In algebraic geometry, a line bundle on an algebraic variety is said to be nef (short for "numerically effective" or "numerically eventually free"), if the degree of the restriction to any algebraic curve of the variety is non-negative.
In particular, every ample line bundle is nef.
Similarly, a Cartier divisor D on an algebraic variety X is nef, if
for any algebraic curve C in X, in the sense of intersection theory.
Famous quotes containing the words line and/or bundle:
“The parent must not give in to his desire to try to create the child he would like to have, but rather help the child to developin his own good timeto the fullest, into what he wishes to be and can be, in line with his natural endowment and as the consequence of his unique life in history.”
—Bruno Bettelheim (20th century)
“We styled ourselves the Knights of the Umbrella and the Bundle; for, wherever we went ... the umbrella and the bundle went with us; for we wished to be ready to digress at any moment. We made it our home nowhere in particular, but everywhere where our umbrella and bundle were.”
—Henry David Thoreau (18171862)