Projective bundles over small covers and the bundle triviality problem
نویسندگان
چکیده
منابع مشابه
Small Covers over Prisms
In this paper we calculate the number of equivariant diffeomorphism classes of small covers over a prism.
متن کاملHomogeneous projective bundles over abelian varieties
We consider those projective bundles (or Brauer-Severi varieties) over an abelian variety that are homogeneous, i.e., invariant under translation. We describe the structure of these bundles in terms of projective representations of commutative group schemes; the irreducible bundles correspond to Heisenberg groups and their standard representations. Our results extend those of Mukai on semi-homo...
متن کاملBundles over Quantum RealWeighted Projective Spaces
The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed. As the spaces in question fall into two separate classes, the negative or odd class that generalises quantum real projective planes and the positive or even class that genera...
متن کاملThe Number of Small Covers over Cubes
In the present paper we find a bijection between the set of small covers over an n-cube and the set of acyclic digraphs with n labeled nodes. Using this, we give a formula of the number of small covers over an n-cube (generally, a product of simplices) up to Davis-Januszkiewicz equivalence classes and Zn2 -equivariant diffeomorphism classes. Moreover we prove that the number of acyclic digraphs...
متن کاملA Remark on the Jet Bundles over the Projective Line
Let X be a Riemann surface equipped with a projective structure (i.e., a covering by coordinate charts such that the transition functions are of the form z 7−→ (az + b)/(cz + d)). Let L be a line bundle on X such that L = TX . Let J (L) −→ X denote the jet bundle of order m for the line bundle L. For i ≥ j, there is a natural restriction homomorphism from J (L) onto J (L). We prove that for any...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2016
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2015-0007