Reduction criterion - Revision history

en>Bibcode Bot: Adding 0 arxiv eprint(s), 2 bibcode(s) and 0 doi(s). Did it miss something? Report bugs, errors, and suggestions at User talk:Bibcode Bot

2014-07-10T16:15:30Z

Adding 0 arxiv eprint(s), 2 bibcode(s) and 0 doi(s). Did it miss something? Report bugs, errors, and suggestions at User talk:Bibcode Bot

← Older revision		Revision as of 18:15, 10 July 2014
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	~~Friends call him Royal~~. ~~The favorite pastime for him and his children~~ is ~~to generate and now~~ he ~~is trying~~ to ~~make money with it~~. ~~My home~~ is ~~now in Kansas~~. ~~After becoming out of my job~~ for ~~many years I grew to become~~ a ~~production and distribution officer~~ but I ~~strategy~~ on ~~altering~~ it.<br><br>~~Check out~~ my ~~weblog :: auto warranty (~~[http://~~holder11~~.~~Dothome~~.~~Co.kr~~/xe/~~center~~/~~733564 click through the up coming website~~])		Hello and welcome. My name is Ling. Some time ago he selected to live in Idaho. Playing croquet is some thing I will by no means give up. Interviewing is what I do for a living but I plan on changing it.<br><br>Also visit my web page ... [http://www.pietreta.com/UserProfile/tabid/42/userId/8740/language/en-US/Default.aspx extended auto warranty]

en>WereSpielChequers: not a blow

2014-02-28T21:01:37Z

not a blow

← Older revision		Revision as of 23:01, 28 February 2014
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	In [[mathematics]], a '''norm variety''' is a particular type of [[algebraic variety]] ''V'' over a [[field (mathematics)\|field]] ''F'', introduced for the purposes of [[algebraic K-theory]] by [[Voevodsky]]. The ~~idea~~ is to relate [[Milnor K-theory]] of ''F'' to geometric objects ''V'', having [[function field of an algebraic variety\|function field]]s ''F''(''V'') that 'split' given 'symbols' (elements of Milnor K-groups).<ref name=Suslin2006>{{cite journal\|last=Suslin\|first=Andrei\|coauthors=Seva Joukhovitski\|title=Norm varieties\|journal=Journal of Pure and Applied Algebra\|date=July 2006\|volume=2006\|issue=1-2\|pages=245-276\|doi=10.1016/j.jpaa.2005.12.012\|url=http://www.sciencedirect.com/science/article/pii/S0022404905003166\|accessdate=17 November 2013}}</ref>		Friends call him Royal. The favorite pastime for him and his children is to generate and now he is trying to make money with it. My home is now in Kansas. After becoming out of my job for many years I grew to become a production and distribution officer but I strategy on altering it.<br><br>Check out my weblog :: auto warranty ([http://holder11.Dothome.Co.kr/xe/center/733564 click through the up coming website])

	~~The formulation~~ is ~~that ''p'' is a given prime number, different from the [[characteristic (algebra)\|characteristic]] of ''F'', and a symbol is the class mod ''p'' of an element~~

	~~:<math>\{a_1, \dots, a_n\}\ </math>~~

	~~of the ''n''-th Milnor K-group~~. ~~A [[field extension]]~~ is ~~said to ''split'' the symbol, if its image~~ in ~~the K-group~~ for ~~that field is 0.~~

	~~The conditions on~~ a ~~norm variety ''V'' are that ''V'' is [[Irreducible variety\|irreducible]]~~ and ~~a [[non-singular]] [[complete variety]]. Further~~ it ~~should have [[dimension of an algebraic variety\|dimension]] ''d'' equal to~~

	~~:<math>p^{n - 1} - 1~~.\ <~~/math~~>

	~~The key condition is in terms of the ''d''-th [[Newton polynomial]] ''s''~~<~~sub~~>~~''d''</sub>, evaluated on the (algebraic) total [[Chern class]] of the [[tangent bundle]] of ''V''. This number~~

