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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Projective $ n$-folds of log-general type. I


Authors: M. Beltrametti, A. Biancofiore and A. J. Sommese
Journal: Trans. Amer. Math. Soc. 314 (1989), 825-849
MSC: Primary 14J40; Secondary 14C20, 14J30
MathSciNet review: 1005528
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-1005528-1
PII: S 0002-9947(1989)1005528-1
Article copyright: © Copyright 1989 American Mathematical Society