Théorèmes de Lefschetz pour les lieux de dégénérescence
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 in P5 with a 3-dimensional family of plane curves.
Threefolds of degree 9 and 10 in P5.
Topological Classification of 4-Dimensional Complete Intersections.
Topological equisingularity for isolated complete intersection singularities
Topological properties of certain incomplete regular intersections
Topological triviality of versal unfoldings of complete intersections
We obtain algebraic and geometric conditions for the topological triviality of versal unfoldings of weighted homogeneous complete intersections along subspaces corresponding to deformations of maximal weight. These results are applied: to infinite families of surface singularities in which begin with the exceptional unimodular singularities, to the intersection of pairs of generic quadrics, and to certain curve singularities.The algebraic conditions are related to the operation of adjoining powers,...
Toric and tropical compactifications of hyperplane complements
These lecture notes survey and compare various compactifications of complex hyperplane arrangement complements. In particular, we review the Gelfand-MacPherson construction, Kapranov’s visible contours compactification, and De Concini and Procesi’s wonderful compactification. We explain how these constructions are unified by some ideas from the modern origins of tropical geometry.
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...
Toric hyperkähler varieties.
Toric varieties in phylogenetics [Book]
Toric varieties, lattice points and Dedekind sums.
Torsion in K2 of fields and 0-cycles on rational surfaces.
Torsion of differentials on toric varieties.
Total cofibres of diagrams of spectra.
Total positivity for cominuscule Grassmannians.
Toward a general theory of linking invariants.
Traces in strict Frobenius algebras and strict complete intersections.
Transformation Groups on Homogeneous-Rational Manifolds.