Torsionfree sheaves over a nodal curve of arithmetic genus one |
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Authors: | Usha N. Bhosle Indranil Biswas |
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Affiliation: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400 005, India |
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Abstract: | We classify all isomorphism classes of stable torsionfree sheaves on an irreducible nodal curve of arithmetic genus one defined over ℂ. Let X be a nodal curve of arithmetic genus one defined over ℝ, with exactly one node, such that X does not have any real points apart from the node. We classify all isomorphism classes of stable real algebraic torsionfree sheaves over X of even rank. We also classify all isomorphism classes of real algebraic torsionfree sheaves over X of rank one. |
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Keywords: | Torsionfree sheaves nodal curve stability |
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