This work is devoted to the mathematical study of the Hawking effect for fermions in the setting of the collapse of a rotating charged star. The author shows that an observer who is located far away from the star and at rest with respect to the BoyerLindquist coordinates observes the emergence of a thermal state when his proper time goes to infinity. The author first introduces a model of the collapse of the star. He supposes that the spacetime outside the star is given by the KerrNewman metric. The assumptions on the asymptotic behavior of the surface of the star are inspired by the asymptotic behavior of certain timelike geodesics in the KerrNewman metric. The Dirac equation is then written using coordinates and a NewmanPenrose tetrad, which are adapted to the collapse. This coordinate system and tetrad are based on the socalled simple null geodesics. The quantization of Dirac fields in a globally hyperbolic spacetime is described. The author formulates and proves a theorem about the Hawking effect in this setting. The proof of the theorem contains a minimal velocity estimate for Dirac fields that is slightly stronger than the usual ones and an existence and uniqueness result for solutions of a characteristic Cauchy problem for Dirac fields in the KerrNewman spacetime. In an appendix the author constructs explicitly a Penrose compactification of block \(I\) of the KerrNewman spacetime based on simple null geodesics. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in differential equations. Table of Contents  Introduction
 Strategy of the proof and organization of the article
 The model of the collapsing star
 Classical Dirac fields
 Dirac quantum fields
 Additional scattering results
 The characteristic Cauchy problem
 Reductions
 Comparison of the dynamics
 Propagation of singularities
 Proof of the main theorem
 Bibliography
