NEW YORK, Apr 2 (Reuters) - The New York Times reported the following stories on its front page on Monday. Reuters has not verified these stories and does not vouch for their accuracy. --- A new generation of Qaeda chiefs is seen on the rise. --- A recent case has questioned the ability of small hospitals to care for patients who suffer complications after their operations. --- In Iraq's increasingly violent Diyala Province, the Third Brigade Combat Team of the First Cavalry Division has seen 39 soldiers die in five months. --- School aid fight erupts in Albany as New York state budget passes --- Inexpensive genetic testing is turning the once-staid pursuit of genealogy into an extreme sport. --- In Indiana, people fleeing the violence of Darfur find an unlikely new home that is diverse and welcoming. --- A battle to turn a former Christian church into a mosque underscored Britain's unease with its Muslim minority. ---