Resurgence numbers of fiber products of projective schemes

Abstract

We investigate the resurgence and asymptotic resurgence numbers of fiber products of projective schemes. Particularly, we show that while the asymptotic resurgence number of the k-fold fiber product of a projective scheme remains unchanged, its resurgence number could strictly increase.

10 pages; remove the part about Chudnovsky's conjecture due to a gap in the proof