Currently displaying 1 – 6 of 6

Showing per page

Order by Relevance | Title | Year of publication

Diophantine approximation on algebraic varieties

Michael Nakamaye — 1999

Journal de théorie des nombres de Bordeaux

We present an overview of recent advances in diophantine approximation. Beginning with Roth's theorem, we discuss the Mordell conjecture and then pass on to recent higher dimensional results due to Faltings-Wustholz and to Faltings respectively.

Seshadri constants and interpolation on commutative algebraic groups

Stéphane FischlerMichael Nakamaye — 2014

Annales de l’institut Fourier

In this article we study interpolation estimates on a special class of compactifications of commutative algebraic groups constructed by Serre. We obtain a large quantitative improvement over previous results due to Masser and the first author and our main result has the same level of accuracy as the best known multiplicity estimates. The improvements come both from using special properties of the compactifications which we consider and from a different approach based upon Seshadri constants and...

Einstein metrics on rational homology 7-spheres

Charles P. BoyerKrzysztof GalickiMichael Nakamaye — 2002

Annales de l’institut Fourier

In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2- connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.

Page 1

Download Results (CSV)