Displaying similar documents to “Labeled Rauzy classes and framed translation surfaces”

Moduli stacks of polarized K3 surfaces in mixed characteristic

Rizov, Jordan (2006)

Serdica Mathematical Journal

Similarity:

2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...

Navigating moduli space with complex twists

Curtis McMullen (2013)

Journal of the European Mathematical Society

Similarity:

We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.

Khinchin type condition for translation surfaces and asymptotic laws for the Teichmüller flow

Luca Marchese (2012)

Bulletin de la Société Mathématique de France

Similarity:

We study a diophantine property for translation surfaces, defined in terms of saddle connections and inspired by classical Khinchin condition. We prove that the same dichotomy holds as in Khinchin theorem, then we deduce a sharp estimate on how fast the typical Teichmüller geodesic wanders towards infinity in the moduli space of translation surfaces. Finally we prove some stronger result in genus one.

On moduli spaces of semistable sheaves on Enriques surfaces

Marcin Hauzer (2010)

Annales Polonici Mathematici

Similarity:

We describe some one-dimensional moduli spaces of rank 2 Gieseker semistable sheaves on an Enriques surface improving earlier results of H. Kim. In the case of a nodal Enriques surface the moduli spaces obtained are reducible for general polarizations. For unnodal Enriques surfaces we show how to reduce the study of moduli spaces of high even rank Gieseker semistable sheaves to low ranks. To prove this we use the method of K. Yoshioka who showed that in the odd rank case, one can reduce...

On the strange duality conjecture for abelian surfaces

Alina Marian, Dragos Oprea (2014)

Journal of the European Mathematical Society

Similarity:

We study Le Potier's strange duality conjecture for moduli spaces of sheaves over generic abelian surfaces. We prove the isomorphism for abelian surfaces which are products of elliptic curves, when the moduli spaces consist of sheaves of equal ranks and ber degree 1. The birational type of the moduli space of sheaves is also investigated. Generalizations to arbitrary product elliptic surfaces are given.