Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X∕H], where X is a projective scheme and H is a linear algebraic group with internally graded unipotent radical acting linearly on X, in such a way that each stratum [S∕H] has a geometric quotient S∕H. This leads to stratifications of moduli stacks (for example, sheaves over a projective scheme) such that each stratum has a coarse moduli space.
CITATION STYLE
Bérczi, G., Hoskins, V., & Kirwan, F. (2018). Stratifying quotient stacks and moduli stacks. In Abel Symposia (Vol. 14, pp. 1–33). Springer Heidelberg. https://doi.org/10.1007/978-3-319-94881-2_1
Mendeley helps you to discover research relevant for your work.