Three-dimensional terminal toric flips
We describe three-dimensional terminal toric flips. We obtain the complete local description of three-dimensional terminal toric flips.
Threefolds and deformations of surface singularities.
Threefolds with nef anticanonical bundles.
In this paper we study the global structure of projective threefolds X whose anticanonical bundle -KX is nef.
Tie transformations of Dynkin graphs and singularities on quartic surfaces.
Topological equisingularity for isolated complete intersection singularities
Topologie d'un polynôme de deux variables complexes au voisinage de l'infini
Nous donnons un système complet d’invariants de la classe de conjugaison topologique de polynômes de en dehors d’un compact suffisamment grand dans les deux sens suivants : en tant que feuilletages (en oubliant les valeurs des fibres) et en tant que fonctions. Ces invariants sont donnés par un arbre pondéré, fléché et coloré, obtenu à partir de la résolution des singularités du polynôme sur la droite à l’infini. Nous donnons un critère de régularité pour les valeurs d’un polynôme et une description...
Toric embedded resolutions of quasi-ordinary hypersurface singularities
We build two embedded resolution procedures of a quasi-ordinary singularity of complex analytic hypersurface, by using toric morphisms which depend only on the characteristic monomials associated to a quasi-ordinary projection of the singularity. This result answers an open problem of Lipman in Equisingularity and simultaneous resolution of singularities, Resolution of Singularities, Progress in Mathematics No. 181, 2000, 485- 503. In the first procedure the singularity is...
Toroidal Degeneration of Abelian Varieties. II.
Torus embeddings, polyhedra, k*-actions and homology [Book]
Toward parametric Cohen-Macaulayfication of two-dimensional finite local cohomology domains.
Towards a Mori theory on compact Kähler threefolds III
Based on the results of the first two parts to this paper, we prove that the canonical bundle of a minimal Kähler threefold (i.e. is nef) is good,i.e.its Kodaira dimension equals the numerical Kodaira dimension, (in particular some multiple of is generated by global sections); unless is simple. “Simple“ means that there is no compact subvariety through the very general point of and not Kummer. Moreover we show that a compact Kähler threefold with only terminal singularities whose canonical...
Towards the classification of weak Fano threefolds with ρ = 2
In this paper, examples of type II Sarkisov links between smooth complex projective Fano threefolds with Picard number one are provided. To show examples of these links, we study smooth weak Fano threefolds X with Picard number two and with a divisorial extremal ray. We assume that the pluri-anticanonical morphism of X contracts only a finite number of curves. The numerical classification of these particular smooth weak Fano threefolds is completed and the geometric existence of some numerical cases...
Transformations birationnelles quadratiques de l'espace projectif complexe à trois dimensions
Nous classifions les transformations birationnelles quadratiques de l'espace projectif complexe de dimension trois, à des isomorphismes linéaires près. Elles sont de trois sortes, selon que le degré de leur inverse est 2, 3 ou 4. Il y a en tout 30 types différents; en 1871, L. Cremona en avait déjà décrit 23.
Transversalité obtenue par éclatements permis
Trasformazioni birazionali di ordine primo del piano proiettivo
Triple Solids with Sectional Genus three.
T-symmetrical tensor forms on complete intersections.
Twisted cotangent sheaves and a Kobayashi-Ochiai theorem for foliations
Let be a normal projective variety, and let be an ample Cartier divisor on . Suppose that is not the projective space. We prove that the twisted cotangent sheaf is generically nef with respect to the polarisation . As an application we prove a Kobayashi-Ochiai theorem for foliations: if is a foliation such that , then is at most the rank of .
Two Dimensional Quotient Singularities Deform to Quotient Singularities.
Two Reduction Theorems for Threefold Birational Morphisms.