CSM-A swMATH ID: 8455 Software Authors: Aluffi, Paolo Description: CSM-A Macaulay2 package for characteristic classes of singular varieties: This link contains the Macaulay2 code ‘CSM.m2’ based on the algorithm described in Computing characteristic classes of projective schemes. The code computes the push-forward to projective space of the Chern-Schwartz-MacPherson and Fulton classes of a projective scheme S, given its defining homogeneous ideal. Over C, This information includes the topological Euler characteristic of the support of S. Also produced by the code are functions computing the Segre class of S in projective space, and the Euler characteristic of an affine scheme, given its defining ideal. Homepage: http://www.math.fsu.edu/~aluffi/CSM/CSM.html Dependencies: Macaulay2 Related Software: Macaulay2; CharacteristicClasses; FMPIntersectionTheory; SageMath; Bertini; PHCpack; Book3264Examples; Magma; alphaCertified; Cremona; SegreClasses; Kronecker; CALI; SEGRE; ChanToric; char-class-calc; PARI/GP; LinBox; Zeta; Guarana Cited in: 22 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Segre classes of monomial schemes. Zbl 1286.14008Aluffi, Paolo 2013 Computing characteristic classes of projective schemes. Zbl 1074.14502Aluffi, Paolo 2003 all top 5 Cited by 21 Authors 6 Aluffi, Paolo 6 Helmer, Martin 2 Harris, Corey 1 Achilles, Rüdiger 1 Battistella, Luca 1 Bürgisser, Peter 1 Carocci, Francesca 1 Cucker, Felipe 1 Fassarella, Thiago 1 Hauenstein, Jonathan D. 1 Huh, June 1 Jorgenson, Grayson 1 Lotz, Martin 1 Manaresi, Mirella 1 Manolache, Cristina 1 Medeiros, Nivaldo 1 Moe, Torgunn Karoline 1 Pruschke, Thilo 1 Qviller, Nikolay 1 Rossmann, Tobias 1 Staglianò, Giovanni all top 5 Cited in 16 Serials 4 Journal of Symbolic Computation 3 Journal of Algebra 1 Mathematics of Computation 1 Advances in Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Journal of the American Mathematical Society 1 Experimental Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Electronic Research Announcements in Mathematical Sciences 1 Forum of Mathematics, Sigma all top 5 Cited in 9 Fields 22 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 5 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Citations by Year