Litcanu, R. - Search Results - UAB Digital Repository of Documents

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Research literature, 3 records found

Research literature	3 records found

96 p, 757.8 KB

Singular Bott-Chern classes and the arithmetic Grothendieck-Riemann-Roch theorem for closed immersions / Burgos Gil, José Ignacio ; Litcanu, R. ; Centre de Recerca Matemàtica
We study the singular Bott-Chern classes introduced by Bismut, Gillet and Soulé. Singular Bott-Chern classes are the main ingredient to define direct images for closed immersions in arithmetic K-theory. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 926)

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17 p, 243.9 KB

Petits points et conjecture de Bogomolov / Litcanu, R. ; Centre de Recerca Matemàtica
This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang's proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. [...]
Centre de Recerca Matemàtica 2006 (Prepublicacions del Centre de Recerca Matemàtica ; 701)

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25 p, 272.9 KB

Valuations, intersections et fonctions de Belyi / Litcanu, R. ; Centre de Recerca Matemàtica
We present in this article several possibilities to approach the height of an algebraic curve defined over a number field : as an intersection number via the Arakelov theory, as a limit point of the heights of its algebraic points and, finally, using the minimal degree of Belyi functions.
Centre de Recerca Matemàtica 2006 (Prepublicacions del Centre de Recerca Matemàtica ; 700)

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