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An elliptic conic bundle in
$\mathbb{P}^4$ arising from a stable rank-3 vector bundle

- Hirotachi Abo, W. Decker, N. Sasakura
- Mathematics
- 1 December 1998

Primary Decomposition: Algorithms and Comparisons

- W. Decker, G. Greuel, G. Pfister
- Mathematics, Computer Science
- Algorithmic Algebra and Number Theory
- 1997

TLDR

Computing in Algebraic Geometry: A Quick Start using SINGULAR

- W. Decker, Christoph Lossen
- Mathematics
- 1 April 2006

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… Expand

Syzygies of Abelian and Bielliptic Surfaces in ℙ4

- A. Aure, W. Decker, K. Hulek, S. Popescu, K. Ranestad
- Mathematics
- 20 June 1996

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… Expand

Non-general Type Surfaces in P4: Some Remarks on Bounds and Constructions

- W. Decker, F. Schreyer
- Computer Science, Mathematics
- J. Symb. Comput.
- 1 April 2000

Sheaf algorithms using the exterior algebra

- W. Decker, D. Eisenbud
- Mathematics
- 2002

In this chapter we explain constructive methods for computing the cohomology of a sheaf on a projective variety. We also give a construction for the Beilinson monad, a tool for studying the sheaf… Expand

The use of bad primes in rational reconstruction

- J. Böhm, W. Decker, C. Fieker, G. Pfister
- Computer Science, Mathematics
- Math. Comput.
- 6 July 2012

TLDR

The Normalization: a new Algorithm, Implementation and Comparisons

- W. Decker, T. D. Jong, G. Greuel, G. Pfister
- Mathematics
- 1999

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… Expand

Computing integral bases via localization and Hensel lifting

- Janko Boehm, W. Decker, Santiago Laplagne, G. Pfister
- Mathematics
- 19 May 2015

We present a new algorithm for computing integral bases in algebraic function fields, or equivalently for constructing the normalization of a plane curve. Our basic strategy makes use of localization… Expand

An elliptic conic bundle in P^4 arising from a stable rank-3 vector bundle

- Hirotachi Abo, W. Decker, N. Sasakura
- Mathematics
- 28 August 1997

In this note we show the existence of a family of elliptic conic bundles in P^4 of degree 8. This family has been overlooked and in fact falsely ruled out in a series of classification papers. Our… Expand

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