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[pt] O Grupo de Cremona é o grupo das Transformações birracionais do plano projetivo e tem um papel muito importante em Geometria Birracional. Pelo Teorema de Nöether-Castelnuovo (final do século XIX), o Grupo de Cremona é gerado pelos automorfismos do plano projetivo e pela Transformação Quadrática Padrão. Apesar de compreendermos bem o grupo de automorfismos do Plano Projetivo e a Transformação Quadrática Padrão, o estudo do Grupo de Cremona é bastante desafiador, e sua estrutura ainda não é totalmente conhecida. Somente em 2013, Cantat e Lamy provaram que o Grupo de Cremona não é simples no caso de um corpo algebricamente fechado. Em 2016, Anne Lonjou provou o mesmo para qualquer corpo. Ambas as provas se baseiam em uma ação por isometrias do Grupo de Cremona em um espaço hiperbólico de dimensão infinita. Nosso objetivo será entender essa ação e como ela pode ser usada no estudo do Grupo de Cremona. / [en] The Cremona Group is the group of Birrational Transformations of the projective plane and has a very important role in Birrational Geometry. By the Nöether-Castelnuovo Theorem (late 19th century), the Cremona Group is generated by the automorphisms of the projective plane and by the Standard Quadratic Transformation. Although we understand well the group of automorphisms of the projective plane and the Standard Quadratic Transformation, the study of the Cremona Group is quite challenging, and its structure is not yet fully known. Only in 2013, Cantat and Lamy proved that the Cremona Group is not simple in the case of an algebraically closed field. In 2016, Anne Lonjou proved the same for any field. Both proofs are based on an action by isometries of the Cremona Group in a hyperbolic space of infinite dimension. Our goal will be to understand this action and how it can be used in the study of the Cremona Group.

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This dissertation informs about the life and work cremonese painter, architect and decorator Giulio Campi (c. 1502-1572), who became in 1541 the author of the decorations for the triumphal entry of Emperor Charles V in Cremona. Together with his colleague Camille Boccaccino suggested a number of triumphal arches, whose appearance has been preserved to this day on preparatory drawings. A number of preparatory drawings, which are part of the recently discovered album of the Clara - Aldringen in Teplice, keep the National Gallery in Prague. This thesis concerns the problems of Campi's proposals of the arches - addresses visual effects that might have had an influence on the Campi's drawing expression, features other Campi's surviving drawings from the collection of the European institutions and summarizes a form of the Charles V Trionfo in 1541 and Philip II. Trionfo in 1549 in Cremona.