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Displaying 1301 – 1320 of 8839

Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules

Ivan Penkov, Vera Serganova (1989)

Annales de l'institut Fourier

We compute the unique nonzero cohomology group of a generic $G^{0}$ - linearized locally free $𝒪$ -module, where $G^{0}$ is the identity component of a complex classical Lie supergroup $G$ and $P ↪ G^{0}$ is an arbitrary parabolic subsupergroup. In particular we prove that for $G \neq ℙ (m), S ℙ (m)$ this cohomology group is an irreducible $G^{0}$ -module. As an application we generalize the character formula of typical irreducible $G^{0}$ -modules to a natural class of atypical modules arising in this way.

Cohomology of infinitesimal algebraic groups.

M. Kaneda, N. Shimada, M. Tezuka (1990)

Mathematische Zeitschrift

Cohomology of Infinitesimal and Discrete Groups.

Eric M. Friedlander, Brian J. Parshall (1985/1986)

Mathematische Annalen

Cohomology of integer matrices and local-global divisibility on the torus

Marco Illengo (2008)

Journal de Théorie des Nombres de Bordeaux

Let $p \neq 2$ be a prime and let $G$ be a $p$ -group of matrices in ${SL}_{n} (ℤ)$ , for some integer $n$ . In this paper we show that, when $n < 3 (p - 1)$ , a certain subgroup of the cohomology group $H^{1} (G, 𝔽_{p}^{n})$ is trivial. We also show that this statement can be false when $n \geq 3 (p - 1)$ . Together with a result of Dvornicich and Zannier (see [2]), we obtain that any algebraic torus of dimension $n < 3 (p - 1)$ enjoys a local-global principle on divisibility by $p$ .

Cohomology of line bundles on $G / B$

Lakshmi Bai, C. Musili, C. S. Seshadri (1974)

Annales scientifiques de l'École Normale Supérieure

Cohomology of line bundles on $G / B$

Henning Haahr Andersen (1979)

Annales scientifiques de l'École Normale Supérieure

Cohomology of local systems on the complement of hyperplanes.

Hélène Esnault, Vadim Schechtmann (1992)

Inventiones mathematicae

Cohomology of local systems on the complement of hyperplanes (Erratum).

H. Esnault, V. Schechtmann (1993)

Inventiones mathematicae

Cohomology of moduli spaces of stable curves.

Cornalba, Maurizio (1998)

Documenta Mathematica

Cohomology of non-complete algebraic varieties

Robin Hartshorne (1971)

Compositio Mathematica

Cohomology of projective varieties with regular SL2 actions.

J.B. Carrell, E. Akyildiz (1987)

Manuscripta mathematica

Cohomology of purely inseparable Galois coverings.

Raymond T. Hoobler (1974)

Journal für die reine und angewandte Mathematik

Cohomology of the boundary of Siegel modular varieties of degree two, with applications

J. William Hoffman, Steven H. Weintraub (2003)

Fundamenta Mathematicae

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)

Kędzierski, Oskar (2004)

Serdica Mathematical Journal

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

Arthur Ogus (1975)

Annales scientifiques de l'École Normale Supérieure

Cohomology of torus bundles over Kuga fiber varieties.

Lee, Min Ho (2008)

Beiträge zur Algebra und Geometrie

Cohomology on affinoid spaces

M. Van der Put (1982)

Compositio Mathematica

Cohomology, symmetry and perfection.

Emili Bifet (1992)

Publicacions Matemàtiques

We explain the philosophy behind the computations in [BDP] and place them in a wider conceptual setting. We also outline, for toric varieties, the resulting equivalent approach to some key results in that theory.

Cohomology with Compact Supports for Coherent Sheaves on an Algebraic Variety.

Robin Hartshorne (1971)

Mathematische Annalen

Cohomology with compact supports for q-complete spaces.

Viorel Vajaitu (1993)

Journal für die reine und angewandte Mathematik

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