When is M0,n(ℙ1,1) a Mori dream space?
-
Claudio Fontanari
Abstract
The moduli space
Funding statement: This research was partially supported by PRIN 2017 “Moduli Theory and Birational Classification" and by GNSAGA of INdAM (Italy).
-
Communicated by: I. Coskun
References
[1] C. Birkar, P. Cascini, C. D. Hacon, J. McKernan, Existence of minimal models for varieties of log general type. J. Amer. Math. Soc. 23 (2010), 405–468. MR2601039 Zbl 1210.14019Search in Google Scholar
[2] A.-M. Castravet, The Cox ring of
[3] A.-M. Castravet, Mori dream spaces and blow-ups. In: Algebraic geometry: Salt Lake City 2015, volume 97 of Proc. Sympos. Pure Math., 143–167, Amer. Math. Soc. 2018. MR3821148Search in Google Scholar
[4] A.-M. Castravet, J. Tevelev,
[5] I. Coskun, J. Harris, J. Starr, The ample cone of the Kontsevich moduli space. Canad. J. Math. 61 (2009), 109–123. MR2488451 Zbl 1206.14050Search in Google Scholar
[6] G. Farkas, The global geometry of the moduli space of curves. In: Algebraic geometry—Seattle 2005. Part 1, volume 80 of Proc. Sympos. Pure Math., 125–147, Amer. Math. Soc. 2009. MR2483934 Zbl 1169.14309Search in Google Scholar
[7] W. Fulton, R. Pandharipande, Notes on stable maps and quantum cohomology. In: Algebraic geometry—Santa Cruz 1995, volume 62 of Proc. Sympos. Pure Math., 45–96, Amer. Math. Soc. 1997. MR1492534 Zbl 0898.14018Search in Google Scholar
[8] A. Gibney, S. Keel, I. Morrison, Towards the ample cone of
[9] J. L. González, K. Karu, Some non-finitely generated Cox rings. Compos. Math. 152 (2016), 984–996. MR3505645 Zbl 1383.14015Search in Google Scholar
[10] B. Hassett, Y. Tschinkel, Integral points and effective cones of moduli spaces of stable maps. Duke Math. J. 120 (2003), 577–599. MR2030096 Zbl 1105.14033Search in Google Scholar
[11] J. Hausen, S. Keicher, A. Laface, On blowing up the weighted projective plane. Math. Z. 290 (2018), 1339–1358. MR3856856 Zbl 1401.14143Search in Google Scholar
[12] S. Keel, J. McKernan, Contractible extremal rays on
[13] A. Massarenti, On the biregular geometry of the Fulton-MacPherson compactification. Adv. Math. 322 (2017), 97–131. MR3720795 Zbl 1386.14105Search in Google Scholar
[14] S. Okawa, Addendum to "On images of Mori dream spaces". Manuscript 2015, www4.math.sci.osaka-u.ac.jp/∼okawa/papers/notes.pdfSearch in Google Scholar
[15] S. Okawa, On images of Mori dream spaces. Math. Ann. 364 (2016), 1315–1342. MR3466868 Zbl 1341.14007Search in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- On vector bundles over reducible curves with a node
- Inscribed rectangle coincidences
- 𝔽p2-maximal curves with many automorphisms are Galois-covered by the Hermitian curve
- Tetrahedral cages for unit discs
- When is M0,n(ℙ1,1) a Mori dream space?
- Rank-one isometries of CAT(0) cube complexes and their centralisers
- Wall-crossing in genus-zero hybrid theory
- The curve Yn = Xℓ(Xm + 1) over finite fields II
- Uniqueness results for bodies of constant width in the hyperbolic plane
- A note on large Kakeya sets
- On static manifolds and related critical spaces with cyclic parallel Ricci tensor
- The motivic Igusa zeta function of a space monomial curve with a plane semigroup
- Real hypersurfaces of non-flat complex space forms with two generalized conditions on the Jacobi structure operator
Articles in the same Issue
- Frontmatter
- On vector bundles over reducible curves with a node
- Inscribed rectangle coincidences
- 𝔽p2-maximal curves with many automorphisms are Galois-covered by the Hermitian curve
- Tetrahedral cages for unit discs
- When is M0,n(ℙ1,1) a Mori dream space?
- Rank-one isometries of CAT(0) cube complexes and their centralisers
- Wall-crossing in genus-zero hybrid theory
- The curve Yn = Xℓ(Xm + 1) over finite fields II
- Uniqueness results for bodies of constant width in the hyperbolic plane
- A note on large Kakeya sets
- On static manifolds and related critical spaces with cyclic parallel Ricci tensor
- The motivic Igusa zeta function of a space monomial curve with a plane semigroup
- Real hypersurfaces of non-flat complex space forms with two generalized conditions on the Jacobi structure operator