# Determinacy Transfer for sigma-Projective Sets of Reals

### (with J. Aguilera and P. Schlicht)

Determinacy transfer theorems play an important role in the descriptive set theoretic and inner model theoretic study of pointclasses. We prove that determinacy for $\sigma$-projective sets, a natural generalization of projective sets to a $\sigma$-algebra, of length $\omega$ implies the determinacy of a large class of games of length $\omega^2$. The proof of this result involves inner models with large cardinals and in the process, we obtain a new proof of $\sigma$-projective determinacy for games of countable length from the existence of inner models with large cardinals.

A preprint of this paper will be uploaded here soon.