Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve

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

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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

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