We prove that any smooth subcanonical surface in P^4 lying on a hyperquartic is a complete intersection. In some sense this result is sharp since there exist (non complete intersection) abelian surfaces lying on quintic hypersurfaces (sections of Horrocks-Mumford bundles)
On subcanonical surfaces of $\Bbb P\sp 4$
ELLIA, Filippo Alfredo;
2005
Abstract
We prove that any smooth subcanonical surface in P^4 lying on a hyperquartic is a complete intersection. In some sense this result is sharp since there exist (non complete intersection) abelian surfaces lying on quintic hypersurfaces (sections of Horrocks-Mumford bundles)File in questo prodotto:
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