In a skillet over medium heat, cook sausage until done; drain grease.
Add olive oil to sausage. Add onion, garlic and jalapeno; cook until onion is soft. Add tomatoes and artichokes; cook, stirring occasionally, for 3-4 minutes. Season with salt and pepper. Add eggs and cook, stirring until eggs are done.
Heat tortillas (on a griddle, if possible). Fill middle of each tortilla with artichoke mixture. Sprinkle with cheese. Fold ends, then roll up tortilla.