Seshadri constants on Bott towers

Abstract

For a positive integer $n$, let $X_n\to X_{n-1}\to \dots \to X_2\to X_1\to X_0$ be a Bott tower of height $n$, and let $L$ be a nef line bundle on $X_n$. We compute Seshadri constants $\epsilon (X_n,L,x)$ of $L$ at any point $x\in X_n$ under some conditions.

17 pages; final version; to appear in J. Algebra