M ar 2 00 6 REMARKS ON THE STACK OF BRANCHVARIETIES
نویسنده
چکیده
We consider the natural generalization of Alexeev and Knutson's stack of branchvarieties to the case of a Deligne-Mumford stack. The main results are a proof that the stack of branchvarieties is always algebraic, that limits of one-dimensional 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.
منابع مشابه
m at h . A G ] 2 0 Ju n 20 06 REMARKS ON THE STACK OF COHERENT ALGEBRAS
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 branchvariet...
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