q)xPG(n,q) in PG(n^2+n-1,q) and semifields of the above type. For this reason, such embeddings will be called semifield embeddings. In this paper we establish this connection and prove that projectively equivalent semifield embeddings that do not exchange subspaces of different kind are related to isotopic semifields, and conversely. Exchanging the order in the product leads to the transition from a semifield to its transpose." @default.
• W2023831687 created "2016-06-24" @default.
• W2023831687 creator A5002556964 @default.
• W2023831687 creator A5013614037 @default.
• W2023831687 date "2014-01-01" @default.
• W2023831687 modified "2023-09-25" @default.
• W2023831687 title "Segre embeddings and finite semifields" @default.
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• W2023831687 doi "https://doi.org/10.1016/j.ffa.2013.07.005" @default.
• W2023831687 hasPublicationYear "2014" @default.
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