Babbage's Conjecture, Contact of Surfaces, Symmetric Determinantal Varieties and Applications.
Babylonian Tower Theorems on the Punctured Spectrum.
Bar-invariant bases of the quantum cluster algebra of type
We construct bar-invariant -bases of the quantum cluster algebra of the valued quiver , one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974.
Barth-Lefschetz theorems for singular spaces.
Bases canoniques et applications
Bemerkungen über Zusammenhangseigenschaften und mengentheoretische Darstellung projektiver algebraischer Mannigfaltigkeiten
Bertini theorems for weak normality
Biliaisons élémentaires en codimension 2
Un théorème de Strano montre que si une courbe gauche localement Cohen-Macaulay n’est pas minimale dans sa classe de biliaison, elle admet une biliaison élémentaire strictement décroissante. R. Hartshorne a récemment donné une nouvelle preuve de ce résultat en le plaçant dans un contexte plus général. Dans cet article on apporte une précision, en utilisant les techniques introduites par Hartshorne : on montre que si un sous-schéma de codimension localement Cohen-Macaulay de n’est pas minimal...
Binomial residues
A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singular along binomial divisors. Binomial residues provide an integral representation for rational solutions of -hypergeometric systems of Lawrence type. The space of binomial residues of a given degree, modulo those which are polynomial in some variable, has dimension equal to the Euler characteristic of the matroid associated with .
Birational invariants in the case of prime characteristic.
Birational invariants of algebraic varieties.
Bornes pour la régularité de Castelnuovo-Mumford des schémas non lisses
Nous montrons dans cet article des bornes pour la régularité de Castelnuovo-Mumford d’un schéma admettant des singularités, en fonction des degrés des équations définissant le schéma, de sa dimension et de la dimension de son lieu singulier. Dans le cas où les singularités sont isolées, nous améliorons la borne fournie par Chardin et Ulrich et dans le cas général, nous établissons une borne doublement exponentielle en la dimension du lieu singulier.
Boundedness for codimension two submanifolds of quadrics.
It is proved that there are only finitely many families of codimension two subvarieties not of general type in Q6.
Boundedness for threefolds in P6 containing a smooth ruled surface as hyperplane section.
Let X ⊂ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove that there exists a constant β such that for all X containing a smooth ruled surface as hyperplane section and not contained in a fourfold of degree less than or equal to 15, d ≤ β. Under some more restrictive hypothesis we prove an analogous result for threefolds containing a smooth ruled surface as hyperplane section and contained in a fourfold of degree less than or equal to 15.
Bounding the degrees of generators of a homogeneous dimension 2 toric ideal.
Bounding the Number of Connected Components of a Real Algebraic Set.
Bounds and definablity over fields.
Bounds for Castelnuovo's regularity and the genus of projective varieties
Bounds for the anticanonical bundle of a homogeneous projective rational manifold.
Bounds for the multiplicity of almost complete intersections.