Max Planck Institute for Mathematics

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20022009

most citedDistributed Delays Facilitate Amplitude Death of Coupled Oscillators

326 citations

Showing 2009 · math.AGShow all

7 papers · 2 filters

math.AG2009★ 29 cited

Mapping F_1-land:An overview of geometries over the field with one element

Javier López Peña, Oliver Lorscheid

This paper gives an overview of the various approaches towards F_1-geometry. In a first part, we review all known theories in literature so far, which are: Deitmar's F_1-schemes, T…

math.AG2009

Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents

Jun-Muk Hwang

We formulate the equivalence problem, in the sense of E. Cartan, for families of minimal rational curves on uniruled projective manifolds. An important invariant of this equivalenc…

math.AG2009★ 2 cited

On an automorphism of $H i l b^{[2]}$ of certain K3 surfaces

Ekaterina Amerik

An example of potential density of rational points on the second punctual Hilbert scheme of certain K3 surfaces is treated in detail. This is an amplification of some remarks made…

math.AG2009★ 2 cited

Local B-model and Mixed Hodge Structure

Yukiko Konishi, Satoshi Minabe

We study the mixed Hodge theoretic aspects of the B-model side of local mirror symmetry. Our main objectives are to define an analogue of the Yukawa coupling in terms of the variat…

math.AG2009

A simple limit for slope instability

J. Stoppa, E. Tenni

Ross and Thomas have shown that subschemes can K-destabilise polarised varieties, yielding a notion known as slope (in)stability for varieties. Here we describe a special situation…

math.AG2009★ 10 cited

Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces

Pierre-Emmanuel Chaput, Nicolas Perrin

We prove a general combinatorial formula yielding the intersection number $c_{u, v}^{w}$ of three particular $Λ$ -minuscule Schubert classes in any Kac-Moody homogeneous space, general…