Back to Search
Start Over
Conormal Spaces and Whitney Stratifications.
- Source :
-
Foundations of Computational Mathematics . Oct2023, Vol. 23 Issue 5, p1745-1780. 36p. - Publication Year :
- 2023
-
Abstract
- We describe a new algorithm for computing Whitney stratifications of complex projective varieties. The main ingredients are (a) an algebraic criterion, due to Lê and Teissier, which reformulates Whitney regularity in terms of conormal spaces and maps, and (b) a new interpretation of this conormal criterion via ideal saturations, which can be practically implemented on a computer. We show that this algorithm improves upon the existing state of the art by several orders of magnitude, even for relatively small input varieties. En route, we introduce related algorithms for efficiently stratifying affine varieties, flags on a given variety, and algebraic maps. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGORITHMS
*COMPUTERS
Subjects
Details
- Language :
- English
- ISSN :
- 16153375
- Volume :
- 23
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Foundations of Computational Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 172754588
- Full Text :
- https://doi.org/10.1007/s10208-022-09574-8