Euler characteristics of general linear sections and polynomial Chern classes

DOI10.1007/s12215-013-0106-xzbMath1312.14018arXiv1207.6638OpenAlexW2082406096WikidataQ60145517 ScholiaQ60145517MaRDI QIDQ1945102

Paolo Aluffi

Publication date: 2 April 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6638

zbMATH Keywords

Euler characteristicChern classeslinear sectionspolar maps

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Structural characterization of families of graphs (05C75)

Related Items (15)

Monodromy conjecture for log generic polynomials ⋮ Monomial Cremona transformations and toric polar maps ⋮ Segre Classes and Invariants of Singular Varieties ⋮ Likelihood Geometry ⋮ Local polar varieties in the geometric study of singularities ⋮ How many hypersurfaces does it take to cut out a Segre class? ⋮ Quantum field theory over \(\mathbb F_1\) ⋮ Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture ⋮ Linear optimization on varieties and Chern-Mather classes ⋮ Pfaffian integrals and invariants of singular varieties ⋮ Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties ⋮ The Euclidean distance degree of smooth complex projective varieties ⋮ THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME ⋮ Lê Cycles and Numbers of Hypersurface Singularities ⋮ A direct algorithm to compute the topological Euler characteristic and Chern-Schwartz-MacPherson class of projective complete intersection varieties

Uses Software

• Macaulay2
• CSM-A

Cites Work

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