2 problems

Canonical Deligne–Riemann–Roch isomorphism. There is a canonical Deligne–Riemann–Roch isomorphism, functorially in $E$.

Let $(f:X\rightarrow S)\in \mathcal{F}^n$ be a projective flat morphism of pure relative dimension $n$, and let $E$ be a vector bundle on $X$. Let $\lambda(E)$ denote the determina…