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4 papers · 2 filters
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…
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…
On an automorphism of 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…
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…