The graded ring database page has lists of graded rings of polarised varieties, such as K3 surfaces and Fano 3-folds and 4-folds. This poster gives a flavour of some of the topics. The previous version is linked here.
The homepage uses the computer algebra system
Magma.
If you have Magma, then its
handbook
explains how to search its own databases.
Information on past conferences on this graded ring material and on Magma is
here.
Magma files on elliptic fibrations:
ellfib.mag
and
examples.ellfib.