An algorithm to compute certain euler characteristics and chern-schwartz-macpherson classes
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
Let V be a possibly singular scheme-theoretic global complete intersection subscheme of Pn and assume that V can be written as the intersection of j hypersurfaces such that the intersection of j -1 of the hypersurfaces is smooth (scheme theoretically). Using a result of Fullwood [5] we develop a probabilistic algorithm to compute the Chern-Schwartz-MacPherson class (cSM) and Euler characteristic of V . This algorithm complements existing algorithms by providing performance improvements in the computation of the cSM class and Euler characteristic for schemes having the special structure described above.
Original language | English |
---|---|
Title of host publication | Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, SNC 2014 |
Number of pages | 2 |
Publisher | Association for Computing Machinery, Inc. |
Publication date | 2014 |
Pages | 130-131 |
ISBN (Print) | 9781450329637 |
DOIs | |
Publication status | Published - 2014 |
Externally published | Yes |
Event | 2014 Symposium on Symbolic-Numeric Computation, SNC 2014 - Shanghai, China Duration: 28 Jul 2014 → 31 Jul 2014 |
Conference
Conference | 2014 Symposium on Symbolic-Numeric Computation, SNC 2014 |
---|---|
Land | China |
By | Shanghai |
Periode | 28/07/2014 → 31/07/2014 |
Sponsor | Academy of Mathematics and Systems Science, East China Normal University, et al, National Basic Research Program of China, National Natural Science Foundation of China, Ontario Research Centre for Computer Algebra |
- Chern-Schwartz-MacPherson class, Computational intersection theory, Computer algebra, Euler characteristic, Segre class
Research areas
ID: 183131705