Classification of Maximal Rank Curves in the Liasion Class Ln.
Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type.
Classification of obstructions for separation of semialgebraic sets in dimension 3.
Applying general results on separation of semialgebraic sets and spaces of orderings, we produce a catalogue of all possible geometric obstructions for separation of 3-dimensional semialgebraic sets and give some hints on how separation can be made decidable.
Classification of projective surfaces with small sectional genus : char >
Classification of singularities at infinity of polynomials of degree 4 in two variables.
Classification of smooth congruences of low degree.
Classification of spherical varieties
We give a short introduction to the problem of classification of spherical varieties, by presenting the Luna conjecture about the classification of wonderful varieties and illustrating some of the related currently known results.
Classification of strict wonderful varieties
In the setting of strict wonderful varieties we prove Luna’s conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that primitive strict wonderful varieties are mostly obtained from symmetric spaces, spherical nilpotent orbits and model spaces. To make the paper as self-contained as possible, we also gather some known results on these families and more generally on wonderful varieties.
Classification of Supersingular Abelian Varieties.
Classification of Topological Types of Isolated quasi-homogeneous Two Dimensional Hypersurface Singularities.
Classification of Vector Bundles of Rank 2 on Hyperelliptic Curves
Classifying Hilbert functions of fat point subschemes in P^2.
Clifford’s Theorem for real algebraic curves
We establish, for smooth projective real curves, an analogue of the classical Clifford inequality known for complex curves. We also study the cases when equality holds.
Closedness of morphisms of differential algebraic sets. Applications to system theory.
Closedness of regular -forms on algebraic surfaces
Closure Theorem for Partially Semialgebraic Sets
In 1988 it was proved by the first author that the closure of a partially semialgebraic set is partially semialgebraic. The essential tool used in that proof was the regular separation property. Here we give another proof without using this tool, based on the semianalytic L-cone theorem (Theorem 2), a semianalytic analog of the Cartan-Remmert-Stein lemma with parameters.
Closures of Conjugacy Classes of Matrices are Normal.
Closures of SL(2)-Orbits in Projective Spaces.
Clôture intégrale des idéaux et équisingularité
This text has two parts. The first one is the essentially unmodified text of our 1973-74 seminar on integral dependence in complex analytic geometry at the Ecole Polytechnique with J-J. Risler’s appendix on the Łojasiewicz exponents in the real-analytic framework. The second part is a short survey of more recent results directly related to the content of the seminar.The first part begins with the definition and elementary properties of the order function associated to an ideal of a reduced analytic...
Cluster ensembles, quantization and the dilogarithm
A cluster ensemble is a pair of positive spaces (i.e. varieties equipped with positive atlases), coming with an action of a symmetry group . The space is closely related to the spectrum of a cluster algebra [12]. The two spaces are related by a morphism . The space is equipped with a closed -form, possibly degenerate, and the space has a Poisson structure. The map is compatible with these structures. The dilogarithm together with its motivic and quantum avatars plays a central role...