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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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phd thesis defense
jacob keller
uc san diego
the birational geometry of k-moduli spaces
abstract:
for $c$ a smooth curve and $\xi$ a line bundle on $c$, the moduli space $u_c(2,\xi)$ of semistable vector bundles of rank two and determinant $\xi$ is a fano variety. we show that $u_c(2,\xi)$ is k-stable for a general curve $c \in \overline{m}_g$. as a consequence, there are irreducible components of the moduli space of k-stable fano varieties that are birational to $\overline{m}_g$. in particular these components are of general type for $g\geq 22$.
advisor: james mckernan
may 31, 2024
9:30 am
ap&m 7321
zoom link: https://ucsd.zoom.us/j/
research areas
algebraic geometry****************************
