Sard and Bertini type theorems for complex spaces

DOI10.1007/BF01765156zbMath0498.32013MaRDI QIDQ1171195

Mirella Manaresi

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

complex spaceBertini theoremSard theoremfibre of holomorphic map

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Complex spaces (32C15) Complex singularities (32Sxx) Cycles and subschemes (14C99)

Related Items (11)

An axiomatic approach to the second theorem of Bertini ⋮ Vanishing and nonvanishing theorems for numerically effective bundles on complex spaces ⋮ On the restriction formula ⋮ Relative Bertini type theorem for multiplier ideal sheaves ⋮ On the 4-dimensional minimal model program for Kähler varieties ⋮ On the log abundance for compact Kähler threefolds ⋮ Extension of analytic covers by extension of their ramification divisors ⋮ A weak version of the Lipman-Zariski conjecture ⋮ Injectivity theorem for pseudo-effective line bundles and its applications ⋮ A numerical criterion for simultaneous normalization ⋮ Open subsets in a Stein space with singularities

Cites Work

• Holomorphe und meromorphe Abbildungen komplexer Räume
• Complex analytic geometry
• Die Sätze von Bertini für lokale Ringe
• Points de platitude d'un morphisme d'espaces analytiques complexes
• Gap-sheaves and extension of coherent analytic subsheaves
• Noether-Lasker Decomposition of Coherent Analytic Subsheaves
• A Note on a Generic Hyperplane Section of an Algebraic Variety
• The Hyperplane Sections of Normal Varieties
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