	:~~<math>s_d(V)\ </math>~~

	~~should not be divisible by ''p''<sup>2</sup>, it being known it is divisible by ''p''.~~

	~~==Examples==~~
	~~These include (''n'' = 2) cases of the [[Severi–Brauer variety]] and~~ (~~''p'' = 2) [[Pfister form]]s. There is an existence theorem in the general case (paper of [[Markus Rost]] cited).~~

	~~==References==~~
	~~{{reflist}}~~

	~~==External links==~~
	* [http://~~www~~.~~math~~.~~uni-bielefeld~~.de/~~~rost~~/~~data~~/~~nv-ac.pdf Paper by Rost]~~

	~~[[Category:Algebraic varieties]]~~
	~~[[Category:K-theory]~~]

en>Egsan Bacon: Repairing links to disambiguation pages - You can help!

2013-10-31T16:32:52Z

Repairing links to disambiguation pages - You can help!

← Older revision		Revision as of 18:32, 31 October 2013
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	~~Nestor~~ is the title ~~my parents gave me but I don~~'~~t like when individuals use my complete title~~. I'~~ve usually cherished residing~~ in ~~Idaho~~. ~~Playing croquet~~ is ~~some thing I will never give up~~. ~~Bookkeeping has been his day job for a whilst~~.<br><br>~~Also visit my weblog~~: ~~extended auto warranty~~ ([http://~~help~~.~~ksu~~.~~edu~~.sa/~~node~~/~~63594 look at more info~~])		In [[mathematics]], a '''norm variety''' is a particular type of [[algebraic variety]] ''V'' over a [[field (mathematics)\|field]] ''F'', introduced for the purposes of [[algebraic K-theory]] by [[Voevodsky]]. The idea is to relate [[Milnor K-theory]] of ''F'' to geometric objects ''V'', having [[function field of an algebraic variety\|function field]]s ''F''(''V'') that 'split' given 'symbols' (elements of Milnor K-groups).<ref name=Suslin2006>{{cite journal\|last=Suslin\|first=Andrei\|coauthors=Seva Joukhovitski\|title=Norm varieties\|journal=Journal of Pure and Applied Algebra\|date=July 2006\|volume=2006\|issue=1-2\|pages=245-276\|doi=10.1016/j.jpaa.2005.12.012\|url=http://www.sciencedirect.com/science/article/pii/S0022404905003166\|accessdate=17 November 2013}}</ref>

			The formulation is that ''p'' is a given prime number, different from the [[characteristic (algebra)\|characteristic]] of ''F'', and a symbol is the class mod ''p'' of an element

			:<math>\{a_1, \dots, a_n\}\ </math>

			of the ''n''-th Milnor K-group. A [[field extension]] is said to ''split'' the symbol, if its image in the K-group for that field is 0.

			The conditions on a norm variety ''V'' are that ''V'' is [[Irreducible variety\|irreducible]] and a [[non-singular]] [[complete variety]]. Further it should have [[dimension of an algebraic variety\|dimension]] ''d'' equal to

			:<math>p^{n - 1} - 1.\ </math>

			The key condition is in terms of the ''d''-th [[Newton polynomial]] ''s''<sub>''d''</sub>, evaluated on the (algebraic) total [[Chern class]] of the [[tangent bundle]] of ''V''. This number

			:<math>s_d(V)\ </math>

			should not be divisible by ''p''<sup>2</sup>, it being known it is divisible by ''p''.

			==Examples==
			These include (''n'' = 2) cases of the [[Severi–Brauer variety]] and (''p'' = 2) [[Pfister form]]s. There is an existence theorem in the general case (paper of [[Markus Rost]] cited).

			==References==
			{{reflist}}

			==External links==
			* [http://www.math.uni-bielefeld.de/~rost/data/nv-ac.pdf Paper by Rost]

			[[Category:Algebraic varieties]]
			[[Category:K-theory]]

en>Zero Thrust: Corrected typos.

2012-04-10T13:59:56Z

Corrected typos.

New page

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