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In this paper we adapt parametric geometry of numbers developed by WolfgangSchmidt and Leonard Summerer to a multiplicative setting, and derive a chain ofinequalities for the corresponding exponents which splits the transferenceinequality for Diophantine exponents of lattices in the same way Khintchine'stransference inequalities for simultaneous approximation can be split.

Multiplicative parametric geometry of numbers and transference theorems for lattice exponents