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On the equations defining minimal varieties. (English) Zbl 0971.14002
The aim of the paper is to give a precise description of the equations satisfied by the projective varieties of minimal degree with more than one irreducible component, following the classification obtained by S. Xambó [Collect. Math. 32, 149-163 (1981; Zbl 0501.14020)], answering a question of C. de Concini, D. Eisenbud and C. Procesi [“Hodge algebras”, Astérisque 91 (1982; Zbl 0509.13026)].

MSC:
14A05 Relevant commutative algebra
14A10 Varieties and morphisms
14J10 Families, moduli, classification: algebraic theory
14J45 Fano varieties
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References:
[1] Barile M., J. of Algebra 205 (1998)
[2] Bertini E., Introduzione alia geometria proiettiva degli iperspazi (1907) · JFM 38.0582.02
[3] De Concini C., Astérisque 91 (1982)
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[5] DOI: 10.1016/0021-8693(84)90092-9 · Zbl 0531.13015 · doi:10.1016/0021-8693(84)90092-9
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[9] DOI: 10.2307/2373709 · Zbl 0301.14011 · doi:10.2307/2373709
[10] Xambó S., Collect. Math 32 pp 149– (1981)
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