Traditionally, Corsican regiments have been predominantly infantry-based, backed by formations of cavalry and artillery. Very few transports are implemented into the Corsican Commanders' school of thought. This primarily reflects the historical Corsican culture.
When originally rediscovered by the Imperium, Corsica was a developing feudal world. Corsican las technology was deteriorated, specifically in their cooling mechanism. Because engineers on the planet could not fully comprehend the internal components of a lasgun cooling system, Corsican-pattern lasguns were developed to only allow one shot every 15-20 seconds. This allowed an infantryman to fire three volleys every minute, without overheating his rifle.
Corsican commanders developed their battlefield tactics to adapt to the technology, and would arrange their soldiers in ranks, coordinating disciplined firing lines to allow a constant barrage of las fire at their enemies, which, more often than not, were other Corsicans.
Most lasguns produced on Corsica today still retain the firing delay mechanism, for both historical reasons, and for civil protection. Most Corsican boys raised with lasguns, taught how to shoot them, how to hunt with them, and as such they are already well trained marksmen when they are drafted into the military. Most serve their mandatory 5 year compulsory term in the Planetary Defense Force, but some are conscripted and sent off-world to fight in distant Imperial campaigns.
The Corsican regulars are generally given a Corsican-pattern lasgun, with the delayed firing mechanism. Fully automatic lasguns are reserved specifically for regimental veterans and elite combat units. As such, Corsican commanders that take to the field still employ the old firing ranks that were used centuries ago on Corsica, and they use it devastatingly. Of course, this isn't true for every Corsican commander. The more liberal commanders are starting to employ more transports and fast vehicles in their armies, developing rapid deployment and mechanized strategies to adapt to the ever changing ebb and flow of war in the 41st millennium.