Fetching the paper…
Reading the bibliography…
We produce open subsets of the moduli space of metric graphs without separating edges where the dimensions of Brill-Noether loci are larger than the corresponding Brill-Noether numbers.
A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. III , Inst. Hautes Études Sci. Publ. Math. (1966), no. 28, 255
1966
Earlier work this paper cites.
E. Arbarello, M. Cornalba, P. A. Griffiths, and J. Harris, Geometry of algebraic curves. Vol. I , Grundlehren der Mathematischen Wissenschaften, vol. 267, Springer-Verlag, New York, 1985
1985
Earlier work this paper cites.
M. Culler and K. Vogtmann, Moduli of graphs and automorphisms of free groups , Invent. Math. 84
1986
Earlier work this paper cites.
D. Dhar, Self-organized critical state of sandpile automaton models , Phys. Rev. Lett. 64
1990
Earlier work this paper cites.
G. Mikhalkin, Tropical geometry and its applications , International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, pp. 827–852
2006
Earlier work this paper cites.
M. Baker and S. Norine, Riemann-Roch and Abel-Jacobi theory on a finite graph , Adv. Math. 215
2007
Earlier work this paper cites.
M. Baker, Specialization of linear systems from curves to graphs , Algebra Number Theory 2
2008
Earlier work this paper cites.
A. Gathmann and M. Kerber, A Riemann-Roch theorem in tropical geometry , Math. Z. 259
2008
Earlier work this paper cites.
G. Mikhalkin and I. Zharkov, Tropical curves, their Jacobians and theta functions , Curves and abelian varieties, Contemp. Math., vol. 465, Amer. Math. Soc., 2008, pp. 203–230
2008
Cited alongside, same era.
by same author, Harmonic morphisms and hyperelliptic graphs , Int. Math. Res. Not. (2009), no. 15, 2914–2955
2009
Cited alongside, same era.
A. Gathmann, M. Kerber, and H. Markwig, Tropical fans and the moduli spaces of tropical curves , Compos. Math. 145
2009
Cited alongside, same era.
2009
Cited alongside, same era.
D. Kozlov, The topology of moduli spaces of tropical curves with marked points , Asian J. Math. 13
2009
Cited alongside, same era.
2010
Later among the works it cites.
M. Baker and X. Faber, Metric properties of the tropical Abel-Jacobi map , J. Algebraic Combin. 33
2011
Closest in time.
S. Brannetti, M. Melo, and F. Viviani, On the tropical Torelli map , Adv. Math. 226
2011
Closest in time.
L. Caporaso, Algebraic and combinatorisal Brill-Noether theory , preprint, arXiv:1106.1140v1, 2011
2011
Closest in time.
2011
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
L. Caporaso and F. Viviani, Torelli theorem for graphs and tropical curves , Duke Math. J. 153
2010
Cited alongside, same era.
M. Chan, Combinatorics of the tropical Torelli map , preprint, arXiv:1012.4539v2, 2011
2011
Closest in time.
Y. Luo, Rank-determining sets of metric graphs , J. Combin. Theory Ser. A 118
2011
Closest in time.