Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Géométrie d'Arakelov"'
Autor:
Wang, Xiaozong
Publikováno v:
Algebraic Geometry [math.AG]. Université Paris-Saclay, 2020. English. ⟨NNT : 2020UPASM015⟩
The purpose of this thesis is to study the geometric properties of the arithmetic varieties. More precisely, we are interested in the existence of regular projective subschemes of a regular projective arithmetic variety. First we extend a result of P
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2592::f2e56eb8ab10fc8a00327bb71c76391f
https://tel.archives-ouvertes.fr/tel-03010687/document
https://tel.archives-ouvertes.fr/tel-03010687/document
Autor:
Wang, Xiaozong
Publikováno v:
Algebraic Geometry [math.AG]. Université Paris-Saclay, 2020. English. ⟨NNT : 2020UPASM015⟩
The purpose of this thesis is to study the geometric properties of the arithmetic varieties. More precisely, we are interested in the existence of regular projective subschemes of a regular projective arithmetic variety. First we extend a result of P
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______212::f2e56eb8ab10fc8a00327bb71c76391f
https://tel.archives-ouvertes.fr/tel-03010687/document
https://tel.archives-ouvertes.fr/tel-03010687/document
Autor:
François Ballaÿ
Publikováno v:
Kyoto Journal of Mathematics
Kyoto Journal of Mathematics, Duke University Press, 2020, 60 (3), pp.1097-1129. ⟨10.1215/21562261-2019-0073⟩
Kyoto J. Math. 60, no. 3 (2020), 1097-1129
Kyoto Journal of Mathematics, Duke University Press, 2020, 60 (3), pp.1097-1129. ⟨10.1215/21562261-2019-0073⟩
Kyoto J. Math. 60, no. 3 (2020), 1097-1129
International audience; We prove an effective analogue of Liouville’s theorem for closed points on an arbitrary projective variety defined over a number field. Our result can be interpreted as an effective version of a recent theorem proved by McKi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06a1fc79b6663c4a6a37af1aaccb9e89
https://doi.org/10.1215/21562261-2019-0073
https://doi.org/10.1215/21562261-2019-0073
Autor:
Gualdi, Roberto
Nous étudions dans cette thése la relation entre certaines hauteurs d'Arakelov de cycles de variétés toriques et les caractéristiques arithmétiques des polynômes de Laurent qui les définissent. Pour cela, nous associons _a un polynôme de Lau
Externí odkaz:
http://www.theses.fr/2018BORD0139/document
Autor:
Gualdi, Roberto
Publikováno v:
General Mathematics [math.GM]. Université de Bordeaux; Universitat internacional de Catalunya, 2018. English. ⟨NNT : 2018BORD0139⟩
We investigate in this work the relation between suitable Arakelov heights of a cycle in a toric variety and the arithmetic features of its defining Laurent polynomials. To this purpose, we associate to a Laurent polynomial certain concave functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2592::b894e8513294634fe8cd30b88736141b
https://tel.archives-ouvertes.fr/tel-01931089/document
https://tel.archives-ouvertes.fr/tel-01931089/document
Autor:
Bruno Winckler
Publikováno v:
Acta Arithmetica
Acta Arithmetica, Instytut Matematyczny PAN, 2018, 182 (4), pp.347-396. ⟨10.4064/aa170404-5-11⟩
Acta Arithmetica, Instytut Matematyczny PAN, 2018, 182 (4), pp.347-396. ⟨10.4064/aa170404-5-11⟩
We consider the problem of lower bounds for the canonical height on elliptic curves, aiming for the conjecture of Lehmer. Our main result is an explicit version of a theorem of Laurent (who proved this conjecture for elliptic curves with CM up to a e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f5f66e516a6ce1af49e634a4ceb5e08
https://hal.archives-ouvertes.fr/hal-02506727
https://hal.archives-ouvertes.fr/hal-02506727
Autor:
Ballaÿ, François
Dans cette thèse, nous appliquons des outils issus de la théorie d’Arakelov à l’étude de problèmes de géométrie diophantienne. Une notion centrale dans notre étude est la théorie des pentes des fibrés vectoriels hermitiens, introduite p
Externí odkaz:
http://www.theses.fr/2017CLFAC034/document
Autor:
Huayi Chen, Jean-Benoît Bost
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 99(4):436-488
We study the semistability of the tensor product of hermitian vector bundles by using the $\varepsilon$-tensor product and the geometric (semi)stability of vector subspaces in the tensor product of two vector spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53b40a70f54e49f8e6a73a4b42c2d49d
Autor:
Dujardin, Romain, Magnien, Jérémy
Some themes inspired from number theory have been playing an important role in holomorphic and algebraic dynamics (iteration of rational mappings) in the past ten years. In these lectures I would like to present a few recent results in this direction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::0ecace6b80c66100c0fd1a54ff0d8a75
https://hal.archives-ouvertes.fr/medihal-01716162
https://hal.archives-ouvertes.fr/medihal-01716162
F. Andreatta - The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part3)
Autor:
Andreatta, Fabrizio, Magnien, Jérémy
We will first introduce Shimura varieties of orthogonal type, their Heegner divisors and some special points, called CM (Complex Multiplication) points. Secondly we will review conjectures of Bruinier-Yang and Buinier-Kudla-Yang which provide explici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::e636fe0ef5df2bafd25d29933a41971d
https://hal.archives-ouvertes.fr/medihal-01669080
https://hal.archives-ouvertes.fr/medihal-01669080