A characterization of the Veronese surface

Author:

Ballico Edoardo

Abstract

Here we prove a slight modification of a conjecture of Beltrametti-Sommese proving that the Veronese surface and a general intersection of 3 quadrics are the only smooth surfaces of C P 5 {\mathbf {CP}^5} which are 2 2 -spanned.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

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2. On 𝑘-spannedness for projective surfaces;Beltrametti, Mauro,1990

3. M. Beltrametti, P. Francia, A. J. Sommese, On Reider’s method and higher embeddings, preprint.

4. Lecture Notes in Mathematics,1980

5. Pure and Applied Mathematics;Griffiths, Phillip,1978

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2. Bibliography;The Adjunction Theory of Complex Projective Varieties;1995-12-31

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