Minimal families of curves on surfaces

Homepage

See my research statement for an overview of my research on minimal families.

PhD thesis

During my PhD I started to do research on minimal families.

See section 2.3 in [1] for the main contributions.

The following articles contain the content of my PhD thesis.

The following articles improve, extend and/or correct the following parts of my thesis:

Implementation of algorithms (work in progress)

These algorithms are implemented in Sage/Magma and are used to compute the number of minimal families on weak Del Pezzo surfaces. See chapter 8 in the thesis for more information. There is an implementation of the algorithm which analyses infinitely near base points of a given linear series in the projective plane. We also provide an implementation of computing linear series in the plane for given base points. We work over the algebraic closure of the rationals.

Presentations

Examples of minimal families