Extremality of rational tails boundary strata in \(\overline{\mathscr{M}}_{g,n}\). (English) Zbl 1495.14041
In this paper, it is shown that a large family of boundary strata of rational tails type are extremal in their corresponding effective cone. In particular, it is proven that all boundary strata in genus zero are extremal, and based on some evidence, the author conjectures the truth of this statement in any genus. The results of this paper are in parallel with the work of D. Chen and I. Coskun [Proc. Lond. Math. Soc. (3) 111, No. 1, 181–204 (2015; Zbl 1357.14039)].
Reviewer: Hanieh Keneshlou (Leipzig)
MSC:
| 14H10 | Families, moduli of curves (algebraic) |
| 14E30 | Minimal model program (Mori theory, extremal rays) |
| 14H45 | Special algebraic curves and curves of low genus |
Keywords:
moduli of curves; boundary strata; effective cones; extremal classes; higher codimensional cyclesCitations:
Zbl 1357.14039References:
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