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Exploring the objective and subjective dimensions of urban life quality on Regie Boulevard and surrounding streets
SILVIA GABRIELA GHIOCA
Cinq Continents , 2011,
Abstract: L'étude des dimensions objectives et subjectives de la qualité de vie urbaine sur le boulevard Régie et les rues avoisinantes. Cette étude analyse la qualité des logements sur Regie avenue et les rues environnantes. L'analyse se concentre principalement sur le campus. Situé dans le district 6, le campus est l'un des plus anciens de Bucarest, mais aussi l'un des plus populaires en raison de facilités offertes. Pour une meilleure perception de la qualité du logement, il y a été appliqué un questionnaire qui a révélé des aspects positifs et négatifs de cet environnement, dans l'opinion d'habitants. Ainsi, le campus d’étudiants Regie est un repère pour Bucarest, en raison de sa bonne accessibilité et les caractéristiques de l'intérieur qui attire des étudiants.
The Mordell-Lang Theorem for Drinfeld modules
Dragos Ghioca
Mathematics , 2004,
Abstract: We study the quasi-endomorphism ring of infinitely definable subgroups in separably closed fields. Based on the results we obtain, we are able to prove a Mordell-Lang theorem for Drinfeld modules of finite characteristic. Using specialization arguments we are able to prove also a Mordell-Lang theorem for Drinfeld modules of generic characteristic.
Elliptic curves over the perfect closure of a function field
Dragos Ghioca
Mathematics , 2005,
Abstract: We prove that the group of rational points of a non-isotrivial elliptic curve defined over the perfect closure of a function field in one variable over a finite field is finiteley generated.
Equidistribution for torsion points of a Drinfeld module
Dragos Ghioca
Mathematics , 2005,
Abstract: We prove an equidistribution result for torsion points of Drinfeld modules of generic characteristic. We also show that similar equidistribution statements provide proofs for the Manin-Mumford and the Bogomolov conjectures for Drinfeld modules.
The Mordell-Lang Theorem for finitely generated subgroups of a semiabelian variety defined over a finite field
Dragos Ghioca
Mathematics , 2006,
Abstract: We determine the structure of the intersection of a finitely generated subgroup of a semiabelian variety $G$ defined over a finite field with a closed subvariety $X\subset G$.
The Tate-Voloch Conjecture for Drinfeld modules
Dragos Ghioca
Mathematics , 2005,
Abstract: We study the $v$-adic distance from the torsion of a Drinfeld module to an affine variety.
Towards the full Mordell-Lang conjecture for Drinfeld modules
Dragos Ghioca
Mathematics , 2006,
Abstract: Let $\phi$ be a Drinfeld module of generic characteristic, and let $X$ be a sufficiently generic affine subvariety of $\mathbb{G}_a^g$. We show that the intersection of $X$ with a finite rank $\phi$-submodule of $\mathbb{G}_a^g$ is finite.
Integral points for Drinfeld modules
Dragos Ghioca
Mathematics , 2013,
Abstract: We prove that in the backward orbit of a non-preperiodic point under the action of a Drinfeld module of generic characteristic there exist at most finitely many points S-integral with respect to another nonpreperiodic point. This provides the answer (in positive characteristic) to a question raised by Sookdeo. We also prove that for each nontorsion point z, there exist at most finitely many torsion points which are S-integral with respect to z. This proves a question raised by Tucker and the author, and it gives the analogue of Ih's conjecture for Drinfeld modules.
A Bogomolov type statement for function fields
Dragos Ghioca
Mathematics , 2013,
Abstract: Let k be a an algebraically closed field of arbitrary characteristic, and we let h be the usual Weil height for the n-dimensional affine space corresponding to the function field k(t) (extended to its algebraic closure). We prove that for any affine variety V defined over the algebraic closure of k(t), there exists a positive real number c such that if P is an algebraic point of V and h(P)< c, then P has its coordinates in k.
Points of small height on varieties defined over a function field
Dragos Ghioca
Mathematics , 2005,
Abstract: We obtain a Bogomolov type of result for the additive group scheme in characteristic $p$. Our result is equivalent with a Bogomolov theorem for Drinfeld modules defined over a finite field.
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