direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Page Content

There is no English translation for this web page.

Ehemalige Mitarbeiter

Prof. Dr. Martin Lotz

Lupe

Kontakt
Mathematics Institute
Zeeman Building
University of Warwick
Coventry CV4 7AL
United Kingdom
 
Persönliche Homepage
http://homepages.warwick.ac.uk/staff/Martin.Lotz/

Publikationen in der Arbeitsgruppe

Counting Complexity Classes for Numeric Computations III: Complex Projective Sets
Citation key BCL-Counting-Complexity-Classes-For-Numeric-Computations-Iii-Complex-Projective-Sets
Author Peter Bürgisser and Felipe Cucker and Martin Lotz
Pages 351-387
Year 2005
Journal Foundations of Computational Mathematics
Volume 5
Number 4
Abstract In [Bürgisser & Cucker 2004a] counting complexity classes $\#P_R$ and $\#P_C$ in the Blum-Shub-Smale setting of computations over the real and complex numbers, respectively, were introduced. One of the main results of [Bürgisser & Cucker 2004a] is that the problem to compute the Euler characteristic of a semialgebraic set is complete in the class $FP_R^R}$. In this paper, we prove that the corresponding result is true over $\mathbb C$, namely that the computation of the Euler characteristic of an affine or projective complex variety is complete in the class $FP_C^C}$. We also obtain a corresponding completeness result for the Turing model.
Link to publication Link to original publication Download Bibtex entry

Zusatzinformationen / Extras

Quick Access:

Schnellnavigation zur Seite über Nummerneingabe

Auxiliary Functions

This site uses Matomo for anonymized webanalysis. Visit Data Privacy for more information and opt-out options.