On Projective Varieties of Codimension 2.
Z. Ran (1983)
Inventiones mathematicae
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Displaying similar documents to “Projective normality of flag varieties and Schubert varieties.”
On Projective Varieties of Codimension 2.
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Varieties with small dual varieties, I.
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The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983, is a natural generalization of the classical notion of projective duality. In this paper we study higher order dual varieties of projective toric embeddings. We express the degree of the second dual variety of a 2-jet spanned embedding of a smooth toric threefold in geometric and combinatorial terms, and we classify those whose second dual variety has dimension less than expected. We also...
Syzygies and Koszul cohomology of smooth projective varieties for arbitrary dimension.
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Some inequalities between the class and the degree of a smooth complex projective manifold are given. Application to the case of low sectional genus are supplied.