A nonboundary nef divisor on M0,12

Pixton, Aaron¹

¹ Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544, USA

Geometry & topology, Tome 17 (2013) no. 3, pp. 1317-1324.

Résumé

We describe a nef divisor $D_{\mathcal{P}}$ on ${\overline{M}}_{0,12}$ that is not numerically equivalent to an effective sum of boundary divisors.

Détail

DOI : 10.2140/gt.2013.17.1317

Classification : 14H10
Keywords: moduli of curves, nef cone

Bibliographie

[1] V Alexeev, D Swinarski, Nef divisors on M0,n from GIT (2011)

[2] A M Castravet, J Tevelev, Hypertrees, projections, and moduli of stable rational curves, J. Reine Angew. Math. 2013 (2013) 121

[3] N Fakhruddin, Chern classes of conformal blocks, from: "Compact moduli spaces and vector bundles" (editors V Alexeev, A Gibney, E Izadi, J Kollár, E Looijenga), Contemp. Math. 564, Amer. Math. Soc. (2012) 145

[4] A Gibney, Numerical criteria for divisors on Mg to be ample, Compos. Math. 145 (2009) 1227

[5] A Gibney, S Keel, I Morrison, Towards the ample cone of Mg,n, J. Amer. Math. Soc. 15 (2002) 273

[6] M M Kapranov, Chow quotients of Grassmannians, I, from: "I M Gel’fand seminar" (editors S Gelfand, S Gindikin), Adv. Soviet Math. 16, Amer. Math. Soc. (1993) 29

[7] S Keel, J Mckernan, Contractible extremal rays on M0,n

[8] P L Larsen, Fulton’s conjecture for M0,7, J. Lond. Math. Soc. 85 (2012) 1

[9] P Vermeire, A counterexample to Fulton’s conjecture on M0,n, J. Algebra 248 (2002) 780