Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Prato, Elisa"'
Autor:
Battaglia, Fiammetta, Prato, Elisa
Publikováno v:
Contemp. Math., 794 (2024), 179-193
We generalize Laurent monomials to toric quasifolds, a special class of highly singular spaces that extend simplicial toric varieties to the nonrational setting.
Comment: 17 pages, 5 figures, 1 table
Comment: 17 pages, 5 figures, 1 table
Externí odkaz:
http://arxiv.org/abs/2212.11104
Autor:
Prato, Elisa
Publikováno v:
Math. Intelligencer, 45 (2022), 133-138
Toric quasifolds are highly singular spaces that were first introduced in order to address, from the symplectic viewpoint, the longstanding open problem of extending the classical constructions of toric geometry to those simple convex polytopes that
Externí odkaz:
http://arxiv.org/abs/2205.00430
Autor:
Battaglia, Fiammetta, Prato, Elisa
Publikováno v:
Riv. Mat. Univ. Parma, 14 (2023), 67-86
First, we examine the notion of nonrational convex polytope and nonrational fan in the context of toric geometry. We then discuss and interrelate some recent developments in the subject.
Comment: Section 1 expanded, references added, 17 pages, 1
Comment: Section 1 expanded, references added, 17 pages, 1
Externí odkaz:
http://arxiv.org/abs/2205.00417
Publikováno v:
J. Noncommut. Geom. 15 (2021), 735-759
After embedding the objects quasifolds into the category {Diffeology}, we associate a C*-agebra with every atlas of any quasifold, and show how different atlases give Morita equivalent algebras. This builds a new bridge between diffeology and noncomm
Externí odkaz:
http://arxiv.org/abs/2005.09283
Autor:
Battaglia, Fiammetta, Prato, Elisa
Publikováno v:
J. Geom. Phys. 135 (2019), 98-105
In this article, we introduce symplectic reduction in the framework of nonrational toric geometry. When we specialize to the rational case, we get symplectic reduction for the action of a general, not necessarily closed, Lie subgroup of the torus.
Externí odkaz:
http://arxiv.org/abs/1806.10431
Publikováno v:
Boll. Unione Mat. Ital. 12 (2019), 293-305
We introduce a family of spaces, parametrized by positive real numbers, that includes all of the Hirzebruch surfaces. Each space is viewed from two distinct perspectives. First, as a leaf space of a compact, complex, foliated manifold, following [BZ1
Externí odkaz:
http://arxiv.org/abs/1804.08503
Autor:
Prato, Elisa
Quasifolds are singular spaces that generalize manifolds and orbifolds. They are locally modeled by manifolds modulo the smooth action of countable groups and they are typically not Hausdorff. If the countable groups happen to be all finite, then qua
Externí odkaz:
http://arxiv.org/abs/1710.07116
Autor:
Battaglia, Fiammetta, Prato, Elisa
In this article, we describe symplectic and complex toric spaces associated to the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rati
Externí odkaz:
http://arxiv.org/abs/1611.10317
Autor:
Prato, Elisa1 (AUTHOR) elisa.prato@unifi.it
Publikováno v:
Mathematical Intelligencer. Jun2023, Vol. 45 Issue 2, p133-138. 6p.
Autor:
Battaglia, Fiammetta, Prato, Elisa
Publikováno v:
Internat. J. Math., Vol. 29, No. 10 (2018) 1850063 (19 pages)
In this article we extend cutting and blowing up to the nonrational symplectic toric setting. This entails the possibility of cutting and blowing up for symplectic toric manifolds and orbifolds in nonrational directions.
Comment: 17 pages, 7 fig
Comment: 17 pages, 7 fig
Externí odkaz:
http://arxiv.org/abs/1606.00610