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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.

Complex Subspaces of Homogeneous Complex Manifolds. I. Submanifolds of Abelian Varieties.

Andrew John Sommese (1978)

Mathematische Annalen

Convex bodies and algebraic geometry [Book]

Tadao Oda (1988)

Correction to “Cohomology of line bundles on $G / B$ ”

Lakshmi Bai, C. Musili, C. S. Seshadri (1975)

Annales scientifiques de l'École Normale Supérieure

Correspondence homomorphisms for singular varieties

Eric M. Friedlander, Barry Mazur (1994)

Annales de l'institut Fourier

We study certain kinds of geometric correspondences between (possibly singular) algebraic varieties and we obtain comparison results regarding natural filtrations on the homology of varieties.

Deformation of the nilpotent zero scheme and the intersection ring of invariant subvarieties.

James B. Carrell (1995)

Journal für die reine und angewandte Mathematik

Die Homologiegruppen der Umgebungsränder gewisser Kegelspitzen

G. SCHIEMANN (1977)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Die Homologiegruppen singularitätenfreier algebraischer Hyperflächen

GÜNTHER SCHIEMANN (1979)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Dimension cohomologique des groupes algébriques commutatifs

Hiroshi Umemura (1972)

Annales scientifiques de l'École Normale Supérieure

Euler characteristics of moduli spaces of curves

Gilberto Bini, John Harer (2011)

Journal of the European Mathematical Society

Let $M_{g}^{n}$ be the moduli space of $n$ -pointed Riemann surfaces of genus $g$ . Denote by $\bar{M_{g}^{n}}$ the Deligne-Mumford compactification of $M_{g}^{n}$ . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of $\bar{M_{g}^{n}}$ for any $g$ and $n$ such that $n > 2 - 2 g$ .

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Displaying 21 – 40 of 106

Cohomological Dimension of Non-Complete Hypersurfaces.

Cohomologically insignificant degenerations of algebraic varieties

Cohomologie de Galois et cohomologie des variétés algébriques réelles ; applications aux surfaces rationnelles

Cohomology of line bundles on $G / B$

Cohomology of non-complete algebraic varieties

Cohomology of projective varieties with regular SL2 actions.

Cohomology, symmetry and perfection.