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 …
Alternate compactifications of moduli spaces of curves
M Fedorchuk, DI Smyth - arXiv preprint arXiv:1012.0329, 2010 - arxiv.org
We give an informal survey, emphasizing examples and open problems, of two
interconnected research programs in moduli of curves: the systematic classification of …
interconnected research programs in moduli of curves: the systematic classification of …
Keel's base point free theorem and quotients in mixed characteristic
J Witaszek - Annals of Mathematics, 2022 - projecteuclid.org
We develop techniques of mimicking the Frobenius action in the study of universal
homeomorphisms in mixed characteristic. As a consequence, we show a mixed …
homeomorphisms in mixed characteristic. As a consequence, we show a mixed …
Square-tiled surfaces and rigid curves on moduli spaces
D Chen - arXiv preprint arXiv:1003.0731, 2010 - arxiv.org
This work is motivated by two central questions in the birational geometry of moduli spaces
of curves--Fulton's conjecture and the effective cone of $\bar M_g $. We study the algebro …
of curves--Fulton's conjecture and the effective cone of $\bar M_g $. We study the algebro …
sln Level 1 Conformal Blocks Divisors on M̄0,n
M Arap, A Gibney, J Stankewicz… - International …, 2012 - ieeexplore.ieee.org
We study a family of semiample divisors on the moduli space ̄\mathcalM_0,n that come
from the theory of conformal blocks for the Lie algebra sl_n and level 1. The divisors we …
from the theory of conformal blocks for the Lie algebra sl_n and level 1. The divisors we …
Higher-level conformal blocks divisors on
V Alexeev, A Gibney, D Swinarski - Proceedings of the Edinburgh …, 2014 - cambridge.org
We study a family of semi-ample divisors on the moduli space of n-pointed genus 0 curves
given by higher-level conformal blocks. We derive formulae for their intersections with a …
given by higher-level conformal blocks. We derive formulae for their intersections with a …
The global geometry of the moduli space of curves
G Farkas - Algebraic geometry—Seattle 2005. Part, 2009 - books.google.com
The global geometry of the moduli space of curves Page 141 Proceedingsof Symposiain Pure
Mathematics Proceedings of Symposia in Pure Mathematics Volume 80.1 , 2009 The global …
Mathematics Proceedings of Symposia in Pure Mathematics Volume 80.1 , 2009 The global …
The ample cone of the Kontsevich moduli space
I Coskun, J Harris, J Starr - Canadian Journal of Mathematics, 2009 - cambridge.org
The Ample Cone of the Kontsevich Moduli Space Page 1 Canad. J. Math. Vol. 61 (1), 2009 pp.
109–123 The Ample Cone of the Kontsevich Moduli Space Izzet Coskun, Joe Harris, and …
109–123 The Ample Cone of the Kontsevich Moduli Space Izzet Coskun, Joe Harris, and …
Extreme Divisors on M‾ 0, 7 and Differences over Characteristic 2
MD Sikirić, E Jovinelly - Michigan Mathematical Journal, 2024 - projecteuclid.org
We find 101,052 new extreme divisors on M0, 7 (in 31 S7-orbits) and millions of extreme nef
curves over characteristic 0. Over characteristic 2, we identify two more S7-orbits of extreme …
curves over characteristic 0. Over characteristic 2, we identify two more S7-orbits of extreme …
NONVANISHING OF CONFORMAL BLOCKS DIVISORS ON
P Belkale, A Gibney, S Mukhopadhyay - Transformation Groups, 2016 - Springer
We introduce and study the problem of finding necessary and sufficient conditions under
which a conformal blocks divisor on M¯ 0, n M _ 0, n is nonzero, solving the problem …
which a conformal blocks divisor on M¯ 0, n M _ 0, n is nonzero, solving the problem …