A direct algorithm to compute the topological Euler characteristic and Chern-Schwartz-MacPherson class of projective complete intersection varieties
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[1] Paolo Aluffi. Computing characteristic classes of projective schemes , 2003, J. Symb. Comput..
[2] Jacob T. Schwartz,et al. Fast Probabilistic Algorithms for Verification of Polynomial Identities , 1980, J. ACM.
[3] James Fullwood,et al. On Milnor classes via invariants of singular subschemes , 2013, 1310.2370.
[4] Richard Zippel,et al. Probabilistic algorithms for sparse polynomials , 1979, EUROSAM.
[5] Johan P. Hansen,et al. INTERSECTION THEORY , 2011 .
[6] Mboyo Esole,et al. Chern Class Identities from Tadpole Matching in Type IIB and F-Theory , 2007, 0710.2544.
[7] Tatsuo Suwa. Classes de Chern des intersections complètes locales , 1997 .
[8] A. Banfi,et al. Non-global logarithms and jet algorithms in high-pT jet shapes , 2010, 1004.3483.
[9] Shoji Yokura,et al. Characteristic classes for singular varieties , 1987 .
[10] P. Aluffi. Euler characteristics of general linear sections and polynomial Chern classes , 2012, 1207.6638.
[11] F. J. Rayner,et al. An algebraically closed field , 1968, Glasgow Mathematical Journal.
[12] P. Aluffi,et al. New orientifold weak coupling limits in F-theory , 2009, 0908.1572.
[13] June Huh,et al. The maximum likelihood degree of a very affine variety , 2012, Compositio Mathematica.
[14] Richard J. Lipton,et al. A Probabilistic Remark on Algebraic Program Testing , 1978, Inf. Process. Lett..
[15] P. Aluffi. Singular schemes of hypersurfaces , 1995 .
[16] Martin Helmer,et al. Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties , 2014, J. Symb. Comput..
[17] Christine Jost,et al. An algorithm for computing the topological Euler characteristic of complex projective varieties , 2013, 1301.4128.
[18] Robert MacPherson,et al. Chern Classes for Singular Algebraic Varieties , 1974 .
[19] C. Peterson,et al. A method to compute Segre classes of subschemes of projective space , 2011, 1109.5895.
[20] Jonathan D. Hauenstein,et al. Software for numerical algebraic geometry: a paradigm and progress towards its implementation , 2008 .
[21] Joe W. Harris,et al. Algebraic Geometry: A First Course , 1995 .
[22] Jan Verschelde,et al. Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation , 1999, TOMS.
[23] F. Denef,et al. D-brane Deconstructions in IIB Orientifolds , 2008, 0805.1573.
[24] Felipe Cucker,et al. Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets , 2005, Found. Comput. Math..
[25] Andrew J. Sommese,et al. The numerical solution of systems of polynomials - arising in engineering and science , 2005 .