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We have examined the period-luminosity (P-L) relation for delta Scuti starsusing Gaia DR2 parallaxes. We included 228 stars from the catalogue ofRodriguez et al. (2000), as well as 1124 stars observed in the four-year Keplermission. For each star we considered the dominant pulsation period, and usedDR2 parallaxes and extinction corrections to determine absolute V magnitudes.Many stars fall along a sequence in the P-L relation coinciding withfundamental-mode pulsation, while others pulsate in shorter-period overtones.The latter stars tend to have higher effective temperatures, consistent withtheoretical calculations. Surprisingly, we find an excess of stars lying on aridge with periods half that of the fundamental. We suggest this may be due toa 2:1 resonance between the third or fourth overtone and the fundamental mode.

The period-luminosity relation for delta Scuti stars using Gaia DR2 parallaxes