Fano Variety

In algebraic geometry, a Fano variety, introduced in (Fano 1934, 1942), is a non-singular complete variety whose anticanonical bundle is ample.

Fano varieties are quite rare, compared to other families, like Calabi–Yau manifolds and general type surfaces.

Read more about Fano Variety:  The Example of Projective Hypersurfaces, Some Properties, Classification in Small Dimensions

Famous quotes containing the word variety:

    “To invent without scruple a new principle to every new phenomenon, instead of adapting it to the old; to overload our hypothesis with a variety of this kind, are certain proofs that none of these principles is the just one, and that we only desire, by a number of falsehoods, to cover our ignorance of the truth.”
    —David Hume (1711–1776)