Computing the Chern–Schwartz–MacPherson class of complete simplical toric varieties
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
Topological invariants such as characteristic classes are an important tool to aid in understanding and categorizing the structure and properties of algebraic varieties. In this note, we consider the problem of computing a particular characteristic class, the Chern–Schwartz–MacPherson class, of a complete simplicial toric variety X∑ defined by a fan ∑ from the combinatorial data contained in the fan ∑. Specifically, we give an effective combinatorial algorithm to compute the Chern–Schwartz–MacPherson class of X∑, in the Chow ring (or rational Chow ring) of X∑. This method is formulated by combining, and when necessary modifying, several known results from the literature and is implemented in Macaulay2 for test purposes.
Original language | English |
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Title of host publication | Applications of Computer Algebra : Kalamata, Greece, July 20–23 2015 |
Number of pages | 11 |
Publisher | Springer New York LLC |
Publication date | 2017 |
Pages | 207-217 |
ISBN (Print) | 9783319569307 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Event | 21st International Conference on Applications of Computer Algebra, ACA 2015 - Kalamata, Greece Duration: 20 Jul 2015 → 23 Jul 2015 |
Conference
Conference | 21st International Conference on Applications of Computer Algebra, ACA 2015 |
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Land | Greece |
By | Kalamata |
Periode | 20/07/2015 → 23/07/2015 |
Series | Springer Proceedings in Mathematics and Statistics |
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Volume | 198 |
ISSN | 2194-1009 |
- Chern class, Chern–Schwartz–MacPherson class, Computational intersection theory, Computer algebra, Toric varieties
Research areas
ID: 183131609