6,867 research outputs found

    Perspectives on Four Decades of Algebraic Geometry. In Memory of Alberto Collino

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    The origins of this book are rooted in the common aim of a group of people, working in the same research field, namely Algebraic Geometry, to commemorate a distinguished colleague, passed away in September 2020. This book is dedicated to the memory of Alberto Collino and to his exceptional spirit and talent in geometry, in mathematics, and in the life

    Perspectives on Four Decades of Algebraic Geometry, Volume 1

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    The origins of this book are rooted in the common aim of a group of people, working in the same research field, namely Algebraic Geometry, to commemorate a distinguished colleague, passed away in September 2020. This book is dedicated to the memory of Alberto Collino and to his exceptional spirit and talent in geometry, in mathematics, and in the lif

    The Fano normal function

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    AbstractThe Fano surface F of lines in the cubic threefold V is naturally embedded in the intermediate Jacobian J(V), we call “Fano cycle” the difference F−F−, this is homologous to 0 in J(V). We study the normal function on the moduli space which computes the Abel–Jacobi image of the Fano cycle. By means of the related infinitesimal invariant we can prove that the primitive part of the normal function is not of torsion. As a consequence we get that, for a general V, F−F− is not algebraically equivalent to zero in J(V) (proved also by van der Geer and Kouvidakis (2010) [15] with different methods) and, moreover, that there is no divisor in JV containing both F and F− and such that these surfaces are homologically equivalent in the divisor.Our study of the infinitesimal variation of Hodge structure for V produces intrinsically a threefold Ξ(V) in the Grassmannian of lines G in P4. We show that the infinitesimal invariant at V attached to the normal function gives a section of a natural bundle on Ξ(V) and more specifically that this section vanishes exactly on Ξ∩F, which turns out to be the curve in F parameterizing the “double lines” in the threefold. We prove that this curve reconstructs V and hence we get a Torelli-like result: the infinitesimal invariant for the Fano cycle determines V

    [Poesia] Três poemas de Alberto Secama

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    Three poems by Alberto Secama. About the author: Alberto Secama is an Angolan poet who has poems published on many websites and on facebook:https://www.facebook.com/Xungurra/abouthttp://www.pordentrodaafrica.com/cultura/africa-em-verso-rio-kwanza-por-alberto-secamahttp://www.pordentrodaafrica.com/cultura/africa-em-verso-zong-por-alberto-secamahttp://www.pordentrodaafrica.com/cultura/coluna-africa-em-verso-o-sol-la-fora-por-alberto-secamaTres poemas de Alberto Secama. Sobre el autor: Alberto Secama es un poeta angoleño que tiene poemas publicados en varios sitios y en el facebook:https://www.facebook.com/Xungurra/abouthttp://www.pordentrodaafrica.com/cultura/africa-em-verso-rio-kwanza-por-alberto-secamahttp://www.pordentrodaafrica.com/cultura/africa-em-verso-zong-por-alberto-secamahttp://www.pordentrodaafrica.com/cultura/coluna-africa-em-verso-o-sol-la-fora-por-alberto-secamaTrês poemas de Alberto Secama. Sobre o autor: Alberto Secama é um poeta angolano que possui poemas publicados em vários sites e no facebook:https://www.facebook.com/Xungurra/abouthttp://www.pordentrodaafrica.com/cultura/africa-em-verso-rio-kwanza-por-alberto-secamahttp://www.pordentrodaafrica.com/cultura/africa-em-verso-zong-por-alberto-secamahttp://www.pordentrodaafrica.com/cultura/coluna-africa-em-verso-o-sol-la-fora-por-alberto-secam

    Orizzonti mantovani. Spunti e dinamiche paesaggistiche ne L'Illustrissimo di Alberto Cantoni

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    In the literary production of Alberto Cantoni, short story writer and novelist between the nineteenth and twentieth centuries, the novel L'Illustrissimo is highly important both because it is the last publication of the author, from Pomponesco, a small town a few kilometers south of Mantua, both because it summarizes in a single text the different nuances and different directions that his writing has taken over the course of his literary career, also due to a writing and processing time that embraces the entire span of years of his career itself. In the foreground, in addition to the numerous and brilliant characters, one of the protagonists is the Mantuan landscape which, not a simple background, becomes a true literary parameter which in different and significant ways affects the purposes and mechanisms of the novel
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