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Néron models from the rigid analytic viewpoint

Siegfried Bosch (1984/1985)

Groupe de travail d'analyse ultramétrique

Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs

Victor V. Batyrev (1999)

Journal of the European Mathematical Society

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 $V$ having a regular action of a finite group $G$ . 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 $1$ -convex manifolds

Jan Stevens (2014)

Annales de l’institut Fourier

We show that every small resolution of a 3-dimensional terminal hypersurface singularity can occur on a non-embeddable $1$ -convex manifold.We give an explicit example of a non-embeddable manifold containing an irreducible exceptional rational curve with normal bundle of type $(1, - 3)$ . To this end we study small resolutions of $c D_{4}$ -singularities.

Numerical character of the effectivity of adjoint line bundles

Frédéric Campana, Vincent Koziarz, Mihai Păun (2012)

Annales de l’institut Fourier

In this note we show that, for any log-canonical pair $(X, Δ)$ , $K_{X} + Δ$ is $ℚ$ -effective if its Chern class contains an effective $ℚ$ -divisor. Then, we derive some direct corollaries.

Displaying 1 – 4 of 4

Néron models from the rigid analytic viewpoint

Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs

Non-embeddable 1 -convex manifolds

Numerical character of the effectivity of adjoint line bundles

Currently displaying 1 – 4 of 4

Non-embeddable $1$ -convex manifolds