Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Mullane, Scott"'
In this paper we study Weil-Petersson volumes of the moduli spaces of conical hyperbolic surfaces. The moduli spaces are parametrised by their cone angles which naturally live inside Hassett's space of stability conditions on nodal curves. Such stabi
Externí odkaz:
http://arxiv.org/abs/2310.13281
Autor:
Möller, Martin, Mullane, Scott
We provide a complete classification of Teichm\"uller curves occurring in hyperelliptic components of the meromorphic strata of differentials. Using a non-existence criterion based on how Teichm\"uller curves intersect the boundary of the moduli spac
Externí odkaz:
http://arxiv.org/abs/2305.03309
Autor:
Bakker, Benjamin, Mullane, Scott
A flat vector bundle on an algebraic variety supports two natural definable structures given by the flat and algebraic coordinates. In this note we show these two structures coincide, subject to a condition on the local monodromy at infinity which is
Externí odkaz:
http://arxiv.org/abs/2201.02144
Autor:
Barros, Ignacio, Mullane, Scott
We study the birational geometry of the moduli spaces of hyperelliptic curves with marked points. We show that these moduli spaces have non $\mathbb{Q}$-factorial singularities. We complete the Kodaira classification by proving that these spaces have
Externí odkaz:
http://arxiv.org/abs/2106.13774
Autor:
Farkas, Gavril, Mullane, Scott
Publikováno v:
Math. Zeitschrift 300 (2022), 3417-3432
We show that the canonical bundle of the Hurwitz stack classifying covers of genus g>1 and degree k>2 of the projective line is big. We show that all coarse moduli spaces of trigonal curves of genus g>1 are of general type.
Comment: 16 pages. Fi
Comment: 16 pages. Fi
Externí odkaz:
http://arxiv.org/abs/2101.12264
Autor:
Mullane, Scott
We show the simple Hurwitz space $\mathcal{H}_{g,d}$ has trivial rational Picard group for $d>g-1$ and is uniruled for $d>g+1$.
Comment: 17 pages, 4 figures. Updated to the version to be published
Comment: 17 pages, 4 figures. Updated to the version to be published
Externí odkaz:
http://arxiv.org/abs/2009.10063
Autor:
Mullane, Scott
We show that the pseudoeffective cone of divisors $\overline{\text{Eff}}^1(\overline{\mathcal{M}}_{g,n})$ for $g\geq 2$ and $n\geq 2$ is not polyhedral by showing that the class of the fibre of the morphism forgetting one point forms an extremal ray
Externí odkaz:
http://arxiv.org/abs/2001.08204
Autor:
Mullane, Scott
We consider two applications of the strata of differentials of the second kind (all residues equal to zero) with fixed multiplicities of zeros and poles: Positivity: In genus $g=0$ we show any associated divisorial projection to $\overline{\mathcal{M
Externí odkaz:
http://arxiv.org/abs/1910.07504
Autor:
Mullane, Scott
For $g\geq2$, $j=1,\dots,g$ and $n\geq g+j$ we exhibit infinitely many new rigid and extremal effective codimension $j$ cycles in $\overline{\mathcal{M}}_{g,n}$ from the strata of quadratic differentials and projections of these strata under forgetfu
Externí odkaz:
http://arxiv.org/abs/1905.03241