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On the cycle class map for zero-cycles over local fields

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so with the generation reasonable origins the union 2 local services which we longer and the start of each of the services I think we have have want there is no and after the announcement the government licenses In so you can see the world were the market of will I need to do something yes yes so actually there yeah With the environment I was result referring to the other so it's not a self-correcting in general was admitted his services but in general it's almost as if it were a variety which is in is that is said that the more you have to move out spite on the same day here in the form of a virus but I think in this version of the free services you want to win trivial so better again produced little fiber so the problem needs to get his examples literary such doubts but generally I received in Israel as the work of the view that the numbers during the 2nd year of the city where the it's the most number of you and your family the inflationary service is always but he at the moment we following a 3rd In the honorable but there are the areas of overlap only so we we have some versions of the but in the end of the No hands to say and then head that I wanted to in the same house which is how you know it's 6 something about you know that this the sole about this some passes to the delivery of loosely there's there's this year experience "quotation mark you very well during years that security was saying that so there is little interest organize only thinking of some getting used to the surface is the final result of the year and to this office by the so you have consideration where the services are attending and so on the study curriculum some of militants and still getting you go the bodies of the 4 major and minor exceptions from but if you will until that's the applicable to both the quality and commuter rising because the locations of the militant provisions because of statements made the industry some questions that kind think of something that you mentioned that there is a view that there was a time duration here guests who could give specific examples of the year is not a good thing because work with you it's all about it has authorized during her it's really use just approved a general sentiment the result is a member of the major multiple physical registration of Persons and and and reducing history work with the provision that the restaurant and certainly the mysteries reported getting enough money questions that would be the time to the state would like to remind you that this is the last of the major is still has the question of the year this place is used so you don't want to question their own pockets of user reviews the more local model the so it doesn't intend annual security means you won't have to prove that they should give advice during 3 years so what it is that the party think that he was the resurgence on that is why we do very well the National involvement what was on the loose Of all the original we support the and so the little during the hearing allows you to itself the devoted to this evening that in the year of New York but money-losing because you're not because this is where you read this as we move through food is not your ignore the rules this and will take assume Europe said there were no universal the yeah right from the beginning of operations due to where economies therefore we can use alterations the president so if many with them to the top the flesh
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Metadaten

Formale Metadaten

Titel On the cycle class map for zero-cycles over local fields
Serientitel Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
Anzahl der Teile 3
Autor Wittenberg, Olivier
Lizenz CC-Namensnennung 3.0 Unported:
Sie dürfen das Werk bzw. den Inhalt zu jedem legalen Zweck nutzen, verändern und in unveränderter oder veränderter Form vervielfältigen, verbreiten und öffentlich zugänglich machen, sofern Sie den Namen des Autors/Rechteinhabers in der von ihm festgelegten Weise nennen.
DOI 10.5446/17049
Herausgeber Institut des Hautes Études Scientifiques (IHÉS)
Erscheinungsjahr 2014
Sprache Englisch

Inhaltliche Metadaten

Fachgebiet Mathematik
Abstract The Chow group of zero-cycles of a smooth and projective variety defined over a field k is an invariant of an arithmetic and geometric nature which is well understood only when k is a finite field (by higher-dimensional class field theory). In this talk, we will discuss the case of local and strictly local fields. We prove in particular the injectivity of the cycle class map to integral l-adic cohomology for a large class of surfaces with positive geometric genus over p-adic fields. The same statement holds for semistable K3 surfaces over C((t)), but does not hold in general for surfaces over C((t)) or over the maximal unramified extension of a p-adic field. This is a joint work with Hélène Esnault.

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