RULED SURFACES WITH NON-TRIVIAL SURJECTIVE ENDOMORPHISMS

66 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Negative curves on algebraic surfaces (2011, unknown): “It is a result of Fujimoto and Nakayama ([10] and [21]) that a surface X satisfying our hypothesis is of one of the following types: (1) X is a toric surface; (2) X is a P(1)-bundle; (3) X is an abelian surface or a hyperelliptic surface; (4) X is an elliptic surface with Kodaira dimension κ(X) = 1 ”
Endomorphisms of smooth projective 3-folds with non-negative Kodaira dimension (2002, result): “following data in our previous papers [2], [3], [ 20 ]:”
Polarized endomorphisms of complex normal varieties (2009, background): “Especially, the following cases of varieties are well studied: projective surfaces ([44], [17]), homogeneous manifolds ([49], [11]), some special Fano threefolds ([28]), projective bundles ([2]), and projective threefolds with non-negative Kodaira dimension ([16], [18]).”
Questions on self maps of algebraic varieties (2002, result): “It is not difficult to check this (using classification) if dim(X) ≤ 2. A more general result has been proved by N. Nakayama [ 14 ].”