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|b .Z37 1951eb
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|a 510.8
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Zariski, Oscar,
|e author.
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| 245 |
1 |
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|a Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields /
|c Oscar Zariski.
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| 264 |
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1 |
|a Providence, Rhode Island :
|b American Mathematical Society,
|c [1951]
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| 264 |
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4 |
|c ©1951
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| 300 |
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|a 1 online resource (99 pages)
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v number 5 (1951)
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| 500 |
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|a Cover title.
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| 504 |
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|a Includes bibliographical references.
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|a Print version record.
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|a Introduction -- Part I: General Theory of Holomorphic Functions -- 1. Strongly holomorphic functions -- 2. Strongly holomorphic functions on afflne models -- 3. The general concept of a holomorphic function -- 4. Rational holomorphic functions. Some unsolved problems -- 5. Digression on algebraic points -- 6. Holomorphic functions, analytical irreducibility and a connectedness criterion -- 7. Analytical Irreducibility and normalization -- 8. Some lemmas on m-adic rings -- 9. Holomorphic functions on afflne models.
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| 505 |
8 |
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|a Part II: Invariance of Rings of Holomorphic Functions under Rational Transformations -- 10. Holomorphic functions and semi-regular birational transformations -- 11. Absolute birational Invariance of rings of holomorphic functions -- 12. Reduction of the proof of the fundamental theorem to a special case -- 13. The birational transformation V --> Vot -- 14. Proof of the fundamental theorem in the case of the transformation V --> Vot -- 15. Last step of the proof of the fundamental theorem: transition to the derived normal model Vot.
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| 505 |
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|a 16. Extension of the fundamental theorem to rational transformations -- 17. Reduction of the proof to a special case -- 18. The rational transformation V --> Vot -- 19. The transformation Vot --> Vot -- Part III: The Principle of Degeneration -- 20. A connectedness theorem for algebraic correspondences -- 21. Algebraic systems of r-cycles -- 22. Proof of the principle of degeneration.
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Algebraic functions.
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| 650 |
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6 |
|a Fonctions algébriques.
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| 650 |
|
7 |
|a Algebraic functions
|2 fast
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| 758 |
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|i has work:
|a Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG8cJF3fr9tvdfPbRWtrpX
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Zariski, Oscar.
|t Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields.
|d Providence, Rhode Island : American Mathematical Society, [1951]
|h 90 ; 25 cm
|k Memoirs of the American Mathematical Society ; number 5 (1951)
|x 0065-9266
|z 9780821812051
|
| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 5.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113715
|z Texto completo
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| 936 |
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|a BATCHLOAD
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|b EBLB
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|a ebrary
|b EBRY
|n ebr10882374
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| 994 |
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|a 92
|b IZTAP
|
