Logique de la géométrie algébrique
Lokale Algebra und lokale Geometrie.
Manis valuations and Prüfer extensions
Matrix factorizations and singularity categories for stacks
We study matrix factorizations of a potential W which is a section of a line bundle on an algebraic stack. We relate the corresponding derived category (the category of D-branes of type B in the Landau-Ginzburg model with potential W) with the singularity category of the zero locus of W generalizing a theorem of Orlov. We use this result to construct push-forward functors for matrix factorizations with relatively proper support.
Modules over regular algebras of dimension 3.
Moduli for stable marked trees of projective lines.
Monomorphismes et morphismes absolument plats
Motifs des variétés algébriques
Motifs, L-Functions, and the K-Cohomology of Rational Surfaces over Finite Fields.
Motives for modular forms.
Motives, numerical equivalence, and semi-simplicity.
Motivi associati a successioni di coomologia relativa
Motivic cohomology and values of zeta functions
Motivic decomposition of abelian schemes and the Fourier transform.
Motivic Landweber exactness.
Multiplicative properties of projectively dual varieties.
Nonassociative algebras: a framework for differential geometry.
Noncommutative algebraic geometry.
The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure. In this paper we shall show that one may overcome these difficulties by introducing a noncommutative algebraic geometry, where affine schemes are modeled...
Noncommutative algebraic geometry: From pi-algebras to quantum groups.
Noncommutative compact manifolds constructed from quivers.