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SUMMARY:Yuchen Liu (Yale)
DTSTART;VALUE=DATE-TIME:20200529T174500Z
DTEND;VALUE=DATE-TIME:20200529T184500Z
DTSTAMP;VALUE=DATE-TIME:20210228T192508Z
UID:agstanford/13
DESCRIPTION:Title: Moduli spaces of quartic hyperelliptic K3 surfaces via K-stability
\nby Yuchen Liu (Yale) as part of Stanford algebraic geometry seminar\n\n\
nAbstract\nA general polarized hyperelliptic K3 surfaces of degree 4 is a
double cover of $\\mathbf{P\n}^ 1 \\times \\mathbf{P}^1$ branched along a
bidegree $(4\,4)$ curve. Classically there are two compactifications of th
eir moduli spaces: one is the GIT quotient of $(4\,4)$ curves\, the other
is the Baily-Borel compactification of their periods. We show that K-stabi
lity provides a natural modular interpolation between these two compactifi
cations. This provides a new aspect toward a recent result of Laza-O'Grady
. Based on joint work in progress with K. Ascher and K. DeVleming.\n\nThe
discussion for Yuchen Liuâ€™s talk is taking place not in zoom-chat\, but
at https://tinyurl.com/2020-05-29-yl (and will be deleted after 3-7 days).
\n
LOCATION:https://researchseminars.org/talk/agstanford/13/
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