On a generalization of the rank one Rubin-Stark conjecture
نام عام مواد
[Thesis]
نام نخستين پديدآور
Vallières, Daniel
وضعیت نشر و پخش و غیره
نام ناشر، پخش کننده و غيره
UC San Diego
تاریخ نشرو بخش و غیره
2011
یادداشتهای مربوط به پایان نامه ها
کسي که مدرک را اعطا کرده
UC San Diego
امتياز متن
2011
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This thesis is concerned with the extended abelian rank one Stark conjecture stated for the first time in Erickson's thesis. Here, we investigate it in more depth then has been done so far. We formulate a stronger question which seems easier to investigate both theoretically and computationally. This question includes a generalization of the Brumer-Stark conjecture on annihilation of class groups. We link it with a conjecture of Gross and in the process find some new integrality properties of the Stickelberger element. We provide some numerical examples, when the base field is the rational number field, for which the stronger question, and thus the extended abelian rank one Stark conjecture, have an affirmative answer
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )