Rational connectedness and boundedness of Fano manifolds
J Kollár, Y Miyaoka, S Mori - Journal of Differential Geometry, 1992 - projecteuclid.org
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 …
anticanonical class). They are of special interest from the viewpoint of classification theory …
Is trust an epistemological notion?
G Origgi - Episteme, 2004 - cambridge.org
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 …
by our own personal experience. Relying on what others say is one of the most fundamental …
G-Fano threefolds, i
Y Prokhorov - Advances in Geometry, 2013 - degruyter.com
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 …
and divisible by 2 with the additional assumption that the G-invariant part of the Weil divisor …
[PDF][PDF] Fano bundles of rank on surfaces
M Szurek, JA Wisniewski - Compositio Mathematica, 1990 - numdam.org
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 …
classified rank-2 Fano vector bundles over the complex projective space P3 and over a …
On rank vector bundles on Fano manifolds
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 …
fourth Betti numbers equal to one. We study the nef and pseudoeffective cones of the …
On classification of ℚ-Fano 3-folds of Gorenstein index 2. I
H Takagi - Nagoya Mathematical Journal, 2002 - cambridge.org
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 …
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
K Watanabe - Mathematische Zeitschrift, 2014 - Springer
Fano 5-folds with nef tangent bundles and Picard numbers greater than one | SpringerLink Skip
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Fano bundles and splitting theorems on projective spaces and quadrics.
V Ancona, T Peternell, JA Wiśniewski - 1994 - msp.org
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 …
are investigated which enjoy the additional property that their projectized bundles Ψ (E) are …
On manifolds whose tangent bundle is big and 1-ample
LES Conde, JA Wiśniewski - Proceedings of the London …, 2004 - cambridge.org
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 …
of it is generated by global sections and a morphism induced by the evaluation of the …
4-folds with numerically effective tangent bundles and second Betti numbers greater than one
F Campana, T Peternell - manuscripta mathematica, 1993 - Springer
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 …
are numerically effective and give an almost complete classification. An important technical …