Biswas, Indranil and Seshadri, Harish (2017) Quot schemes and Ricci semipositivity. In: Comptes Rendus Mathematique, 355 (5). pp. 577-581. ISSN 1631073X
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Official URL: https://doi.org/10.1016/j.crma.2017.03.012
Abstract
Let X be a compact connected Riemann surface of genus at least two, and let QX(r,d) be the quot scheme that parameterizes all the torsion coherent quotients of OX⊕r of degree d. This QX(r,d) is also a moduli space of vortices on X. Its geometric properties have been extensively studied. Here we prove that the anticanonical line bundle of QX(r,d) is not nef. Equivalently, QX(r,d) does not admit any Kähler metric whose Ricci curvature is semipositive.
| Item Type: | Journal Article |
|---|---|
| Publication: | Comptes Rendus Mathematique |
| Publisher: | Elsevier Masson SAS |
| Additional Information: | The Copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 30 May 2022 05:10 |
| Last Modified: | 30 May 2022 05:10 |
| URI: | https://eprints.iisc.ac.in/id/eprint/72829 |
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