Nonproper intersection products and generalized cycles

DOI10.1007/s40879-021-00473-wzbMath1484.32013arXiv1908.11759OpenAlexW3168863366MaRDI QIDQ2667140

Dennis Eriksson, Elizabeth Wulcan, Mats Andersson, Alain Yger, Håkan Samuelsson Kalm

Publication date: 24 November 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11759

zbMATH Keywords

currentsanalytic cyclesMonge-Ampère type productnonproper intersectionsStückrad-Vogel procedure

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Integration on analytic sets and spaces, currents (32C30) Complex spaces (32C15) Residues for several complex variables (32A27)

Related Items

A note on smooth forms on analytic spaces ⋮ On non-proper intersections and local intersection numbers ⋮ Non-pluripolar energy and the complex Monge-Ampère operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lectures on results on Bezout's theorem. Notes by D. P. Patil
• Excess intersections and a correspondence principle
• Arithmetic intersection theory
• Multiplicities of a bigraded ring and intersection theory
• Residue currents and ideals of holomorphic functions
• Global representation of Segre numbers by Monge-Ampère products
• Segre numbers, a generalized King formula, and local intersections
• Heights of Projective Varieties and Positive Green Forms
• Segre Numbers and Hypersurface Singularities
• Joins and Intersections
• Intersection theory in complex analytic geometry
• Intersection numbers, Segre numbers and generalized Samuel multiplicities