How to Make It
Light a grill. Brush the ears of corn with olive oil and season with salt and pepper. Lightly brush the grill with the vegetable oil and grill the corn over a medium-hot fire, turning frequently, until lightly charred and almost tender, about 5 minutes. Let cool slightly. Over a bowl, cut the kernels from the cobs.
In a saucepan of boiling salted water, cook the black-eyed peas until tender, about 12 minutes. Drain and refresh under cold water. Drain and pat dry.
In a large bowl, whisk the 1/3 cup of olive oil with the lime juice and balsamic vinegar. Season with salt and pepper. Add the grilled corn, black-eyed peas, red bell peppers, onion, cilantro and jalapeños and toss well. Season generously with salt and pepper. Cover and refrigerate for at least 1 hour or for up to 4 hours. Toss the black-eyed pea salad with the arugula and transfer to a platter just before serving.