Hyperelliptic classes are rigid and extremal in genus two
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We show that the class of the locus of hyperelliptic curves with $\ell$ marked Weierstrass points, $m$ marked conjugate pairs of points, and $n$ free marked points is rigid and extremal in the cone of effective codimension-($\ell + m$) classes on $\overline{\mathcal{M}}_{2,\ell+2m+n}$. This generalizes work of Chen and Tarasca and establishes an infinite family of rigid and extremal classes in arbitrarily-high codimension. Comment: Published version
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2018 ◽
Vol 372
(1)
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pp. 267-304
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1990 ◽
Vol 21
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pp. 11-50
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2002 ◽
Vol 132
(1)
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pp. 221-238
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2014 ◽
Vol 22
(3)
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pp. 317-321
2008 ◽
Vol 19
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pp. 387-420
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