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Three-dimensional terminal toric flips

Osamu Fujino, Hiroshi Sato, Yukishige Takano, Hokuto Uehara (2009)

Open Mathematics

We describe three-dimensional terminal toric flips. We obtain the complete local description of three-dimensional terminal toric flips.

Threefolds with big and nef anticanonical bundles II

Priska Jahnke, Thomas Peternell, Ivo Radloff (2011)

Open Mathematics

In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −K X big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X + are not both birational.

Threefolds with nef anticanonical bundles.

Thomas Peternell, Fernando Serrano (1998)

Collectanea Mathematica

In this paper we study the global structure of projective threefolds X whose anticanonical bundle -KX is nef.

Three-manifolds and Kähler groups

D. Kotschick (2012)

Annales de l’institut Fourier

We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is or 2 .

Tilting Bundles on Rational Surfaces and Quasi-Hereditary Algebras

Lutz Hille, Markus Perling (2014)

Annales de l’institut Fourier

Let X be any rational surface. We construct a tilting bundle T on X . Moreover, we can choose T in such way that its endomorphism algebra is quasi-hereditary. In particular, the bounded derived category of coherent sheaves on X is equivalent to the bounded derived category of finitely generated modules over a finite dimensional quasi-hereditary algebra A . The construction starts with a full exceptional sequence of line bundles on X and uses universal extensions. If X is any smooth projective variety...

Tissus du plan et polynômes de Darboux

Olivier Ripoll, Julien Sebag (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

Dans cet article, nous étudions le problème de l’existence de polynômes de Darboux dans C { x } y , y pour la dérivation δ = R ( y ) x + R ( y ) y y - V ( y , y ) y .

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