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Cohomology groups and genera of higher-dimensional fields

Author: Ernst Snapper
Publisher: Providence, R.I. : American Mathematical Society, 1957.
Series: Memoirs of the American Mathematical Society, no. 28.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Snapper, Ernst, 1913-
Cohomology groups and genera of higher-dimensional fields.
Providence, R.I. : American Mathematical Society, 1957
(OCoLC)652324589
Document Type: Book
All Authors / Contributors: Ernst Snapper
OCLC Number: 2085390
Description: 100 pages ; 26 cm.
Contents: Introduction --
Part I. Transitive systems of sheaves ; Direct and inverse limits --
Regular mappings and sheaf homomorphisms --
Transitive systems of sheaves and their limits --
Transitive systems and their cohomology groups --
Exact sequences of transitive systems --
Exact cohomology sequences for transitive systems --
Part II. The transitive system of projective models ; The Zariski topology --
The sheaf of local rings --
The transitive system of projective models --
The Riemann manifold --
The sheaf of valuation rings, cohomology groups and genera of E --
The sheaf of valuation rings as limit of the transitive system of projective models --
Part III. The numbers h [superscript]q ([superscript]E/k) --
Affine models --
Affine models under birational transformations --
Cohomology groups under birational transformations --
The class Ct --
Cohomology groups under normalization --
The geometric genus of [superscript]E/k --
Part IV. Cohomology groups under places ; Subvarieties --
The map induced by a place --
The exact cohomology sequence, associated with a place.
Series Title: Memoirs of the American Mathematical Society, no. 28.
Responsibility: by Ernst Snapper.

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