Remarks on the stack of coherent algebras
Abstract
We consider the stack of coherent algebras with proper support, a moduli problem generalizing Alexeev and Knutson's stack of branchvarieties to the case of an Artin stack. The main results are proofs of the existence of Quot and Hom spaces in greater generality than is currently known and several applications to Alexeev and Knutson's original construction: a proof that the stack of branchvarieties is always algebraic, that limits of onedimensional families always exist, and that the connected components of the stack of branchvarieties are proper over the base under certain hypotheses on the ambient stack.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2006
 arXiv:
 arXiv:math/0603034
 Bibcode:
 2006math......3034L
 Keywords:

 Mathematics  Algebraic Geometry;
 14D20
 EPrint:
 9 pages