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pro vyhledávání: '"Villà Salvador"'
In this paper we obtain the extended genus field of a finite abelian extension of a global rational function field. We first study the case of a cyclic extension of prime power degree. Next, we use that the extended genus fields of a composite of two
Externí odkaz:
http://arxiv.org/abs/2404.17566
We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a rational function field obtained by R. Clement in 1992 to general Kummer extensions. We observe that the same approach of Clement works in gener
Externí odkaz:
http://arxiv.org/abs/2403.01021
In the present work we give the construction of the genus field and the extended genus field of an elementary abelian $l$-extension of a field of rational functions, where $l$ is a prime number. In the Kummer case, if $K$ is contained in a cyclotomic
Externí odkaz:
http://arxiv.org/abs/2208.08393
In this paper we first obtain the genus field of a finite abelian non-Kummer $l$--extension of a global rational function field. Then, using that the genus field of a composite of two abelian extensions of a global rational function field with relati
Externí odkaz:
http://arxiv.org/abs/2204.01874
Autor:
Tombal, Bertrand F., Gomez-Veiga, Francisco, Gomez-Ferrer, Alvaro, López-Campos, Fernando, Ost, Piet, Roumeguere, Thierry Andre, Herrera-Imbroda, Bernardo, D'Hondt, Lionel A., Quivrin, Magali, Gontero, Paolo, Villà, Salvador, Khaled, Hussein, Fournier, Beatrice, Musoro, Jammbe, Krzystyniak, Joanna, Pretzenbacher, Yassin, Loriot, Yohann
Publikováno v:
In European Urology Oncology October 2024 7(5):1051-1060
We obtain the extended genus field of an abelian extension of a rational function field. We follow the definition of Angl\`es and Jaulent, which uses class field theory. First we show that the natural definition of extended genus field of a cyclotomi
Externí odkaz:
http://arxiv.org/abs/2108.08337
In this paper we obtain the genus field of a general Kummer extension of a global rational function field. We study first the case of a general Kummer extension of degree a power of a prime. Then we prove that the genus field of a composite of two ab
Externí odkaz:
http://arxiv.org/abs/2105.06627
We give a construction of the genus field for Kummer $\ell^n$-cyclic extensions of rational congruence function fields, where $\ell$ is a prime number. First, we compute the genus field of a field contained in a cyclotomic function field, and then fo
Externí odkaz:
http://arxiv.org/abs/2006.11870
Autor:
Coskun Mehtap, Straube William, Hurkmans Coen W, Melidis Christos, de Haan Patricia F, Villà Salvador, Collette Sandra, Weber Damien C
Publikováno v:
Radiation Oncology, Vol 8, Iss 1, p 23 (2013)
Abstract Background The ongoing EORTC 22042–26042 trial evaluates the efficacy of high-dose radiotherapy (RT) in atypical/malignant meningioma. The results of the Dummy Run (DR) and prospective Individual Case Review (ICR) were analyzed in this Qua
Externí odkaz:
https://doaj.org/article/6627da2d23d9407aa8616aa245bb1eda
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