The topological nature of algebraic contractions
Displaying 81 – 100 of 118
The transversality of a general translate
Steven L. Kleiman (1974)
Compositio Mathematica
The tropical Grassmannian.
Speyer, David, Sturmfels, Bernd (2004)
Advances in Geometry
The universal rank-(n-1) bundle on G(i,n) restricted to subvarieties.
Enrique Arrondo (1998)
Collectanea Mathematica
We classify those smooth (n-1)-folds in G(1,Pn) for which the restriction of the rank-(n-1) universal bundle has more than n+1 independent sections. As an application, we classify also those (n-1)-folds for which that bundle splits.
The variety of an indecomposable module is connected.
Jon F. Carlson (1984)
Inventiones mathematicae
Théorème de Torelli affine pour les intersections de deux quadriques.
J.Y. Merindol (1985)
Inventiones mathematicae
Théorèmes d'annulation sur certaines variétés projectives.
Laurent Manivel (1996)
Commentarii mathematici Helvetici
Théorèmes de Lefschetz pour les lieux de dégénérescence
Olivier Debarre (2000)
Bulletin de la Société Mathématique de France
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 in P5 with a 3-dimensional family of plane curves.
Emilia Mezzetti, Dario Portelli (1996)
Manuscripta mathematica
Threefolds of degree 9 and 10 in P5.
M. Beltramett, M. Schneider (1990)
Mathematische Annalen
Topological Classification of 4-Dimensional Complete Intersections.
Fang Fuquan, Stepfan Klaus (1996)
Manuscripta mathematica
Topological equisingularity for isolated complete intersection singularities
A. J. Parameswaran (1991)
Compositio Mathematica
Topological properties of certain incomplete regular intersections
Н.Ю. Нецветаев (1984)
Zapiski naucnych seminarov Leningradskogo
Topological triviality of versal unfoldings of complete intersections
James Damon (1984)
Annales de l'institut Fourier
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
Graham Denham (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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
Pedro D. González Pérez (2003)
Annales de l’institut Fourier
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.
Hausel, Tamás, Sturmfels, Bernd (2002)
Documenta Mathematica
Toric varieties in phylogenetics [Book]
M. Michałek (2015)
Toric varieties, lattice points and Dedekind sums.
James E. Pommersheim (1993)
Mathematische Annalen