Local cohomology and the connectedness dimension in algebraic varieties

DOI10.1007/BF02621928zbMath0578.14019OpenAlexW2086484895MaRDI QIDQ1066217

Josef Rung, Markus P. Brodmann

Publication date: 1986

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140064

zbMATH Keywords

local cohomologyintersectionsfibersBertini theoremsconnectedness theoremsconnectedness dimensionnoetherian scheme

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Dimension theory in general topology (54F45) Local cohomology and algebraic geometry (14B15) Topological properties in algebraic geometry (14F45)

Related Items (10)

THE LICHTENBAUM-HARTSHORNE THEOREM FOR GENERALIZED LOCAL COHOMOLOGY AND CONNECTEDNESS ⋮ The Fontaine-Mazur conjecture in the residually reducible case ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ A connectedness result in positive characteristic ⋮ Cofiniteness of local cohomology modules for ideals of dimension one ⋮ Discrete valuations centered on local domains ⋮ Asymptotic Depth and Connectedness in Projective Schemes ⋮ When are multidegrees positive? ⋮ Automorphy lifting for residually reducible 𝑙-adic Galois representations ⋮ Bounds on the cohomological Hilbert functions of a projective variety

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