Base independent algebraic cobordism

نویسندگان

چکیده

The purpose of this article is to show that the bivariant algebraic A-cobordism groups considered previously by author are independent chosen base ring A. This result proven analyzing ideal generated so called snc relations, and, while alternative characterization we obtain for interesting itself because its simplicity, perhaps more importantly it allows us easily extend definition cobordism divisorial Noetherian derived schemes finite Krull dimension. As an corollary, define corresponding homology theory bordism. We also generalize projective bundle formula, Chern classes, Conner–Floyd theorem and Grothendieck–Riemann–Roch setting. general definitions based on careful study ample line bundles quasi-projective morphisms schemes, undertaken in work.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2022

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2021.106977