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pro vyhledávání: '"Sombra, Martin"'
Autor:
Philippon, Patrice, Sombra, Martin
We study the obstruction degrees of translates of sub-tori of multiplicative tori and we show how they are connected to lower bounds for the essential minimum of these varieties. In particular, we combine our computations with results of A. Schinzel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c8ad44a015a8e082ea0f42a8b715fce
Autor:
Philippon, Patrice, Sombra, Martin
Publikováno v:
Comptes rendus de l'Académie des sciences. Série I, Mathématique
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2005, 340, pp.507-512
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2005, 340, pp.507-512
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2005, 340, pp.507-512
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2005, 340, pp.507-512
We present some results on projective toric varieties which are relevant in Diophantine geometry. We interpret and study several invariants attached to these varieties in geometrical and combinatorial terms. We also give a B\'ezout theorem for the Ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::556f86ddb36cb33ab93080b00b7c6593
http://hdl.handle.net/20.500.12278/116989
http://hdl.handle.net/20.500.12278/116989
Autor:
Philippon, Patrice, Sombra, Martin
We present an explicit expression for the normalized height of a projective toric variety. This expression decomposes as a sum of local contributions, each term being the integral of a certain function, concave and piecewise linear-affine. More gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de1206ae314843cc54ee8c8e9af97582
https://hal.archives-ouvertes.fr/hal-00131676
https://hal.archives-ouvertes.fr/hal-00131676
Autor:
Sombra, Martin
Publikováno v:
Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2005, 586, pp.207-233
Journal für die reine und angewandte Mathematik, 2005, 586, pp.207-233
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2005, 586, pp.207-233
Journal für die reine und angewandte Mathematik, 2005, 586, pp.207-233
We compute the successive minima of the projective toric variety $X_\cA$ associated to a finite set $ \cA \subset \Z^n$. As a consequence of this computation and of the results of S.-W. Zhang on the distribution of small points, we derive estimates f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa227489daf48dca893122c6a3f9d8d1
http://arxiv.org/abs/math/0209195
http://arxiv.org/abs/math/0209195
Autor:
Di Scala, Antonio J., Sombra, Martin
We introduce a notion of palindromicity of a natural number which is independent of the base. We study the existence and density of palindromic and multiple palindromic numbers, and we raise several related questions.
6 pages, Latex2e
6 pages, Latex2e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86c07f8db769cd4bb7ee377421628d5b
https://hal.archives-ouvertes.fr/hal-00112264
https://hal.archives-ouvertes.fr/hal-00112264