6,867 research outputs found
Perspectives on Four Decades of Algebraic Geometry. In Memory of Alberto Collino
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
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
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
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
Zbl 1259.14006 Voisin, Claire Abel-Jacobi map, integral Hodge classes and decomposition of the diagonal. (English) J. Algebr. Geom. 22, No. 1, 141-174 (2013). MSC2000: *14C30 14C25 14F25, Reviewer: Alberto Collino (Torino)
Orizzonti mantovani. Spunti e dinamiche paesaggistiche ne L'Illustrissimo di Alberto Cantoni
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
Zbl pre06145472 Xu, Ze A remark on the Abel-Jacobi morphism for the cubic threefold. (French. English summary) C. R., Math., Acad. Sci. Paris 351, No. 1-2, 63-67 (2013). MSC2000: *14C99 14C25 14C30, Reviewer: Alberto Collino (Torino)
Zbl 1262.14026 Bleier, Thomas Excess Porteous, coherent Porteous, and the hyperelliptic locus in . (English) Mich. Math. J. 61, No. 2, 359-383 (2012). MSC2000: *14H10 14C17 14C25, Reviewer: Alberto Collino (Torino)
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