Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Stable twisted curves and their r -spin structures

Alessandro Chiodo — 2008

Annales de l’institut Fourier

The subject of this article is the notion of r -spin structure: a line bundle whose r th power is isomorphic to the canonical bundle. Over the moduli functor M g of smooth genus- g curves, r -spin structures form a finite torsor under the group of r -torsion line bundles. Over the moduli functor M ¯ g of stable curves, r -spin structures form an étale stack, but both the finiteness and the torsor structure are lost. In the present work, we show how this bad picture can be definitely improved just...

A global mirror symmetry framework for the Landau–Ginzburg/Calabi–Yau correspondence

Alessandro ChiodoYongbin Ruan — 2011

Annales de l’institut Fourier

We show how the Landau–Ginzburg/Calabi–Yau correspondence for the quintic three-fold can be cast into a global mirror symmetry framework. Then we draw inspiration from Berglund–Hübsch mirror duality construction to provide an analogue conjectural picture featuring all Calabi–Yau hypersurfaces within weighted projective spaces and certain quotients by finite abelian group actions.

Page 1

Download Results (CSV)