arXiv subjects

Hans Baumers

Publications and source records attributed to Hans Baumers.

2 recordsLinked to original sources

arXiv2017

Contribution of jumping numbers by exceptional divisors, with an appendix by Karen E. Smith and Kevin Tucker

We investigate some necessary and sufficient conditions for an exceptional divisor to contribute jumping numbers of an effective divisor on a variety of arbitrary dimension, inspired by the results for curves on surfaces by Smith and Thompson and Tucker. In particular, we construct an example of an exceptional divisor that is not contracted in the log canonical model, and does not contribute any jumping numbers.

math.AG↗

arXiv2016

Computing jumping numbers in higher dimensions

The aim of this paper is to generalize the algorithm to compute jumping numbers on rational surfaces described in [AAD14] to varieties of dimension at least 3. Therefore, we introduce the notion of $π$-antieffective divisors, generalizing antinef divisors. Using these divisors, we present a way to find a small subset of the `classical' candidate jumping numbers of an ideal, containing all the jumping numbers. Moreover, many of these numbers are automatically jumping numbers, and in many other cases, it can be easily checked.

math.AG↗