Mirror symmetry and toric geometry.
Mirror symmetry for concavex vector bundles on projective spaces.
Mirror symmetry in dimension 3
Miscellaneous results and conjuctures on the ring of commuting matrices.
Mixed Automorphic Forms and Invariants of Elliptic Surfaces.
Mixed Hodge structure of affine hypersurfaces
In this article we give an algorithm which produces a basis of the -th de Rham cohomology of the affine smooth hypersurface compatible with the mixed Hodge structure, where is a polynomial in variables and satisfies a certain regularity condition at infinity (and hence has isolated singularities). As an application we show that the notion of a Hodge cycle in regular fibers of is given in terms of the vanishing of integrals of certain polynomial -forms in over topological -cycles on...
Mixed Hodge structures and automorphic forms for Siegel modular varieties of degree two.
Mixed Hodge structures on log deformations
Mixed Hodge Structures on the Homotopy of Links.
Mixed Hodge structures on the intersection cohomology of links
Mixed Hodge theory for unitary local systems.
Miyanishi's characterization of the affine 3-space does not hold in higher dimensions
We present an example which confirms the assertion of the title.
Modèle projectif régulier et désingularisation.
Modèles minimaux des courbes de genre deux.
Models of group schemes of roots of unity
Let be a discrete valuation ring of mixed characteristics , with residue field . Using work of Sekiguchi and Suwa, we construct some finite flat -models of the group scheme of -th roots of unity, which we call Kummer group schemes. We carefully set out the general framework and algebraic properties of this construction. When is perfect and is a complete totally ramified extension of the ring of Witt vectors , we provide a parallel study of the Breuil-Kisin modules of finite flat models...
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.
Modular curves and Poncelet polygons.
Modular Curves and the Class Group of Q(...p).
Modular curves and the Eisenstein ideal
Modular curves and unramified extensions of number fields