#### Filter Results:

- Full text PDF available (6)

#### Publication Year

1956

2013

- This year (0)
- Last 5 years (1)
- Last 10 years (4)

#### Co-author

#### Publication Venue

Learn More

We call complex quasifold of dimension k a space that is locally isomorphic to the quotient of an open subset of the space C k by the holomorphic action of a discrete group; the analogue of a complex torus in this setting is called a complex quasitorus. We associate to each simple polytope, rational or not, a family of complex quasifolds having same… (More)

We construct, for each convex polytope, possibly nonrational and nonsimple, a family of compact spaces that are stratified by quasifolds, i.e. each of these spaces is a collection of quasifolds glued together in an suitable way. A quasifold is a space locally modelled on R k modulo the action of a discrete, possibly infinite, group. The way strata are glued… (More)

We define the notion of complex stratification by quasifolds and show that such spaces occur as complex quotients by certain nonclosed subgroups of tori associated to convex polytopes. To each convex polytope, rational or not, there corresponds a whole family of these spaces, which provide a natural generalization of the notion of toric variety associated… (More)

Nonrational nonsimple convex polytopes can be considered in quasilattices. We prove that the corresponding complex quasitori can be compactified by suitably adding smaller dimensional orbits. The final objects, constructed as complex quotients , are spaces stratified by complex quasifolds that perfectly mimic the features of toric varieties associated to… (More)

In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosa-hedral symmetry. We associate to each Ammann tiling two explicitly constructed highly singular symplectic spaces and we show that they are diffeomorphic but not symplectomor-phic. These… (More)

We construct, for each convex polytope, possibly nonrational and nonsimple, a family of compact spaces that are stratified by quasifolds, i.e. each of these spaces is a collection of quasifolds glued together in an suitable way. A quasifold is a space locally modelled on R k modulo the action of a discrete, possibly infinite, group. The way strata are glued… (More)

- F BATTAGLIA
- Rassegna clinico-scientifica
- 1956

- ‹
- 1
- ›