Bring a large pot of salted water to a boil. Add the pasta and cook as the label directs; add the peas, asparagus and kale to the pot during the last 3 minutes of cooking and stir occasionally. Reserve 1/2 cup cooking water, then drain the pasta and vegetables.
Meanwhile, combine the olive oil, all but 2 tablespoons chives, the lemon zest and juice, 1 teaspoon salt and a few grinds of pepper in a blender. Add 3 tablespoons cold water and pulse until smooth, scraping down the inside of the blender. Transfer to a large bowl. Stir in the tarragon and drizzle with olive oil.
Add the pasta and vegetables to the chive puree along with 1/4 cup of the reserved cooking water and half of the cheese; season with salt and pepper. Toss well to coat, adding more cooking water to loosen, if necessary. Serve topped with the remaining cheese and chives.
Photograph by David Malosh
Courtesy of Food Network Magazine