Seshadri Constants and Interpolation on Commutative Algebraic Groups

Stéphane Fischler (1) , Michael Nakamaye (2)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 Dep. of Math. and Stat., Univ. New Mexico

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 vanishing theorems.

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Stéphane Fischler, Michael Nakamaye. Seshadri Constants and Interpolation on Commutative Algebraic Groups. Annales de l'Institut Fourier, 2014, 64 (3), pp.1269-1289. ⟨hal-00698874⟩