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- Veech_surface abstract "In mathematics, a Veech surface is a translation surface (X,ω) (a Riemann surface X with a holomorphic 1-form ω) whose group SL(X,ω) of affine diffeomorphisms is a lattice in SL2(R) (a discrete subgroup of cofinite volume). The image of SL(X,ω) in PSL2(R) is called the Veech group. The Veech dichotomy says that geodesic flow on a Veech surface is either periodic or ergodic.The group SL2(R) acts on the set of translation surfaces as follows. A translation surface has coordinate maps to the complex numbers, which can be identified with R2 and is therefore acted on by SL2(R). Composing the coordinate charts of a surface with an action of this group gives a new set of coordinate charts for a new translation surface. The group SL(X,ω) is the subgroup of SL2(R) fixing the translation surface (X,ω).".
- Veech_surface wikiPageExternalLink BF01388890.
- Veech_surface wikiPageExternalLink S1874-575X(06)80032-9.
- Veech_surface wikiPageExternalLink hs-intVchGps.pdf.
- Veech_surface wikiPageID "33418686".
- Veech_surface wikiPageRevisionID "566572271".
- Veech_surface hasPhotoCollection Veech_surface.
- Veech_surface subject Category:Dynamical_systems.
- Veech_surface subject Category:Surfaces.
- Veech_surface type Artifact100021939.
- Veech_surface type Object100002684.
- Veech_surface type PhysicalEntity100001930.
- Veech_surface type Surface104362025.
- Veech_surface type Surfaces.
- Veech_surface type Whole100003553.
- Veech_surface comment "In mathematics, a Veech surface is a translation surface (X,ω) (a Riemann surface X with a holomorphic 1-form ω) whose group SL(X,ω) of affine diffeomorphisms is a lattice in SL2(R) (a discrete subgroup of cofinite volume). The image of SL(X,ω) in PSL2(R) is called the Veech group. The Veech dichotomy says that geodesic flow on a Veech surface is either periodic or ergodic.The group SL2(R) acts on the set of translation surfaces as follows.".
- Veech_surface label "Veech surface".
- Veech_surface sameAs m.0h964l2.
- Veech_surface sameAs Q7918050.
- Veech_surface sameAs Q7918050.
- Veech_surface sameAs Veech_surface.
- Veech_surface wasDerivedFrom Veech_surface?oldid=566572271.
- Veech_surface isPrimaryTopicOf Veech_surface.