35 citations · 153 across the 14 of their papers we have counts for
14 papers
A stratification of moduli of arbitrarily singular curves
Sebastian Bozlee, Christopher Guevara, David Smyth
We introduce a new moduli stack of "equinormalized curves," closely related to the moduli space of all reduced, connected algebraic curves. We construct a strat…
Intersections of psi-classes on moduli spaces of m-stable curves
David Ishii Smyth
We explain how to compute top-dimensional intersections of psi-classes on moduli spaces of m-stable curves. On the moduli spaces of Deligne-Mumford stable pointed curves of genus o…
Log minimal model program for the moduli space of stable curves: The second flip
Jarod Alper, Maksym Fedorchuk, David Ishii Smyth +1
We prove an existence theorem for good moduli spaces, and use it to construct the second flip in the log minimal model program for the moduli space of stable curves. In fact, our m…
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…
Existence of good moduli spaces for A_k-stable curves
Jarod Alper, David Ishii Smyth
We prove a general criterion for an algebraic stack to admit a good moduli space. This result may be considered as a weak analog of the Keel-Mori theorem, which guarantees the exis…
Finite Hilbert stability of canonical curves, II. The even-genus case
Jarod Alper, Maksym Fedorchuk, David Ishii Smyth
This paper is a sequel to arXiv:1109.4986, where we proved that a general smooth curve of odd genus, canonically or bicanonically embedded, has semistable finite Hilbert points. He…