Summary: Fano manifolds
Marco Andreatta
Dipartimento di Matematica
Trento
Fano manifolds ­ p.1/22
General frame
Let X be a (complex) compact manifold of dimension n
and TX its tangent bundle. Define -KX = detTX.
Fano manifolds ­ p.2/22
General frame
Let X be a (complex) compact manifold of dimension n
and TX its tangent bundle. Define -KX = detTX.
X is said to be a Fano manifold if -KX is ample.
Fano manifolds ­ p.2/22
General frame
Let X be a (complex) compact manifold of dimension n
and TX its tangent bundle. Define -KX = detTX.
X is said to be a Fano manifold if -KX is ample.
Example. TX is ample ( iff X is Pn
).

Source: Andreatta, Marco - Dipartimento di Matematica, Università di Trento

Collections: Mathematics