Generalities.- Some noncommutative Algebra.- Graded rings.- The finishing touch on localization.- Structure sheaves and schemes.- Algebraic varieties.- Coherent and quasicoherent sheaves of modules over an algebraic k-variety.- Products, subvarieties etc....- Representation theory revisited.- Birationality and quasivarieties.- A non-commutative version of the riemann-roch theorem for curves.- Work in progress, [91].
Javier Bajo, Juan M. Corchado, Elena María Navarro Martínez, Eneko Osaba Icedo, Philippe Mathieu, Patrycja Hoffa-Dąbrowska, Elena del Val, Sylvain Giroux, Antonio J.M. Castro, Nayat Sánchez-Pi, Vicente Julián, Ricardo Azambuja Silveira, Alberto Fernández, Rainer Unland, Rubén Fuentes-Fernández