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• Sheaf_cohomology abstract "In mathematics, sheaf cohomology is the aspect of sheaf theory, concerned with sheaves of abelian groups, that applies homological algebra to make possible effective calculation of the global sections of a sheaf F. This is the main step, in numerous areas, from sheaf theory as a description of a geometric problem, to its use as a tool capable of calculating dimensions of important geometric invariants.Its development was rapid in the years after 1950, when it was realised that sheaf cohomology was connected with more classical methods applied to the Riemann-Roch theorem, the analysis of a linear system of divisors in algebraic geometry, several complex variables, and Hodge theory. The dimensions or ranks of sheaf cohomology groups became a fresh source of geometric data, or gave rise to new interpretations of older work.".
• Sheaf_cohomology wikiPageExternalLink sheaf-cohomology-what-is-it-and-where-can-i-learn-it.
• Sheaf_cohomology wikiPageExternalLink sheaf-cohomology-and-injective-resolutions.
• Sheaf_cohomology wikiPageID "1055357".
• Sheaf_cohomology wikiPageLength "9341".
• Sheaf_cohomology wikiPageOutDegree "80".
• Sheaf_cohomology wikiPageRevisionID "680730787".
• Sheaf_cohomology wikiPageWikiLink Abelian_category.
• Sheaf_cohomology wikiPageWikiLink Abelian_group.
• Sheaf_cohomology wikiPageWikiLink Alexander_Grothendieck.
• Sheaf_cohomology wikiPageWikiLink Alexandre_Grothendieck.
• Sheaf_cohomology wikiPageWikiLink Algebraic_Geometry_(book).
• Sheaf_cohomology wikiPageWikiLink Algebraic_geometry.
• Sheaf_cohomology wikiPageWikiLink Almost_all.
• Sheaf_cohomology wikiPageWikiLink Alternating_series.
• Sheaf_cohomology wikiPageWikiLink Alternating_sum.
• Sheaf_cohomology wikiPageWikiLink Betti_number.
• Sheaf_cohomology wikiPageWikiLink Borel-Bott-Weil_theorem.
• Sheaf_cohomology wikiPageWikiLink Borel-Moore_homology.
• Sheaf_cohomology wikiPageWikiLink Borel–Moore_homology.
• Sheaf_cohomology wikiPageWikiLink Borel–Weil–Bott_theorem.
• Sheaf_cohomology wikiPageWikiLink Branch_cut.
• Sheaf_cohomology wikiPageWikiLink Branch_point.
• Sheaf_cohomology wikiPageWikiLink Category:Cohomology_theories.
• Sheaf_cohomology wikiPageWikiLink Category:Homological_algebra.
• Sheaf_cohomology wikiPageWikiLink Category:Sheaf_theory.
• Sheaf_cohomology wikiPageWikiLink Category:Topological_methods_of_algebraic_geometry.
• Sheaf_cohomology wikiPageWikiLink Chain_complex.
• Sheaf_cohomology wikiPageWikiLink Cochain.
• Sheaf_cohomology wikiPageWikiLink Coherent_cohomology.
• Sheaf_cohomology wikiPageWikiLink Coherent_sheaf.
• Sheaf_cohomology wikiPageWikiLink Cohomology.
• Sheaf_cohomology wikiPageWikiLink Cohomology_group.
• Sheaf_cohomology wikiPageWikiLink Complex_manifold.
• Sheaf_cohomology wikiPageWikiLink Complex_number.
• Sheaf_cohomology wikiPageWikiLink Constant_sheaf.
• Sheaf_cohomology wikiPageWikiLink Contractible_space.
• Sheaf_cohomology wikiPageWikiLink Cousin_problems.
• Sheaf_cohomology wikiPageWikiLink Crystalline_cohomology.
• Sheaf_cohomology wikiPageWikiLink Derived_functor.
• Sheaf_cohomology wikiPageWikiLink Dimension_(vector_space).
• Sheaf_cohomology wikiPageWikiLink Euler_characteristic.
• Sheaf_cohomology wikiPageWikiLink Exact_functor.
• Sheaf_cohomology wikiPageWikiLink Exact_sequence.
• Sheaf_cohomology wikiPageWikiLink Existence_theorem.
• Sheaf_cohomology wikiPageWikiLink Exponential_sequence.
