Preheat grill, grill pan, or cast-iron skillet to medium-high heat.
Grill corn, covered, until charred, about 10 minutes.
Transfer corn to a cutting board and let cool slightly.
Meanwhile, in a large bowl, whisk together lime juice, oil, vinegar, honey, coriander, salt and a few turns of black pepper for the vinaigrette.
Cut corn kernels from cob and add to bowl with vinaigrette. Add shredded cabbage, onion, cilantro and jalapeno and toss until thoroughly combined; season with additional salt and pepper to taste.