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So far only six families of smooth irregular surfaces are known to exist in P^4 (up to pullbacks by suitable finite covers of P^4). These are the elliptic quintic scrolls, the minimal abelian and… (More)

- Janko Böhm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister, Andreas Steenpaß, Stefan Steidel
- J. Symb. Comput.
- 2013

Given a reduced affine algebra A over a perfect field K, we present parallel algorithms to compute the normalization A@? of A. Our starting point is the algorithm of Greuel et al. (2010), which is an… (More)

The Hilbert series and degree bounds play significant roles in computational invariant theory. In the modular case, neither of these tools is avrulable in general. In this article three results are… (More)

Introductory Remarks on Computer Algebra.- 1 Basic Notations and Ideas: A Historical Account.- 2 Basic Computational Problems and Their Solution.- 3 An Introduction to SINGULAR.- Practical Session I… (More)

- Janko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister
- Math. Comput.
- 2012

A standard method for finding a rational number from its values modulo a collection of primes is to determine its value modulo the product of the primes via Chinese remaindering, and then use Farey… (More)

We present a new algorithm for computing the normalization \(\bar{R}\) of a reduced affine ring R, together with some remarks on efficiency based on our experience with an implementation of this… (More)

- Wolfram Decker, Frank-Olaf Schreyer
- J. Symb. Comput.
- 2000

- Wolfram Decker
- 1990

Monads are a useful tool to construct and study rank 2 vector bundles on the complex projective space ℙn, n ≥ 2 (compare [O-S-S]). Horrocks’ technique of eliminating cohomology [Ho 2] represents a… (More)