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Equations of tropical varieties
Autores:
Jeffrey Giansiracusa, Noah Giansiracusa
Localización:
Duke Mathematical Journal
,
ISSN
0012-7094,
Vol. 165, Nº. 18, 2016
,
págs.
3379-3433
Idioma:
inglés
DOI
:
10.1215/00127094-3645544
Texto completo no disponible
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Referencias bibliográficas
D. Abramovich, L. Caporaso, and S. Payne, The tropicalization of the moduli space of curves, Ann. Sci. Éc. Norm. Supér. (4) 48 (2015), 765–809.
D. Abramovich, Q. Chen, S. Marcus, and J. Wise, Boundedness of the space of stable logarithmic maps, to appear in J. Eur. Math. Soc. (JEMS),...
D. Abramovich and J. Wise, Invariance in logarithmic Gromov-Witten theory, preprint, arXiv:1306.1222v2 [math.AG].
D. Alessandrini and M. Mesi, On the tropicalization of the Hilbert scheme, Collect. Math. 64 (2013), 39–59.
F. Ardila and F. Block, Universal polynomials for Severi degrees of toric surfaces, Adv. Math. 237 (2013), 165–193.
M. Baker, Specialization of linear systems from curves to graphs, with an appendix by B. Conrad, Algebraic Number Theory 2 (2008), 613–653.
S. D. Banerjee, Tropical geometry over higher dimensional local fields, J. Reine Angew. Math. 698 (2015), 71–87.
V. G. Berkovich, Spectral Theory and Analytic Geometry over Non-Archimedean Fields, Math. Surveys Monogr. 33, Amer. Math. Soc., Providence,...
L. Caporaso and F. Viviani, Torelli theorem for graphs and tropical curves, Duke Math. J. 153 (2010), 129–171.
A. Connes and C. Consani, Schemes over $\mathbb{F}_1$ and zeta functions, Compos. Math. 146 (2010), 1383–1415.
F. Cools, J. Draisma, S. Payne, and E. Robeva, A tropical proof of the Brill-Noether theorem, Adv. Math. 230 (2012), 759–776.
D. A. Cox, The homogeneous coordinate ring of a toric variety, J. Algebraic Geom. 4 (1995), 17–50.
A. Deitmar, $\mathbb{F}_1$-schemes and toric varieties, Beitr. Algebra Geom. 49 (2008), 517–525.
A. Dickenstein, E. M. Feichtner, and B. Sturmfels, Tropical discriminants, J. Amer. Math. Soc. 20 (2007), 1111–1133.
N. Durov, New approach to Arakelov geometry, preprint, arXiv:0704.2030v1 [math.AG].
A. Fink, J. Giansiracusa, and N. Giansiracusa, Tropical hypersurfaces and valuated matroids, in preparation.
J. Flores and C. Weibel, Picard groups and class groups of monoid schemes, J. Algebra 415 (2014), 247–263.
S. Fomin and G. Mikhalkin, Labeled floor diagrams for plane curves, J. Eur. Math. Soc. (JEMS) 12 (2010), 1453–1496.
S. Fomin and A. Zelevinsky, Cluster algebras, I. Foundations, J. Amer. Math. Soc. 15 (2002), 497–529.
B. Frenk, Tropical varieties, maps and gossip, Ph.D. dissertation, Eindhoven University of Technology, Eindhoven, Netherlands, 2013.
A. Gathmann and H. Markwig, Kontsevich’s formula and the WDVV equations in tropical geometry, Adv. Math. 217 (2008), 537–560.
A. G. Gerasimov and D. R. Lebedev, Representation theory over tropical semifield and Langlands duality, Comm. Math. Phys. 320 (2013), 301–346.
J. Giansiracusa and N. Giansiracusa, The universal tropicalization and the Berkovich analytification, preprint, arXiv:1410.4348v2 [math.AG].
