Fano manifolds are, by definition, smooth projective varieties with ample first Chern class (=
anticanonical class). They are of special interest from the viewpoint of classification theory …

Knowledge is a collective good. Only a small part of our knowledge of the world is generated
by our own personal experience. Relying on what others say is one of the most fundamental …

We classify Fano threefolds with only terminal singularities whose canonical class is Cartier
and divisible by 2 with the additional assumption that the G-invariant part of the Weil divisor …

0. We say that a vector bundle 8 on X is Fano if P (03B5) is a Fano manifold. In [12], we
classified rank-2 Fano vector bundles over the complex projective space P3 and over a …

In this work we deal with vector bundles of rank two on a Fano manifold X with second and
fourth Betti numbers equal to one. We study the nef and pseudoeffective cones of the …

We formulate a generalization of K. Takeuchi's method to classify smooth Fano 3-folds and
use it to give a list of numerical possibilities of ℚ-Fano 3-folds X with Pic X= ℤ (− 2KX) and …

Fano 5-folds with nef tangent bundles and Picard numbers greater than one | SpringerLink Skip
to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search …

Introduction. In this paper rank 2 vector bundles E on projective spaces Ψn and quadrics Qn
are investigated which enjoy the additional property that their projectized bundles Ψ (E) are …

A line bundle over a complex projective variety is called big and 1-ample if a large multiple
of it is generated by global sections and a morphism induced by the evaluation of the …

In this paper we investigate projective 4-dimensional manifolds X whose tangent bundles TX
are numerically effective and give an almost complete classification. An important technical …