is not a Mori dream space
AM Castravet, J Tevelev - 2015 - projecteuclid.org
M0,n is not a Mori dream space Page 1 M0;n IS NOT A MORI DREAM SPACE ANA-MARIA
CASTRAVET and JENIA TEVELEV Abstract Building on the work of Goto, Nishida, and …
CASTRAVET and JENIA TEVELEV Abstract Building on the work of Goto, Nishida, and …
Blown-up toric surfaces with non-polyhedral effective cone
We construct projective toric surfaces whose blow-up at a general point has a non-
polyhedral pseudo-effective cone. As a consequence, we prove that the pseudo-effective …
polyhedral pseudo-effective cone. As a consequence, we prove that the pseudo-effective …
Derived category of moduli of pointed curves--II
AM Castravet, J Tevelev - arXiv preprint arXiv:2002.02889, 2020 - arxiv.org
We show that the moduli space of stable rational curves with $ n $ marked points has a full
exceptional collection equivariant under the action of the symmetric group $ S_n …
exceptional collection equivariant under the action of the symmetric group $ S_n …
On the cone of effective 2-cycles on
L Schaffler - European Journal of Mathematics, 2015 - Springer
Fulton's question about effective k-cycles on for 1< k< n-4 1< k< n-4 can be answered
negatively by appropriately lifting to the Keel–Vermeire divisors on. In this paper we focus on …
negatively by appropriately lifting to the Keel–Vermeire divisors on. In this paper we focus on …
Effective curves on from group actions
HB Moon, D Swinarski - Manuscripta Mathematica, 2015 - Springer
We study new effective curve classes on the moduli space of stable pointed rational curves
given by the fixed loci of subgroups of the permutation group action. We compute their …
given by the fixed loci of subgroups of the permutation group action. We compute their …
Collections exceptionnelles sur certains espaces de Hassett
AM Castravet, J Tevelev - Épijournal de Géométrie Algébrique, 2021 - hal.science
We construct an S2× Sn invariant full exceptional collection on Hassett spaces of weighted
stable rational curves with n+ 2 markings and weights (12+ η, 12+ η, n1,..., n1), for 0< η 1 …
stable rational curves with n+ 2 markings and weights (12+ η, 12+ η, n1,..., n1), for 0< η 1 …
Effective curves on from group actions
HB Moon, D Swinarski - arXiv preprint arXiv:1406.2196, 2014 - arxiv.org
We study new effective curve classes on the moduli space of stable pointed rational curves
given by the fixed loci of subgroups of the permutation group action. We compute their …
given by the fixed loci of subgroups of the permutation group action. We compute their …
Exceptional collections on certain Hassett spaces
AM Castravet, J Tevelev - Épijournal de Géométrie …, 2021 - epiga.episciences.org
We construct an S_2*S_n invariant full exceptional collection on Hassett spaces of weighted
stable rational curves with n+2 markings and weights (12+η,12+η,ϵ,...,ϵ), for 0<ϵ,η\ll1 and …
stable rational curves with n+2 markings and weights (12+η,12+η,ϵ,...,ϵ), for 0<ϵ,η\ll1 and …