Bhosle, Usha N. ; Biswas, Indranil (2013) Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve Communications in Algebra, 41 (2). pp. 574-582. ISSN 0092-7872
Full text not available from this repository.
Official URL: http://www.tandfonline.com/doi/abs/10.1080/0092787...
Related URL: http://dx.doi.org/10.1080/00927872.2011.613877
Abstract
Let Y be a geometrically irreducible reduced projective curve defined over ℝ. Let U Y(n, d) (respectively, U’Y(n,d) be the moduli space of geometrically stable torsionfree sheaves (respectively, locally free sheaves) on Y of rank n and degree d. Define χ = d + n(1 − genus(Y)), where genus(Y) is the arithmetic genus. If 2n is coprime to χ, then there is a Poincaré sheaf over U Y(n, d) × Y. If 2n is not coprime to χ, then there is no Poincaré sheaf over any nonempty open subset of U’ Y(n, d).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Group. |
| Keywords: | Descent Condition; Poincaré Sheaf; Real Curve; Stable Sheaf |
| ID Code: | 112205 |
| Deposited On: | 23 Jan 2018 12:10 |
| Last Modified: | 23 Jan 2018 12:10 |
Repository Staff Only: item control page
