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math.AG1998
Relative Bott-Chern Secondary Characteristic Classes
Lin Weng
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 n…
math.AG1998
Omega Admissible Theory II: New metrics on determinant of cohomology And Their applications to moduli spaces of punctured Riemann surfaces
Lin Weng
For singular metrics, there is no Quillen metric formalism on cohomology determinant. In this paper, we develop an admissible theory, with which the arithmetic Deligne-Riemann-Roch…