An algorithm to compute certain euler characteristics and chern-schwartz-macpherson classes
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An algorithm to compute certain euler characteristics and chern-schwartz-macpherson classes. / Helmer, Martin.
Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, SNC 2014. Association for Computing Machinery, Inc., 2014. p. 130-131.Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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TY - GEN
T1 - An algorithm to compute certain euler characteristics and chern-schwartz-macpherson classes
AU - Helmer, Martin
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Chern-Schwartz-MacPherson class
KW - Computational intersection theory
KW - Computer algebra
KW - Euler characteristic
KW - Segre class
UR - http://www.scopus.com/inward/record.url?scp=84906319198&partnerID=8YFLogxK
U2 - 10.1145/2631948.2631972
DO - 10.1145/2631948.2631972
M3 - Article in proceedings
AN - SCOPUS:84906319198
SN - 9781450329637
SP - 130
EP - 131
BT - Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, SNC 2014
PB - Association for Computing Machinery, Inc.
T2 - 2014 Symposium on Symbolic-Numeric Computation, SNC 2014
Y2 - 28 July 2014 through 31 July 2014
ER -
ID: 183131705