On the invariant theory for acyclic gentle algebras
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- by Andrew T. Carroll and Calin Chindris PDF
- Trans. Amer. Math. Soc. 367 (2015), 3481-3508 Request permission
Abstract:
In this paper we show that the fields of rational invariants over the irreducible components of the module varieties for an acyclic gentle algebra are purely transcendental extensions. Along the way, we exhibit for such fields of rational invariants a transcendence basis in terms of Schofield’s determinantal semi-invariants.
We also show that moduli spaces of modules over regular irreducible components are just products of projective spaces.
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Additional Information
- Andrew T. Carroll
- Affiliation: Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
- Address at time of publication: Department of Mathematical Sciences, DePaul University, Chicago, Illinois 60614
- Email: carrollat@missouri.edu, acarro15@depaul.edu
- Calin Chindris
- Affiliation: Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
- Email: chindrisc@missouri.edu
- Received by editor(s): October 12, 2012
- Received by editor(s) in revised form: May 10, 2013, and May 18, 2013
- Published electronically: December 22, 2014
- Additional Notes: The second author was supported by NSF grant DMS-1101383
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 3481-3508
- MSC (2010): Primary 16G10, 16G60, 16R30
- DOI: https://doi.org/10.1090/S0002-9947-2014-06191-6
- MathSciNet review: 3314814