Projective 𝑛-folds of log-general type. I

Beltrametti, M.; Biancofiore, A.; Sommese, A. J.

doi:10.1090/S0002-9947-1989-1005528-1

Projective $n$-folds of log-general type. I
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by M. Beltrametti, A. Biancofiore and A. J. Sommese PDF

Trans. Amer. Math. Soc. 314 (1989), 825-849 Request permission

Abstract:

Let $X$ be a normal $n$-dimensional Gorenstein irreducible projective subvariety of a complex projective space with codimension $3$ singularities. This article introduces new projective invariants of $X$ and shows that they satisfy certain inequalities and relations making them useful tools in the projective classification of varieties. The main tools used are the recent precise adjunction theoretic results on classification of projective varieties.

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