-adic monodromy of the universal deformation of a HW-cyclic Barsotti-Tate group.
p-adic semi-algebraic sets and cell decomposition.
Partial intersections and graded Betti numbers.
Pascal type properties of Betti numbers.
Perfekte Ideale und Vektormoduln über noetherschen Ringen
Pic is a contracted functor.
Planar graphs as minimal resolutions of trivariate monomial ideals.
Poincaré duality and commutative differential graded algebras
We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincaré duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincaré duality in the same dimension. This has applications in rational homotopy, giving Poincaré duality at the cochain level, which is of interest in particular in the study of configuration spaces and in string topology.
Pojective exterior Koszul homology and decomposititon of the Tor fonctor.
Polynomial Extensions and Excision for K1 .
Porjective Modules over Polynomial Rings.
Precobalanced and cobalanced sequences of modules over domains
The class of pure submodules () and torsion-free images () of finite direct sums of submodules of the quotient field of an integral domain were first investigated by M. C. R. Butler for the ring of integers (1965). In this case and short exact sequences of such modules are both prebalanced and precobalanced. This does not hold for integral domains in general. In this paper the notion of precobalanced sequences of modules is further investigated. It is shown that as in the case for abelian groups...
Produit tensoriel et complexe cotangent.
Profondeur d’anneaux d’invariants en caractéristique
Proprietá di ideali in domini d'integritá noetheriani
Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof.