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On the operad structure of admissible G-covers
Algebraic Geometry structure of admissible G-covers
2012/5/25
We describe the modular operad structure on the moduli spaces of pointed stable curves equipped with an admissible $G$-cover. To do this we are forced to introduce the notion of an operad colored not ...
The Local Structure of Compactified Jacobians: Deformation Theory
Compactified Jacobian compactified Picard scheme nodal curve torsion-free sheaf
2011/9/16
Abstract: This paper studies the local geometry of compactified Jacobians constructed by Caporaso, Oda-Seshadri, Pandharipande, and Simpson. The main result is a presentation of the completed local ri...
A geometric interpretation of the triangulated structure of m-cluster categories
m-cluster categories triangulated structure Auslander-Reiten triangles orbit categories Auslander Reiten quivers
2011/8/25
Abstract: The aim of this note is to answer several open problems arising from the geometric description of the $m$-cluster categories of type $A_n$ and their realization in terms of the $m$-th power ...