Let M be a five-dimensional manifold polarized by a very ample line bundle L. We show that a smooth A in the linear system defined by L cannot be a holomorphic $P^1$-bundle over a smooth projective 3-fold Y, unless Y is isomorphic to $P^3$ and A is isomorphic to $P^1 x P^3$.
A note on $P^1$-bundles as hyperplane sections
FANIA, Maria Lucia;
2005-01-01
Abstract
Let M be a five-dimensional manifold polarized by a very ample line bundle L. We show that a smooth A in the linear system defined by L cannot be a holomorphic $P^1$-bundle over a smooth projective 3-fold Y, unless Y is isomorphic to $P^3$ and A is isomorphic to $P^1 x P^3$.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.