Found 58 Documents (Results 1–58)
A generalization of the Poincaré compactification and the real Jacobian conjecture. (English) Zbl 1541.37024
Reviewer: William J. Satzer Jr. (St. Paul)
A new class of non-injective polynomial local diffeomorphisms on the plane. (English) Zbl 1474.14081
MSC:
14R15
A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\). (English) Zbl 1467.37024
A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. (English) Zbl 1459.14023
Reviewer: Yan Dan (Changsha)
On the standard conjecture for a 3-dimensional variety fibred by curves with a non-injective Kodaira-Spencer map. (English. Russian original) Zbl 1460.14024
Izv. Math. 84, No. 5, 1016-1035 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 5, 211-232 (2020).
New classes of polynomial maps satisfying the real Jacobian conjecture in \(\mathbb{R}^2\). (English) Zbl 1442.14190
MSC:
14R15
The phase portrait of the Hamiltonian system associated to a Pinchuk map. (English) Zbl 1419.37053
Reviewer: Alexander Grin (Grodno)
On globally diffeomorphic polynomial maps via Newton polytopes and circuit numbers. (English) Zbl 1405.14130
Reviewer: Alexander Taveira Blomenhofer (Konstanz)
Real Jacobian mates. (English) Zbl 1357.14072
Reviewer: Tadeusz Krasiński (Łódź)
On polynomial submersions of degree 4 and the real Jacobian conjecture in \(\mathbb{R}^2\). (English) Zbl 1347.14011
Reviewer: Tadeusz Krasiński (Łódź)
MSC:
14R15
A sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. (English) Zbl 1332.14072
Reviewer: Tadeusz Krasiński (Łódź)
A new qualitative proof of a result on the real Jacobian conjecture. (English) Zbl 1332.14073
Reviewer: Tadeusz Krasiński (Łódź)
Reduction theorems for the strong real Jacobian conjecture. (English) Zbl 1307.14085
Reviewer: Tadeusz Krasiński (Łódź)
Pinchuk maps and function fields. (English) Zbl 1284.14086
Reviewer: Stanisław Spodzieja (Łódź)
The real Jacobian conjecture on \(\mathbb R^2\) is true when one of the components has degree 3. (English) Zbl 1181.14067
The global inversion problem: a confluence of many mathematical topics. (English) Zbl 1198.58006
Reviewer: Dorin Andrica (Cluj-Napoca)
On the Łojasiewicz exponent at infinity of polynomial mappings. (English) Zbl 1145.58011
Reviewer: Aleksandr G. Aleksandrov (Moskva)
A note on proper polynomial maps. (English) Zbl 1083.14068
Reviewer: Tadeusz Krasiński (Łódź)
Symplectic homogeneous diffeomorphisms, Cremona maps and the jolt representation. (English) Zbl 1098.37052
Characterizing two-dimensional maps whose Jacobians have constant eigenvalues. (English) Zbl 1041.26004
On the Malgrange condition for complex polynomials of two variables. (English) Zbl 1031.32004
Reviewer: A.Diaz-Cano (Madrid)
Commutativity of flows and injectivity of nonsingular mappings. (English) Zbl 0987.37052
Reviewer: Messoud Efendiev (Berlin)
The Real Jacobian Conjecture for polynomials of degree 3. (English) Zbl 0990.14023
Reviewer: Tadeusz Krasiński (Łódź)
The effect of rational maps on polynomial maps. (English) Zbl 1020.14003
Reviewer: Tadeusz Krasiński (Łódź)
Regular analytic transformations of \({\mathbb R}^2\). (English) Zbl 0964.14048
Reviewer: Tadeusz Krasiński (Łódź)
A geometry of Pinchuk’s map. (English) Zbl 0957.14041
Reviewer: Tadeusz Krasiński (Łódź)
A geometry of polynomial transformations of the real plane. (English) Zbl 0958.14042
Reviewer: Tadeusz Krasiński (Łódź)
Affine surfaces fibered by affine lines over the projective line. (English) Zbl 0905.14017
Reviewer: D.Wright (St.Louis)
Remarks on the Jacobian conjecture. (English) Zbl 0892.14010
Reviewer: T.Krasiński (Łódź)
The Jacobian conjecture in case of “non-negative coefficients”. (English) Zbl 0874.13016
Reviewer: E.Hertel (Jena)
Yagzhev polynomial mappings: On the structure of the Taylor expansion of their local inverse. (English) Zbl 0868.12001
Reviewer: J.Davidov (Sofia)
On counterexamples to Keller’s problem. (English) Zbl 0855.13015
Reviewer: R.Peretz (Beer-Sheva)
Families of plane curves with only one irregular value. (Familles de courbes planes ayant une seule valeur irrégulière.) (French. Abridged English version) Zbl 0881.14013
Injectivity of polynomial local homeomorphisms of \(\mathbb{R}^ n\). (English) Zbl 0845.58014
Reviewer: V.Oproiu (Iaşi)
Derivations generated by polynomials, their images and complements of the images. (English) Zbl 0831.47024
Essen, Arno van den (ed.), Automorphisms of affine spaces. Proceedings of the international conference on invertible polynomial maps, held in Curaçao, Netherlands Antilles, July 4-8, 1994, under the auspices of the Caribbean Mathematical Foundation (CMF). Dordrecht: Kluwer Academic Publishers. 137-144 (1995).
Global injectivity of polynomials maps via vector fields. (English) Zbl 0834.58006
Essen, Arno van den (ed.), Automorphisms of affine spaces. Proceedings of the international conference on invertible polynomial maps, held in Curaçao, Netherlands Antilles, July 4-8, 1994, under the auspices of the Caribbean Mathematical Foundation (CMF). Dordrecht: Kluwer Academic Publishers. 105-123 (1995).
Reviewer: E.Outerelo (Madrid)
On the Jacobian conjecture: Reduction of coefficients. (English) Zbl 0816.13017
Reviewer: T.Krasiński (Łódź)
Rational Samuelson maps are univalent. (English) Zbl 0814.14049
Reviewer: H.-J.Reiffen (Osnabrück)
Invertibility of Bass-Connell-Wright polynomial maps. (English) Zbl 0811.13015
Reviewer: P.Skibinski (Łódź)
Polynomials with constant Hessian determinant. (English) Zbl 0741.12001
Reviewer: T.Krasiński (Łódź)
Jacobian conjecture and differential operators. (Conjecture Jacobienne et opérateurs différentiels.) (French) Zbl 0749.13003
Reviewer: A.R.Magid (Norman)
A contribution to Keller’s Jacobian conjecture. II. (English) Zbl 0706.13016
Deformations of mathematical structures, complex analysis with physical applications, Sel. Pap. Semin., Łódź/Poland 1985/87, 133-140 (1989).
A contribution to Keller’s Jacobian conjecture. (English) Zbl 0592.13006
Deformations, Proc. Semin., Łódź-Warsaw/Pol. 1982/84, Lect. Notes Math. 1165, 36-51 (1985).
Reviewer: A.Kustin
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