Cohomology of a general instanton bundle
Cohomology of Algebras Relative to a Variety.
Cohomology of coherent sheaves and series of supernatural bundles
We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.
Cohomology of Compact Hyperkähler Manifolds and its Applications.
Cohomology of desingularization of moduli space of vector bundles
Cohomology of for classical complex Lie supergroups and characters of some atypical -modules
We compute the unique nonzero cohomology group of a generic - linearized locally free -module, where is the identity component of a complex classical Lie supergroup and is an arbitrary parabolic subsupergroup. In particular we prove that for this cohomology group is an irreducible -module. As an application we generalize the character formula of typical irreducible -modules to a natural class of atypical modules arising in this way.
Cohomology of infinitesimal algebraic groups.
Cohomology of Infinitesimal and Discrete Groups.
Cohomology of integer matrices and local-global divisibility on the torus
Let be a prime and let be a -group of matrices in , for some integer . In this paper we show that, when , a certain subgroup of the cohomology group is trivial. We also show that this statement can be false when . Together with a result of Dvornicich and Zannier (see [2]), we obtain that any algebraic torus of dimension enjoys a local-global principle on divisibility by .
Cohomology of line bundles on
Cohomology of line bundles on
Cohomology of local systems on the complement of hyperplanes.
Cohomology of local systems on the complement of hyperplanes (Erratum).
Cohomology of moduli spaces of stable curves.
Cohomology of non-complete algebraic varieties
Cohomology of projective varieties with regular SL2 actions.
Cohomology of purely inseparable Galois coverings.
Cohomology of the boundary of Siegel modular varieties of degree two, with applications
Let 𝓐₂(n) = Γ₂(n)∖𝔖₂ be the quotient of Siegel's space of degree 2 by the principal congruence subgroup of level n in Sp(4,ℤ). This is the moduli space of principally polarized abelian surfaces with a level n structure. Let 𝓐₂(n)* denote the Igusa compactification of this space, and ∂𝓐₂(n)* = 𝓐₂(n)* - 𝓐₂(n) its "boundary". This is a divisor with normal crossings. The main result of this paper is the determination of H(∂𝓐₂(n)*) as a module over the finite group Γ₂(1)/Γ₂(n). As an application...
Cohomology of the G-Hilbert Scheme for 1/r(1,1,R−1)
2000 Mathematics Subject Classification: Primary 14E15; Secondary 14C05,14L30.In this note we attempt to generalize a few statements drawn from the 3-dimensional McKay correspondence to the case of a cyclic group not in SL(3, C). We construct a smooth, discrepant resolution of the cyclic, terminal quotient singularity of type 1/r(1,1,r−1), which turns out to be isomorphic to Nakamura’s G-Hilbert scheme. Moreover we explicitly describe tautological bundles and use them to construct a dual basis to...
Cohomology of the infinitesimal site