Maximally generated Cohen-Macaulay modules.
Metrics with homogeneous geodesics on flag manifolds
A geodesic of a homogeneous Riemannian manifold is called homogeneous if it is an orbit of an one-parameter subgroup of . In the case when is a naturally reductive space, that is the -invariant metric is defined by some non degenerate biinvariant symmetric bilinear form , all geodesics of are homogeneous. We consider the case when is a flag manifold, i.eȧn adjoint orbit of a compact semisimple Lie group , and we give a simple necessary condition that admits a non-naturally reductive...
Minimal Discrepancies of Toric Singularities.
Minimal resolutions of lattice ideals and integer linear programming.
A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Al1gebra. The non null reduced homology spaces of some simplicial complexes are the key. The extremal rays of the associated cone reduce the number of variables.
Minimal sets of generators for the relation ideals of certain monomial curves.
Minimal singularities for representations of Dynkin quivers.
Minimal Singularities in GLn.
Minimal Surface in the 4-Quadric
Minimum essentiel et degrés d'obstruction des translatés de sous-tores
Minorations de nombres de Milnor
Mirror symmetry and toric geometry.
Miscellaneous results and conjuctures on the ring of commuting matrices.
Modified Nash triviality of a family of zero-sets of real polynomial mappings
In this paper we introduce the notion of modified Nash triviality for a family of zero sets of real polynomial map-germs as a desirable one. We first give a Nash isotopy lemma which is a useful tool to show triviality.Then, using it, we prove two types of modified Nash triviality theorem and a finite classification theorem for this triviality. These theorems strengthen similar topological results.
Moduli reflexiver Garben und Flächen von kleinem Grad in IP4.
Moduli spaces of decomposable morphisms of sheaves and quotients by non-reductive groups
We extend the methods of geometric invariant theory to actions of non–reductive groups in the case of homomorphisms between decomposable sheaves whose automorphism groups are non–reductive. Given a linearization of the natural action of the group on Hom(E,F), a homomorphism is called stable if its orbit with respect to the unipotent radical is contained in the stable locus with respect to the natural reductive subgroup of the automorphism group. We encounter effective numerical conditions for...
Moduli-stacks for bundles on semistable curves.
Moment-angle complexes from simplicial posets
We extend the construction of moment-angle complexes to simplicial posets by associating a certain T m-space Z S to an arbitrary simplicial poset S on m vertices. Face rings ℤ[S] of simplicial posets generalise those of simplicial complexes, and give rise to new classes of Gorenstein and Cohen-Macaulay rings. Our primary motivation is to study the face rings ℤ[S] by topological methods. The space Z S has many important topological properties of the original moment-angle complex Z K associated to...
Monodromy of a family of hypersurfaces
Let be an -dimensional irreducible smooth complex projective variety embedded in a projective space. Let be a closed subscheme of , and be a positive integer such that is generated by global sections. Fix an integer , and assume the general divisor is smooth. Denote by the quotient of by the cohomology of and also by the cycle classes of the irreducible components of dimension of . In the present paper we prove that the monodromy representation on for the family of smooth...
Monodromy of functions defined on isolated singularities of complete intersections
Monoidi del quarto ordine di a curve sottoinsieme intersezione completa