Page 1

Displaying 1 – 16 of 16

Showing per page

Degree of the fibres of an elliptic fibration

Alexandru Buium (1983)

Annales de l'institut Fourier

Let X B an elliptic fibration with general fibre F . Let n e , n s , n a , n v be the minima of the non-zero intersection numbers ( , F ) where runs successively through the following sets: effective divisors on X , invertible sheaves spanned by global sections, ample divisors and very ample divisors. Let m be the maximum of the multiplicities of the fibres of X B . We prove that n e = n s if and only if n e 2 m and that n a = n v if and only if n a 3 m .

Currently displaying 1 – 16 of 16

Page 1