M. Boggi

activity

20022025

most citedFundamental groups of moduli stacks of stable curves of compact type

9 citations · 20 across the 21 of their papers we have counts for

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10 papers · 1 filter

math.AG2018★ 2 cited

Curves with prescribed symmetry and associated representations of mapping class groups

Marco Boggi, Eduard Looijenga

Let C be a complex smooth projective algebraic curve endowed with an action of a finite group G such that the quotient curve has genus at least 3. We prove that if the G-curve C is…

math.AG2017

Deforming a canonical curve inside a quadric

Marco Boggi, Eduard Looijenga

Let $C \subset P^{g - 1}$ be a canonically embedded nonsingular nonhyperelliptic curve of genus $g$ and let $X \subset P^{g - 1}$ be a quadric containing $C$ . Our main…

math.AG2011

Galois coverings of moduli spaces of curves and loci of curves with symmetry

Marco Boggi

Let $\ccM_{g,[n]}$, for $2 g - 2 + n > 0$ , be the stack of genus $g$ , stable algebraic curves, endowed with $n$ unordered marked points. Looijenga introduced the notion of Prym level stru…

math.AG2009

On the procongruence completion of the Teichmüller modular group

Marco Boggi

For $2 g - 2 + n > 0$ , the Teichmüller modular group $Γ_{g, n}$ of a compact Riemann surface of genus $g$ with $n$ points removed $S_{g, n}$ is the group of homotopy classes of diffeomorphi…

math.AG2008

The congruence subgroup property for the hyperelliptic modular group: the open surface case

Marco Boggi

Let $M_{g, n}$ and $H_{g, n}$ , for $2 g - 2 + n > 0$ , be, respectively, the moduli stack of $n$ -pointed, genus $g$ smooth curves and its closed substack consisting of hyperell…

math.AG2007★ 4 cited

Profinite complexes of curves, their automorphisms and anabelian properties of moduli stacks of curves

M. Boggi, P. Lochak

Let $M_{g, [n]}$ , for $2 g - 2 + n > 0$ , be the D-M moduli stack of smooth curves of genus $g$ labeled by $n$ unordered distinct points. The main result of the paper is that a finit…