• Sheaf_cohomology wikiPageWikiLink Exponential_sheaf_sequence.
• Sheaf_cohomology wikiPageWikiLink Finiteness_theorem_for_a_proper_morphism.
• Sheaf_cohomology wikiPageWikiLink Flat_cohomology.
• Sheaf_cohomology wikiPageWikiLink Flat_topology.
• Sheaf_cohomology wikiPageWikiLink Functor.
• Sheaf_cohomology wikiPageWikiLink Fundamental_group.
• Sheaf_cohomology wikiPageWikiLink Global_section.
• Sheaf_cohomology wikiPageWikiLink Global_section_functor.
• Sheaf_cohomology wikiPageWikiLink Godement.
• Sheaf_cohomology wikiPageWikiLink Grothendieck-Riemann-Roch_theorem.
• Sheaf_cohomology wikiPageWikiLink Grothendieck–Riemann–Roch_theorem.
• Sheaf_cohomology wikiPageWikiLink Group_action.
• Sheaf_cohomology wikiPageWikiLink Hausdorff_space.
• Sheaf_cohomology wikiPageWikiLink Hirzebruch-Riemann-Roch_theorem.
• Sheaf_cohomology wikiPageWikiLink Hirzebruch–Riemann–Roch_theorem.
• Sheaf_cohomology wikiPageWikiLink Hodge_theory.
• Sheaf_cohomology wikiPageWikiLink Homological_algebra.
• Sheaf_cohomology wikiPageWikiLink Homology_(mathematics).
• Sheaf_cohomology wikiPageWikiLink Homology_theory.
• Sheaf_cohomology wikiPageWikiLink Injective_resolution.
• Sheaf_cohomology wikiPageWikiLink Injective_sheaf.
• Sheaf_cohomology wikiPageWikiLink Jean-Pierre_Serre.
• Sheaf_cohomology wikiPageWikiLink John_Wiley_&_Sons.
• Sheaf_cohomology wikiPageWikiLink Left_exact_functor.
• Sheaf_cohomology wikiPageWikiLink Linear_system_of_divisors.
• Sheaf_cohomology wikiPageWikiLink Local_coefficients.
• Sheaf_cohomology wikiPageWikiLink Local_system.
• Sheaf_cohomology wikiPageWikiLink Locally_compact_space.
• Sheaf_cohomology wikiPageWikiLink Locally_constant_function.
• Sheaf_cohomology wikiPageWikiLink Locally_contractible.
• Sheaf_cohomology wikiPageWikiLink Logarithm.
• Sheaf_cohomology wikiPageWikiLink Long_exact_sequence.
• Sheaf_cohomology wikiPageWikiLink Manifold.
• Sheaf_cohomology wikiPageWikiLink MathOverflow.
• Sheaf_cohomology wikiPageWikiLink Mathematics.
• Sheaf_cohomology wikiPageWikiLink Meromorphic_function.
• Sheaf_cohomology wikiPageWikiLink Module_(mathematics).
• Sheaf_cohomology wikiPageWikiLink Module_theory.
• Sheaf_cohomology wikiPageWikiLink Open_set.
• Sheaf_cohomology wikiPageWikiLink Proper_base_change_theorem.
• Sheaf_cohomology wikiPageWikiLink Rank_of_an_abelian_group.
• Sheaf_cohomology wikiPageWikiLink Representation_theory.
• Sheaf_cohomology wikiPageWikiLink Resolution_(algebra).
• Sheaf_cohomology wikiPageWikiLink Riemann-Roch_theorem.
• Sheaf_cohomology wikiPageWikiLink Riemann–Roch_theorem.
• Sheaf_cohomology wikiPageWikiLink Roger_Godement.
• Sheaf_cohomology wikiPageWikiLink Several_complex_variables.
• Sheaf_cohomology wikiPageWikiLink Sheaf_(mathematics).
• Sheaf_cohomology wikiPageWikiLink Sheaf_theory.
• Sheaf_cohomology wikiPageWikiLink Short_exact_sequence.
• Sheaf_cohomology wikiPageWikiLink Singular_cohomology.
• Sheaf_cohomology wikiPageWikiLink Singular_homology.
• Sheaf_cohomology wikiPageWikiLink Springer-Verlag.
• Sheaf_cohomology wikiPageWikiLink Springer_Science+Business_Media.

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