Homology theory formulas for generalized Riemann-Hurwitz and generalized monoidal transformations

DOI10.1007/s40590-017-0191-5zbMath1456.57022arXiv1708.07267OpenAlexW2963398735MaRDI QIDQ2316791

Alberto Verjovsky, James F. Glazebrook

Publication date: 7 August 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07267

zbMATH Keywords

signaturehomology theoryRiemann-Hurwitz formulastratified pseudomanifoldChern-Schwartz-MacPherson classblowing-up processcohomology signature classgeneralized monoidal transformationhomology L-classvirtual tangent bundle

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Low-dimensional topology of special (e.g., branched) coverings (57M12) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Algebraic topology on manifolds and differential topology (57R19)

Related Items

Rational and Iterated Maps, Degeneracy Loci, and the Generalized Riemann-Hurwitz Formula

Cites Work

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• A note on the Chern–Schwartz–MacPherson class
• Nearby cycles and characteristic classes of singular spaces
• Residues of singular holomorphic distributions
• Generalisation de la Formule de Riemann-Hurwitz
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