A. Gibney and D. Maclagan, Lower and upper bounds for nef cones, Int. Math. Res. Not. IMRN 2012, no. 14, 3224–3255.
J. S. Golan, Semirings and Their Applications, Kluwer, Dordrecht, 1999.
M. Gross, Mirror symmetry for $\mathbb{P}^2$ and tropical geometry, Adv. Math. 224 (2010), 169–245.
M. Gross, Tropical Geometry and Mirror Symmetry, CBMS Reg. Conf. Ser. Math. 114, Amer. Math. Soc., Providence, 2011.
M. Gross, R. Pandharipande, and B. Siebert, The tropical vertex, Duke Math. J. 153 (2010), 297–362.
W. Gubler, The Bogomolov conjecture for totally degenerate abelian varieties, Invent. Math. 169 (2007), 377–400.
P. Hacking, S. Keel, and J. Tevelev, Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces, Invent....
R. Hartshorne, Algebraic Geometry, Grad. Texts in Math. 52, Springer, New York, 1977.
U. Hebisch and H. J. Weinert, Semirings: Algebraic Theory and Applications in Computer Science, Ser. Algebra 5, World Scientific, River Edge,...
R. Huber, Étale cohomology of rigid analytic varieties and adic spaces, Aspects Math. E30, Vieweg, Braunschweig, 1996.
T. Kajiwara, Tropical toric geometry, in Toric Topology, Contemp. Math. 460, Amer. Math. Soc., Providence, 2008, 197–207.
K. Kato, Logarithmic structures of Fontaine-Illusie, in Algebraic Analysis, Geometry, and Number Theory (Baltimore, 1988), Johns Hopkins Univ....
E. Katz, A tropical toolkit, Expo. Math. 27 (2009), 1–36.
J. López Peña and O. Lorscheid, Mapping $\mathbb{F}_1$-land: An overview of geometries over the field with one element, in Noncommutative...
O. Lorscheid, The geometry of blueprints, I: Algebraic background and scheme theory, Adv. Math. 229 (2012), 1804–1846.
D. Maclagan and F. Rincon, Tropical schemes, tropical cycles, and valuated matroids, preprint, arXiv:1401.4654v1 [math.AG].
D. Maclagan, Tropical ideals, in preparation.
D. Maclagan and B. Sturmfels, Introduction to Tropical Geometry, Grad. Stud. Math. 161, Amer. Math. Soc., Providence, 2015.
A. Macpherson, Skeleta in non-Archimedean and tropical geometry, preprint, arXiv:1311.0502v2 [math.AG].
C. Manon, Dissimilarity maps on trees and the representation theory of $SL_m(\mathbb{C})$, J. Algebraic Combin. 33 (2011), 199–213.
G. Mikhalkin, Enumerative tropical algebraic geometry in $\mathbb{R}^2$, J. Amer. Math. Soc. 18 (2005), 313–377.
G. Mikhalkin, Tropical geometry and its applications, in International Congress of Mathematicians, II, Eur. Math. Soc., Zürich, 2006, 827–852.
G. Mikhalkin and I. Zharkov, Tropical curves, their Jacobians and theta functions, in Curves and Abelian Varieties, Contemp. Math. 465, Amer....
M. C. Olsson, Logarithmic geometry and algebraic stacks, Ann. Sci. Éc. Norm. Supér. (4) 36 (2003), 747–791.
B. Osserman and S. Payne, Lifting tropical intersections, Doc. Math. 18 (2013), 121–175.
L. Pachter and B. Sturmfels, Tropical geometry of statistical models, Proc. Natl. Acad. Sci. USA 101 (2004), 16132–16137.
S. Payne, Analytification is the limit of all tropicalizations, Math. Res. Lett. 16 (2009), 543–556.
Q. Ren, S. V. Sam, and B. Sturmfels, Tropicalization of classical moduli spaces, Math. Comput. Sci. 8 (2014), 119–145.
J. Richter-Gebert, B. Sturmfels, and T. Theobald, “First steps in tropical geometry” in Idempotent Mathematics and Mathematical Physics, Contemp....
D. Speyer, Tropical linear spaces, SIAM J. Discrete Math. 22 (2008), 1527–1558.
D. Speyer and B. Sturmfels, The tropical Grassmannian, Adv. Geom. 4 (2004), 389–411.
J. Tevelev, Compactifications of subvarieties of tori, Amer. J. Math. 129 (2007), 1087–1104.
B. Toën and M. Vaquié, Au-dessous de Spec $\mathbb{Z}$, J. K-Theory 3 (2009), 437–500.
M. Ulirsch, Functorial tropicalization of logarithmic schemes: The case of constant coefficients, preprint, arXiv:1310.6269v2 [math.AG].
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