Residues, currents, and their relation to ideals of holomorphic functions.
Resolution of quasi-homogeneous singularities and plurigenera
Resolutions of generic points lying on a smooth quadric.
Resolutions of homogeneous bundles on
We characterize minimal free resolutions of homogeneous bundles on . Besides we study stability and simplicity of homogeneous bundles on by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal resolution in the case the first bundle of the resolution is irreducible.
Résolvandes et espaces homogènes principaux de schémas en groupe
Restriction of stable sheaves and representations of the fundamental group.
Résultats sur la conjecture de dualité étrange sur le plan projectif
La conjecture de « dualité étrange » de Le Potier donne un isomorphisme entre l’espace des sections du fibré déterminant sur deux espaces de modules différents de faisceaux semi-stables sur le plan projectif . On considère deux classes orthogonales dans l’algèbre de Grothendieck telles que est de rang strictement positif et est de rang zéro, et on note et les espaces de modules de faisceaux semi-stables de classe , respectivement sur . Il existe sur (resp. ) un fibré déterminant...
Riemann sums over polytopes
It is well-known that the -th Riemann sum of a compactly supported function on the real line converges to the Riemann integral at a much faster rate than the standard rate of convergence if the sum is over the lattice, . In this paper we prove an n-dimensional version of this result for Riemann sums over polytopes.
Rings of Hilbert modular forms
Rings of Invariants and Linkage of Determinantal Ideals.
Ropes on a line embedded in a Grassmannian variety.
Sagbi bases with applications to blow-up algebras.
Scalar product of Dirichlet series and the distribution of integer points on toric varieties.
Schichten von Matrizen sind rationale Varietäten.
Schubert functions and the number of reduced words of permutations.
Schubert varieties and Demazure's character formula.
Schubert varieties and representations of Dynkin quivers
We show that the types of singularities of Schubert varieties in the flag varieties Flagₙ, n ∈ ℕ, are equivalent to the types of singularities of orbit closures for the representations of Dynkin quivers of type 𝔸. Similarly, we prove that the types of singularities of Schubert varieties in products of Grassmannians Grass(n,a) × Grass(n,b), a, b, n ∈ ℕ, a, b ≤ n, are equivalent to the types of singularities of orbit closures for the representations of Dynkin quivers of type 𝔻. We also show that...
Schubert varieties and standard monomial theory
Schubert varieties are arithmetically Cohen-Macaulay.
Schubert varieties in