Friedrich Hirzebruch’s research while affiliated with University of Bonn and other places

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (101)


Wolf Prize in Mathematics: Volume 1
  • Book

November 2011

·

1 Read

S S Chern

·

F Hirzebruch





Armand Borel

December 2004

·

6 Reads

Asian Journal of Mathematics

A reminiscence from one of his colleagues


Armand Borel (1923-2003)
  • Article
  • Full-text available

May 2004

·

407 Reads

·

1 Citation

·

Friedrich Hirzebruch

·

·

[...]

·

Memorial article with Knapp as editor and with the other nine people as authors

Download



Applications of Algebraic Geometry to Coding Theory, Physics and Computation

January 2001

·

62 Reads

·

3 Citations

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.


Citations (38)


... The integer g is called the genus of the family. The first embedded surface is a K3 surface of genus 9, embedded in CP 9 by the pillow (2,2)- pillow degeneration (see [6] for details). The resulting embedding can be degenerated into a union of 16 planes, such that the whole degenerated object would " resemble a pillow " (see figure 1 for clarification). ...

Reference:

On non Fundamental Group Equivalent Surfaces
Applications of Algebraic Geometry to Coding Theory, Physics and Computation
  • Citing Book
  • January 2001

... Whether we are in the even case or the odd case depends in general on the situation. For the 6-sphere, the base of the light cone in Minkowski space R(7, 1), we are in the odd case, but for signatures (5,3) or dually (3,5), the 6-sphere is replaced by the complex projective 3-space P , or its dual P * , the real ACS is integrable and we are in the even case. This is just linear algebra and easily checked. ...

Quelques théorèmes de non-plongement pour les variétés différentiables
  • Citing Article
  • January 1959

Bulletin de la Société mathématique de France

... A class of complex hyperbolic lattices in PU (2, 1) called the Deligne-Mostow lattices has been reinterpreted by Hirzebruch (see Hirzebruch, in: Arithmetic and geometry, vol II, volume 36 of Progress in Mathematics, Birkhäuser, Boston, pp 113-140, 1983;Barthel et al., in: Aspects of mathematics, D4. Friedrich Vieweg & Sohn, Braunschweig, 1987 and Tretkoff, in: Complex ball quotients and line arrangements in the projective plane, volume 51 of mathematical notes, Princeton University Press, Princeton, 2016) in terms of line arrangements. ...

Geradenkonfigurationen und Algebraische Flächen
  • Citing Book
  • January 1987

... Solutions to hyperbolic conservation laws often stay in an admissible state set G, also called the invariant domain. For instance, the solutions to initial value problems of scalar conservation laws satisfy a strict maximum principle (MP) [14]. Physically, both the density and pressure in the solutions to the compressible Euler equations should stay positive. ...

Grundlehren der mathematischen Wissenschaften
  • Citing Book
  • January 2000

... Each vertex x ∈ V n represents an individual at site x within a population of size n. From the perspective of an interacting particle system (IPS) (see Kipnis and Landim (1999); Liggett (1985)), we say that a configuration σ ∈ Ω n has a particle at site x ∈ V n if σ x = 1. If σ x = 0, we say that the site x is empty. ...

Grundlehren der mathematischen Wissenschaften
  • Citing Book
  • January 1999

... The contact process (sometimes also referred to as the SIS epidemic model) is a Markovian interacting particle system, which was first introduced to the mathematical literature by Harris [17] and has been studied extensively on hypercubic lattices throughout the 1970s, 1980s and early 1990s. An introduction to this classical theory as well as an overview of its main results is provided in the monographs [27,28]. In the 2000s renewed interest in the contact process emerged in the context of complex networks, and in particular researchers began to investigate the behaviour of the process on large but finite random graphs as a toy model for the spread of disease or information in a variety of mesoscopic systems, see, for example, [12] for an account of rigorous results in this area. ...

Grundlehren der mathematischen Wissenschaften
  • Citing Book
  • January 1999