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pro vyhledávání: '"Bozlee, Sebastian"'
Autor:
Bozlee, Sebastian
We prove that the moduli space of all reduced n-pointed algebraic curves of fixed arithmetic genus is connected as an application of moduli of equinormalized curves and Ishii's theory of territories.
Comment: 5 pages, comments welcome!
Comment: 5 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2407.07657
We introduce a new moduli stack $\mathscr{E}_{g,n}$ of ``equinormalized curves" which is a minor modification of the moduli space of all reduced, connected curves. We construct a stratification $\bigsqcup_\Gamma \mathscr{E}_\Gamma$ of $\mathscr{E}_{g
Externí odkaz:
http://arxiv.org/abs/2307.10013
Autor:
Battistella, Luca, Bozlee, Sebastian
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 application, we prove that hyperelliptic multiscale differentials determine a
Externí odkaz:
http://arxiv.org/abs/2307.03947
Autor:
Blankers, Vance, Bozlee, Sebastian
In this paper, we study all ways of constructing modular compactifications of the moduli space $\mathcal{M}_{g,n}$ of $n$-pointed smooth algebraic curves of genus $g$ by allowing markings to collide. We find that for any such compactification, collis
Externí odkaz:
http://arxiv.org/abs/2208.09745
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 series, a choice of a generator $\theta$ for an $A$-algebra $B$ is a point
Externí odkaz:
http://arxiv.org/abs/2205.04620
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 $B/A$, when is $B$ generated by a single element $\theta \in B$ over $A$? In this paper, we show t
Externí odkaz:
http://arxiv.org/abs/2108.07185
Publikováno v:
Alg. Number Th. 17 (2023) 127-163
We classify the Deligne-Mumford stacks M compactifying the moduli space of smooth $n$-pointed curves of genus one under the condition that the points of M represent Gorenstein curves with distinct markings. This classification uncovers new moduli spa
Externí odkaz:
http://arxiv.org/abs/2105.10582
Akademický článek
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Autor:
Bozlee, Sebastian
Let $C$ be a nodal curve, and let $E$ be a union of semistable subcurves of $C$. We consider the problem of contracting the connected components of $E$ to singularities in a way that preserves the genus of $C$ and makes sense in families, so that thi
Externí odkaz:
http://arxiv.org/abs/1908.09733
Autor:
Blankers, Vance, Bozlee, Sebastian
Publikováno v:
Selecta Mathematica, New Series; Nov2024, Vol. 30 Issue 5, p1-47, 47p
