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K3 surfaces over finite fields : insights from complex geometry

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K3 surfaces over finite fields : insights from complex geometry
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We will describe how insights from the geometry of complex analytic K3 surfaces can be applied to the proofs of Tate and Shioda's conjectures for K3 surfaces over finite fields.
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it now you play with moderate visits to seen as we did before but now you value the ball class according to GAO so for instance has always had a negative vibrations and showing and you marry it it also the and declaration that are part of Friday's G so you get a moving family of forces so get also the kind this is by no means trivial is really the work of initial calls controversial courage on the modest soups and Trabajadores something exists you get eggs 1921 but this morning arrangement all of its forms 12 x this is a wise Virginia they were greatest in Thanjavur anyone "quotation mark now it is owned by a local safaris of youth so as of now we we used to think 1st by with survivors of new OK 3 have potentially good introduction if you want to be Hollywood use the work of the government's model you can who your family acts over a once it so that it has good reduction to dating bobble covers everyone and you can get reductions gets at the bar 41 but the only thing is that this is what we get it all forms of our 53 but the all-time high myself maybe elements of GAM so that the realization that this means that the United Nations probable covered so soldiers and then and there and there none pleasant but agreed the going survival now called some here which place of acts he won 2 thanks "quotation mark so this family history alive after showing the problem office and so they selected this is exactly that it we suspect review had moving family accompanying family of teachers salaries which all itself which turned out to be all formal charter and I have to work well to a universal home yarmulkes and gin joint problem that is covered by its apology the products of the variety and and in a rational and 2 other just want to claim I and I overstayed my time already is that you can using this it's not that hard to prove that the polls based here is rational that's a rational chain connected off has lots of rational curves and during that the to services started with by projecting has lots of Russian so I don't think you can prove it is renew rational that way but you can still improve that its union rules Russian Ching the German you mentioned in the course of their the move was of the University University of research and we have to do this he has although right the resigned over few about this is not using their this the other by the nephew of the late and I knew yeah know document is this is the rank of the job will for introducing let's assume that the conjecture for right Europe at the bar then there's the rank of the animals illegal is is commandment to through the 2nd meeting of the service and the views of the war as a delicate that was here and here WE it is believed that the use of the the I know it's not known in general performance the reason for the "quotation mark by delineating communities has never caught on in the world funding for the vacant electrification people's understanding of the industry has died as the 1st of the vehicle and this is what I mean the stage to allocate 3 and adding to its 2 enemy in varieties the following is a agreement with the report also said that it what the possible numbers while I think you can get any of a number previous winners of the Convention on the Future of this usable insisted the starkness of you do what you want to follow the law it's a little late in the day after the summer home of the leader brave and in the case also I choose to be at the hiding that so so so that you thing that is mountainous should also explain how it is known in artistic 0 but I mean prove a game it is having that acknowledges complaining maybe even win the war but suddenly they religion of their so while there is a traitor to sort of use could study the middle-class thinking and that's not a very weak to to tackle this month results so in a way you you just know that again like a mistake it would not underlined on all consumers nearly all under I mean all these technologies will help so it's a very and in the uses good affect it doesn't use could have you so it's also true that is so that's so funny and you know that you have at least 2 realizes that the 1st rule of the game working out I cystic and eventually affected if you know that you had to the males illegal how we'll varieties too and that's going so let's not completely inconceivable that but there is some nice Street involving Russell forming a softening up to prove it is always the case so I don't know how In other businesses in New York previous through use of Hong Kong the course here this is the end of the no no no incidents or is suspect's although it appeared when in need just a little bit of genetic I mean you know who I think is suited to society's barriers reasonably or something of a variance and much easier to think In view of the Lower East Side the yes I think it is because once you know that lectures and you know the according to so so so you know yeah I think you could be on you have find their full rank coverage to and for the Nelson Resources was drunk as much as he did on the yes but I think once you have the highlight of I think you can get that you have to use probably resulted in people but the IFA New York Tokyo recently while a well-kept is that security had been good for the building so that they got it all works for a Jets histories or peoples to you really rise and fall as long as you want to use could be affected anyway so social so full young Americans through the human but did you also know that they don't want to for people to falls on the 2nd ball of the skin of things what would you like after 5 agencies his uh Hughes's pieties 5 I think but also the need the question the Sosa languages that have been used his instead of using the space and completing to get by with that of most continues its resigns to pull subjectivity of the kidnap and pulled out of chiffon and then to portfolio so that goes on in the comments agent should have some Leon operation as well and so means also my point that going Hutchison I'm the comics case you pull solitude cannot using alliance then you use decisive to pull the public option of hydrogen soulful and where the use of the the of of water and it's all about it inevitably events and so you know that anyway Gomez model is also on something in the Chinese something that is setting but but the user I blind they put the primer of different natures of ones as he used against potential anything reduction or stuff like that but you know you have potential with reductions in the land they like of rightfully so you only part of the world