Jonas Baltes

activity

20212024

collaborators

3 papers

math.AG2024

Hilbert Schemes and Seshadri Constants

Jonas Baltes

In this paper we will propose a new method to investigate Seshadri constants, namely by means of (nested) Hilbert schemes. This will allow us to use the geometry of the latter spac…

math.AG2023

Lefschetz-type theorems for the effective cone on Hyperkähler varieties

Jonas Baltes

In this paper we show some Lefschetz-type theorems for the effective cone of Hyperkähler varieties. In particular we are able to show that the inclusion of any smooth ample divisor…

math.AG2021

Singular Rational Curves on Elliptic K3 Surfaces

Jonas Baltes

We show that on every elliptic K3 surface $X$ there are rational curves $(R_{i})_{i \in N}$ such that $R_{i}^{2} \to \infty$ , i.e., of unbounded arithmetic genus. Moreover, we sh…