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Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone
| 1. | Instytut Matematyki, Pedagogical University of Cracow, Podchorążych 2, PL-30-084 Kraków, Poland, Poland |
References:
| [1] |
Th. Bauer, M. Funke and S. Neumann, Counting Zariski chambers on Del Pezzo surfaces, J. Algebra, 324 (2010), 92-101.
doi: 10.1016/j.jalgebra.2010.02.037. |
| [2] |
Th. Bauer, A. Küronya and T. Szemberg, Zariski chambers, volumes, and stable base loci, J. Reine Angew. Math., 576 (2004), 209-233.
doi: 10.1515/crll.2004.090. |
| [3] |
K. Kaveh and A. Khovanskii, Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, Ann. of Math. (2), 176 (2012), 925-978.
doi: 10.4007/annals.2012.176.2.5. |
| [4] |
A. Küronya, V. Lozovanu and C. Maclean, Convex bodies appearing as Okounkov bodies of divisors, Adv. Math., 229 (2012), 2622-2639.
doi: 10.1016/j.aim.2012.01.013. |
| [5] |
Yu. Manin, Cubic Forms. Algebra, Geometry, Arithmetic, North-Holland Mathematical Library, Vol. 4, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., New York, 1974. |
| [6] |
M. Mustaţă and R. Lazarsfeld, Convex bodies associated to linear series, Ann. Sci. Éc. Norm. Supér. (4), 42 (2009), 783-835. |
| [7] |
P. Łuszcz-Świdecka, On Minkowski Decompositions of Okounkov bodies on a Del Pezzo surface, Ann. Univ. Paedagog. Crac. Stud. Math., 10 (2011), 105-115. |
| [8] |
P. Łuszcz-Świdecka and D. Schmitz, Minkowski decomposition of Okounkov bodies on surfaces, J. Algebra, 414 (2014), 159-174.
doi: 10.1016/j.jalgebra.2014.05.024. |
| [9] |
M. Nakamaye, Stable base loci of linear series, Math. Ann., 318 (2000), 837-847.
doi: 10.1007/s002080000149. |
| [10] |
P. Pokora, D. Schmitz and S. Urbinati, Minkowski decomposition and generators of the moving cone for toric varieties, arXiv:1310.8505. |
show all references
References:
| [1] |
Th. Bauer, M. Funke and S. Neumann, Counting Zariski chambers on Del Pezzo surfaces, J. Algebra, 324 (2010), 92-101.
doi: 10.1016/j.jalgebra.2010.02.037. |
| [2] |
Th. Bauer, A. Küronya and T. Szemberg, Zariski chambers, volumes, and stable base loci, J. Reine Angew. Math., 576 (2004), 209-233.
doi: 10.1515/crll.2004.090. |
| [3] |
K. Kaveh and A. Khovanskii, Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, Ann. of Math. (2), 176 (2012), 925-978.
doi: 10.4007/annals.2012.176.2.5. |
| [4] |
A. Küronya, V. Lozovanu and C. Maclean, Convex bodies appearing as Okounkov bodies of divisors, Adv. Math., 229 (2012), 2622-2639.
doi: 10.1016/j.aim.2012.01.013. |
| [5] |
Yu. Manin, Cubic Forms. Algebra, Geometry, Arithmetic, North-Holland Mathematical Library, Vol. 4, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., New York, 1974. |
| [6] |
M. Mustaţă and R. Lazarsfeld, Convex bodies associated to linear series, Ann. Sci. Éc. Norm. Supér. (4), 42 (2009), 783-835. |
| [7] |
P. Łuszcz-Świdecka, On Minkowski Decompositions of Okounkov bodies on a Del Pezzo surface, Ann. Univ. Paedagog. Crac. Stud. Math., 10 (2011), 105-115. |
| [8] |
P. Łuszcz-Świdecka and D. Schmitz, Minkowski decomposition of Okounkov bodies on surfaces, J. Algebra, 414 (2014), 159-174.
doi: 10.1016/j.jalgebra.2014.05.024. |
| [9] |
M. Nakamaye, Stable base loci of linear series, Math. Ann., 318 (2000), 837-847.
doi: 10.1007/s002080000149. |
| [10] |
P. Pokora, D. Schmitz and S. Urbinati, Minkowski decomposition and generators of the moving cone for toric varieties, arXiv:1310.8505. |
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