Function fields - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

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Resultats globals: 6 registres trobats en 0.04 segons.
Articles, 4 registres trobats Llibres i col·leccions, 1 registres trobats Documents de recerca, 1 registres trobats

Articles	4 registres trobats

40 p, 548.1 KB

Stickelberger series and Main Conjecture for function fields / Bandini, Andrea (Universit'a degli Studi di Pisa. Dipartimento di Matematica) ; Coscelli, Edoardo
Let F be a global function field of characteristic p with ring of integers A and let Φ be a Hayes module on the Hilbert class field HA of F. We prove an Iwasawa Main Conjecture for the Z∞p extension F/F generated by the p-power torsion of Φ (p a prime of A). [...]
2021 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6522103
Publicacions matemàtiques, Vol. 65 Núm. 2 (2021) , p. 459-498 (Articles)

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17 p, 501.3 KB

Fitting ideals of class groups in Carlitz-Hayes cyclotomic extensions / Bandini, Andrea (Università di Pisa. Dipartimento di Matematica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Coscelli, Edoardo (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We generalize some results of Greither and Popescu to a geometric Galois cover X → Y which appears naturally for example in extensions generated by pn-torsion points of a rank 1 normalized Drinfeld module (i. [...]
2019 - DOI (Digital Object Identifier)

10.1016/j.jnt.2018.12.010
Journal of Number Theory, (January 2019)

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36 p, 438.1 KB

Iwasawa main conjecture for the Carlitz cyclotomic extension and applications / Anglès, Bruno (Université de Caen. Laboratoire de Mathématiques Nicolas Oresme (France)) ; Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (Xi'an Jiaotong-Liverpool University. Department of Mathematical Sciences (China))
We prove an Iwasawa Main Conjecture for the class group of the p-cyclotomic extension F of the function field Fq(θ) (p is a prime of Fq[θ]), showing that its Fitting ideal is generated by a Stickelberger element. [...]
2020 - DOI (Digital Object Identifier)

10.1007/s00208-019-01875-8
Mathematische Annalen, Vol. 376, Issue 1-2 (February 2020) , p. 475-523

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25 p, 527.3 KB

Non-integrability of measure preserving maps via Lie symmetries / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We consider the problem of characterizing, for certain natural number m, the local C^m-non-integrability near elliptic fixed points of smooth planar measure preserving maps. Our criterion relates this non-integrability with the existence of some Lie Symmetries associated to the maps, together with the study of the finiteness of its periodic points. [...]
2015 - DOI (Digital Object Identifier)

10.1016/j.jde.2015.06.019
Journal of differential equations, Vol. 259 (2015) , p. 5115-5136

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Llibres i col·leccions	1 registres trobats

43 p, 718.2 KB

Aspects of Iwasawa theory over function fields / Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (National Taiwan University. Department of Mathematics (Taiwan))
We consider ZNp-extensions F of a global function field F and study various aspects of Iwasawa theory with emphasis on the two main themes already (and still) developed in the number fields case as well. [...]
Zurich, Switzerland : European Mathematical Society Publishing House, 2020 (EMS Series of Congress Reports) - DOI (Digital Object Identifier)

10.4171/198-1/7
t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects, 2020, p. 375-416

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Documents de recerca	1 registres trobats

159 p, 1.1 MB

Lattices over polynomial rings and applications to function fields / Bauch, Jens-Dietrich ; Nart, Enric, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Esta tesis trata acerca de retículos sobre anillos de polinomios y sus aplicaciones a cuerpos de funciones algebraicas. En la primera parte consideramos la noción de retículos (L,| |) sobre anillos de polinomios, donde L es un módulo finitamente generado sobre k[t], el anillo de polinomios sobre el cuerpo k con la indeterminada t, y | | es una función real de longitud sobre el producto tensorial de L y k(t) sobre k[t]. [...]
This thesis deals with lattices over polynomial rings and its applications to algebraic function fields. In the first part, we consider the notion of lattices (L,| |) over polynomial rings, where L is a finitely generated module over k[t], the polynomial ring over the field k in the indeterminate t, and | | is a real-valued length function on the tensor product of L and k(t) over k[t]. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2014

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