Relative Bott-Chern Secondary Characteristic Classes

1998/10/19 by Lin Weng, Weng, Lin
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.math/9810117

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arxiv created 1998/10/19 · arxiv updated 2009/11/30

Abstract

In this paper, we introduce six axioms for relative Bott-Chern secondary characteristic classes and prove the uniqueness and existence theorem for them. Such a work provides us a natural way to understand and hence to prove the arithmetic Grothendieck-Riemann-Roch theorem.

Related

• The categorified Grothendieck-Riemann-Roch theorem
• Uniqueness of equivariant singular Bott-Chern classes
• Quillen's relative Chern character is multiplicative
• Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance
• Bott-Chern characteristic classes of blow-ups