35 citations · 62 across the 3 of their papers we have counts for
4 papers · 1 filter
Stability of genus five canonical curves
Maksym Fedorchuk, David Ishii Smyth
We analyze GIT stability of nets of quadrics in up to projective equivalence. Since a general net of quadrics defines a canonically embedded smooth curve of genus fi…
Alternate Compactifications of Moduli Spaces of Curves
Maksym Fedorchuk, David Ishii Smyth
We give an informal survey, emphasizing examples and open problems, of two interconnected research programs in moduli of curves: the systematic classification of modular compactifi…
Singularities with G_m-action and the log minimal model program for
Jarod Alper, Maksym Fedorchuk, David Ishii Smyth
We give a precise formulation of the modularity principle for the log canonical models of . Assuming the modularity principle holds, we develop and compare two methods f…
Modular compactifications of M_{1,n}
David Ishii Smyth
We introduce a sequence of isolated curve singularities, the elliptic m-fold points, and an associated sequence of stability conditions, generalizing the usual definition of Delign…