Denote by νm(d) the maximal integer for which there exists for a threefold X ⊂ ℙ5 complete intersection of hypersurfaces of degree respectively d and d - 1 such that X has only ordinary singularities of order m and {pipe}Sing(X) = νm(d). We prove that, where asymptotically. This result extends (Di Gennaro and Franco in Commun Contemp Math 10(5):745-764, 2008, Corollary 2.10). © Università degli Studi di Napoli "Federico II" 2009.
Examples of factorial threefolds complete intersection in $${\mathbb{P}^5}$$ with many singularities
Sabatino, Pietro
2009
Abstract
Denote by νm(d) the maximal integer for which there exists for a threefold X ⊂ ℙ5 complete intersection of hypersurfaces of degree respectively d and d - 1 such that X has only ordinary singularities of order m and {pipe}Sing(X) = νm(d). We prove that, where asymptotically. This result extends (Di Gennaro and Franco in Commun Contemp Math 10(5):745-764, 2008, Corollary 2.10). © Università degli Studi di Napoli "Federico II" 2009.File in questo prodotto:
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