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I'd like to write about the fundamenal theorems about the classification of algebraic varieties.-- Enyokoyama ( talk) 15:11, 16 June 2013 (UTC)
I add a chapter titled "Iitaka conjecture," which had been a big motivation for the classification theory of algebraic varieties. I'd like to improve this chapter for someone professional.-- Enyokoyama ( talk) 15:03, 4 November 2013 (UTC)
Dear Ozob. As mentioned in the article "Kodaira dimension,"
Particularlly, in the case of higher dimensions, we have to define κ=−∞. In the literature it is sure that κ=-1 in the past, for example, in
and
Though both of them are admirable textbooks they deal only with algebraic surfaces. And first of all, who named κ "Kodaira dimension" is nobody but Shigeru Iitaka as in the title of THIS article.
The spirit of Kodaira dimension, that is enlarged from the Itallian school of Algebraic Geometry and the idea of genera in topology, gives nice spectacles to the classification of algebraic varieties using fiber structures and additive formula.
In 1995 Shafarevich introduced Kodaira dimension κ=−∞ in
Therefore I will rewrite the corresponding part in the article of "Kodaira dimension" without deleting two most textbooks as references. I think that κ=-1 WAS in the past.-- Enyokoyama ( talk) 02:26, 20 April 2014 (UTC)
This article is rated C-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
I'd like to write about the fundamenal theorems about the classification of algebraic varieties.-- Enyokoyama ( talk) 15:11, 16 June 2013 (UTC)
I add a chapter titled "Iitaka conjecture," which had been a big motivation for the classification theory of algebraic varieties. I'd like to improve this chapter for someone professional.-- Enyokoyama ( talk) 15:03, 4 November 2013 (UTC)
Dear Ozob. As mentioned in the article "Kodaira dimension,"
Particularlly, in the case of higher dimensions, we have to define κ=−∞. In the literature it is sure that κ=-1 in the past, for example, in
and
Though both of them are admirable textbooks they deal only with algebraic surfaces. And first of all, who named κ "Kodaira dimension" is nobody but Shigeru Iitaka as in the title of THIS article.
The spirit of Kodaira dimension, that is enlarged from the Itallian school of Algebraic Geometry and the idea of genera in topology, gives nice spectacles to the classification of algebraic varieties using fiber structures and additive formula.
In 1995 Shafarevich introduced Kodaira dimension κ=−∞ in
Therefore I will rewrite the corresponding part in the article of "Kodaira dimension" without deleting two most textbooks as references. I think that κ=-1 WAS in the past.-- Enyokoyama ( talk) 02:26, 20 April 2014 (UTC)