Maps onto certain Fano threefolds.
Mather discrepancy and the arc spaces
A goal of this paper is a characterization of singularities according to a new invariant, Mather discrepancy. We also show some evidences convincing us that Mather discrepancy is a reasonable invariant in a view point of birational geometry.
Minimal models and the Kodaira dimension of algebraic fiber spaces.
Minimal models for elliptic curves with complex multiplication
Minimal models of algebraic threefolds : Mori's program
Minimal models of foliated algebraic surfaces
Minimal varieties with trivial canonical classes, I.
Modèle projectif régulier et désingularisation.
Modèles minimaux des courbes de genre deux.
Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe
Moduli spaces of covers and the Hurwitz monodromy group.
Monodromy conjecture for some surface singularities
Morphisms of projective varieties from the viewpoint of minimal model theory [Book]
Nakamaye’s theorem on log canonical pairs
We generalize Nakamaye’s description, via intersection theory, of the augmented base locus of a big and nef divisor on a normal pair with log-canonical singularities or, more generally, on a normal variety with non-lc locus of dimension . We also generalize Ein-Lazarsfeld-Mustaţă-Nakamaye-Popa’s description, in terms of valuations, of the subvarieties of the restricted base locus of a big divisor on a normal pair with klt singularities.
Néron models from the rigid analytic viewpoint
New Examples of Threefolds with c1 = 0.
Noether's problem for some groups of order 16n
Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
Using non-Archimedian integration over spaces of arcs of algebraic varieties, we define stringy Euler numbers associated with arbitrary Kawamata log-terminal pairs. There is a natural Kawamata log-terminal pair corresponding to an algebraic variety having a regular action of a finite group . In this situation we show that the stringy Euler number of this pair coincides with the physicists’ orbifold Euler number defined by the Dixon-Harvey-Vafa-Witten formula. As an application, we prove a conjecture...
Non-embeddable -convex manifolds
We show that every small resolution of a 3-dimensional terminal hypersurface singularity can occur on a non-embeddable -convex manifold.We give an explicit example of a non-embeddable manifold containing an irreducible exceptional rational curve with normal bundle of type . To this end we study small resolutions of -singularities.
Nonisomorphic algebraic models of a smooth manifold.