6 citations · 8 across the 8 of their papers we have counts for
9 papers
Close connectedness of the moduli stack of reduced curves
Sebastian Bozlee
We prove that the moduli stack of all reduced -pointed curves is ``closely connected'' in characteristic zero, in the sense that each irreducible component of the stack intersec…
Connectedness of the moduli space of all reduced curves
Sebastian Bozlee
Using moduli of equinormalized curves and Ishii's theory of territories, we prove that the moduli stack of all reduced n-pointed algebraic curves of fixed arithmetic genus is conne…
Hyperelliptic Gorenstein curves and logarithmic differentials
Luca Battistella, Sebastian Bozlee
We produce a flexible tool for contracting subcurves of logarithmic hyperelliptic curves, which is local around the subcurve and commutes with arbitrary base-change. As an applicat…
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…
On compactifications of with colliding markings
Vance Blankers, Sebastian Bozlee
In this paper, we study all ways of constructing modular compactifications of the moduli space of -pointed smooth algebraic curves of genus by allowing m…
The Scheme of Monogenic Generators II: Local Monogenicity and Twists
Sarah Arpin, Sebastian Bozlee, Leo Herr +1
This is the sequel paper to arXiv:2108.07185, continuing a study of monogenicity of number rings from a moduli-theoretic perspective. By the results of the first paper in this seri…
The Scheme of Monogenic Generators I: Representability
Sarah Arpin, Sebastian Bozlee, Leo Herr +1
This is the first in a series of two papers that study monogenicity of number rings from a moduli-theoretic perspective. Given an extension of algebras , when is generated…
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves
Sebastian Bozlee, Bob Kuo, Adrian Neff
We classify the Deligne-Mumford stacks M compactifying the moduli space of smooth -pointed curves of genus one under the condition that the points of M represent Gorenstein curv…
Contractions of subcurves of families of log curves
Sebastian Bozlee
Let be a nodal curve, and let be a union of semistable subcurves of . We consider the problem of contracting the connected components of to singularities in a way th…