Multiplicity estimates, interpolation, and transcendence theory. (English) Zbl 1268.11097

Nakamaye, Michael

Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 475-498 (2012).

The author discusses the connection between the problems of interpolation and multiplicity estimates in two distinct settings, presented in the common framework of compactifications of commutative algebraic groups. In the former, the multiplicity is imposed at a single very general point of a smooth projective variety, while in the latter the conditions are imposed on an asymptotically growing set of points of the group. Some conjectures and new results are given in both cases.
For the entire collection see [Zbl 1230.00036].

Reviewer: Antonio Lanteri (Milano)

MSC:

11J81	Transcendence (general theory)
14C20	Divisors, linear systems, invertible sheaves
14L40	Other algebraic groups (geometric aspects)

Keywords:

Multiplicity estimates; Seshadri constant; algebraic group