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Bounds on the degree of two-codimensional integral varieties in projective space

✍ Scribed by Mario Valenzano


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
114 KB
Volume
158
Category
Article
ISSN
0022-4049

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✦ Synopsis


In this paper we establish new upper bounds on the degree of a two-codimensional nondegenerate integral variety in projective space, depending on the dimension of the variety and on a non-lifting level s for it, i.e. a level such that there is an element of degree s in the deΓΏning ideal of a general hyperplane section of the variety which is not restriction of any element of the same degree in the deΓΏning ideal of the variety.


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