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pro vyhledávání: '"Răzvan Liţcanu"'
Publikováno v:
Journal of the European Mathematical Society. 16:463-535
In this paper we extend the holomorphic analytic torsion classes of Bismut and Kohler to arbitrary projective morphisms between smooth algebraic complex varieties. To this end, we propose an axiomatic definition and give a classification of the theor
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https://doi.org/10.4171/jems/438
https://doi.org/10.4171/jems/438
Autor:
Răzvan Liţcanu
Publikováno v:
Expositiones Mathematicae. 25(2):95-116
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
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Autor:
Răzvan Liţcanu
Publikováno v:
Journal of Differential Equations. 207(1):93-116
We are describing Lame differential operators with a full set of algebraic solutions. For each finite group G, we are describing the possible values of the degree parameter n such that the Lame operator L n has the projective monodromy group G. The m
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Autor:
Răzvan Liţcanu
Publikováno v:
Monatshefte für Mathematik. 142:327-340
Properties of the degree of Belyi functions. A famous theorem of Belyi characterizes the curves defined over a number field by the existence of an element of its function field with certain ramification properties. In this article we are interested i
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https://doi.org/10.1007/s00605-003-0142-2
https://doi.org/10.1007/s00605-003-0142-2
The classical arithmetic Grothendieck-Riemann-Roch theorem can be applied only to projective morphisms that are smooth over the complex numbers. In this paper we generalize the arithmetic Grothendieck-Riemann-Roch theorem to the case of general proje
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http://arxiv.org/abs/1211.1783
http://arxiv.org/abs/1211.1783
Publikováno v:
AIP Conference Proceedings.
In this presentation we give a brief account of an axiomatic approach to generalized analytic torsion classes for arbitrary projective morphisms of smooth complex varieties and of the classification of the theories that can be constructed using our a
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https://doi.org/10.1063/1.3546075
https://doi.org/10.1063/1.3546075
Autor:
Răzvan Liţcanu
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
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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 va
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https://hdl.handle.net/2072/3709
https://hdl.handle.net/2072/3709