Amoebas of Maximal Area

International Mathematics Research Notices

Volumn 2001, Issue 9, 2001, Pages

  Mikhalkin, Grigory ^a   Rullgård, Hans ^b  

^a UNIVERSITY OF UTAH   (United States)

^b STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037760149     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. A. D. Aleksandrov, Zur Theorie von konvexen Körpern, IV: Die gemischten Diskriminanten und die gemischten Volumina, Mat. Sb. 3 (1938), 227-251.
2. V. I. Arnold, S. M. Guseǐn-Zade, and A. N. Varchenko, Singularities of Differentiate Maps, I: The Classification of Critical Points, Caustics and Wave Fronts, Monogr. Math. 82, Birkhäuser, Boston, 1985.
3. _, Singularities of Differential Maps, II: Monodromy and Asymptotics of Integrals, Monogr. Math. 83, Birkhäuser, Boston, 1988.
4. I. M. Gelfand, M. M. Kapranov, and A. V. Zelevinsky, Discriminants, Resultants, and Multidimensional Determinants, Math. Theory Appl. Birkhäuser, Boston, 1994.
5. A. Harnack, Über die Vieltheiligkeit der ebenen algebraischen Curven, Math. Ann. 10 (1876), 189-199.
6. I. Itenberg and O. Viro, Patchworking algebraic curves disproves the Ragsdale conjecture, Math. Intelligencer 18 (1996), 19-28.
7. A. G. Khovanskii, Newton polyhedra and toric varieties, Funktsional. Anal, i Priložen. 11, no. 4 (1977), 56-64.
8. G. Mikhalkin, Real algebraic curves, the moment map and amoebas, Ann. of Math. (2) 151 (2000), 309-326.
9. M. Passare and H. Rullgård, Amoebas, Mange-Ampère measures and triangulations of the Newton polytope, preprint, http://www.matematik.su.se/reports/2000/10
10. J. Rauch and B. A. Taylor, The Dirichlet problem for the multidimensional Monge-Ampère equation, Rocky Mountain J. Math. 7 (1977), 345-364.
11. V. A. Rohlin, Complex topological characteristics of real algebraic curves, Russian Math. Surveys 33, no. 5 (1978), 85-98.