Wolf Barth (mathematician)
Wolf Paul Barth (born October 20, 1942 in Wernigerode ; † December 30, 2016 ) was a German mathematician who dealt with algebraic geometry .
Barth received his doctorate in 1967 under Reinhold Remmert (and Hans Grauert ) at the University of Göttingen ( Some Properties of Analytical Sets in Compact Complex Manifolds ). From 1976, Barth was a full professor of mathematics at the University of Erlangen as the successor to Georg Nöbeling .
Among other things, he dealt with algebraic vector bundles and surfaces in complex projective spaces and Abelian varieties .
In 1996 he constructed a sextic (surface of the sixth degree) in three-dimensional complex projective space with a maximum number of colon singularities (65), the Barth sextic . It has the symmetries of an icosahedron as well as an area of degree 10 with 345 colons, which he also stated in 1996. With the construction of the Barth sextic he also refuted Francesco Severi , who had published a proof in 1946 that sextics could have a maximum of 52 colons in three-dimensional projective space.
Klaus Hulek is one of his doctoral students .
Fonts
- Local cohomology for isolated singularities of analytical sets (= series of publications by the Mathematical Institute of the University of Münster. Series 2, no. 5). Mathematical Institute of the University of Münster, Münster 1971.
- Modules of vector bundles on the projective plane. In: Inventiones Mathematicae . Volume 42, 1977, pp. 63-91 .
- Some properties of stable rank-2 vector bundles on . In: Mathematical Annals . Volume 226, 1977, pp. 125-150 .
- with Klaus Hulek , Chris Peters , Antonius van de Ven : Compact complex surfaces (= results of mathematics and its border areas . Volume 3, volume 4). Springer, Berlin et al. 1984, ISBN 3-540-12172-2 (2nd enlarged edition. Ibid 2004, ISBN 3-540-00832-2 ).
- with Peter Knabner : Lineare Algebra. Basics and Applications. Springer Spectrum, Berlin / Heidelberg 2013, ISBN 978-3-642-32185-6 .
Web links
- Homepage in Erlangen
- Literature by and about Wolf Barth in the catalog of the German National Library
- Author profile in the database zbMATH
Individual evidence
- ^ Mathematics Genealogy Project
- ↑ Barth: Two projective surfaces with many nodes, admitting the symmetries of the icosahedron. In: Journal of Algebraic Geometry. Volume 5, No. 1, 1996, pp. 173-186. Barth Sextic, Mathworld , page by Stephan Endraß about this
- ↑ Barth's Decic, side by Stephan Enddraß
| personal data | |
|---|---|
| SURNAME | Barth, wolf |
| ALTERNATIVE NAMES | Barth, Wolf Paul (full name) |
| BRIEF DESCRIPTION | German mathematician |
| DATE OF BIRTH | October 20, 1942 |
| PLACE OF BIRTH | Wernigerode |
| DATE OF DEATH | December 30, 2016 |