Geodesic
A~Restriction on the Combinatorial Structure of Counterexamples to the Jacobian Conjecture at Infinity
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 61-66.

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A constraint on the combinatorial structure of a meromorphic immersion of a $(+1)$-pair $(v,l)$ in the space $\mathbb C^2$ with one dicritical component is found. 
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A. V. Domrina. A~Restriction on the Combinatorial Structure of Counterexamples to the Jacobian Conjecture at Infinity. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 61-66. http://geodesic.mathdoc.fr/item/TM_2006_253_a4/

[1] Keller O.H., “Ganze Cremona-Transformationen”, Monatschr. Math. und Phys., 47 (1939), 299–306 | DOI | MR | Zbl

[2] Vitushkin A.G., “On polynomial transformation of $\mathbb C^n$”, Manifolds (Tokyo, 1973), Tokyo Univ. Press, Tokyo, 1975, 415–417 | MR | Zbl

[3] Bass H., Connell E.H., Wright D., “The Jacobian conjecture: reduction of degree and formal expansion of the inverse”, Bull. Amer. Math. Soc., 7:2 (1982), 287–330 | DOI | MR | Zbl

[4] Orevkov S.Yu., “Kontrprimery k ‘gipoteze o yakobiane na beskonechnosti’ ”, Tr. MIAN, 235, 2001, 181–210 | MR | Zbl

[5] Domrina A.V., Orevkov S.Yu., “O chetyrekhlistnykh polinomialnykh otobrazheniyakh $\mathbb C^2$. I: Sluchai neprivodimoi krivoi vetvleniya”, Mat. zametki, 64:6 (1998), 847–862 | MR | Zbl

[6] Domrina A.V., “O chetyrekhlistnykh polinomialnykh otobrazheniyakh $\mathbb C^2$. II: Obschii sluchai”, Izv. RAN. Ser. mat., 64:1 (2000), 3–36 | MR | Zbl

[7] Orevkov S.Yu., “Odin primer v svyazi s gipotezoi o yakobiane”, Mat. zametki, 47:1 (1990), 127–136 | MR

[8] Orevkov S.Yu., “O trekhlistnykh polinomialnykh otobrazheniyakh $\mathbb C^2$”, Izv. AN SSSR. Ser. mat., 50:6 (1986), 1231–1241 | MR

[9] Eisenbud D., Neumann W.D., Three-dimensional link theory and invariants of plane curve singularities, Ann. Math. Stud., 110, Princeton Univ. Press, Princeton, 1985 | MR | Zbl

[10] Neumann W.D., “Complex algebraic plane curves via their links at infinity”, Invent. math., 98 (1989), 445–489 | DOI | MR | Zbl