12 citations · 22 across the 10 of their papers we have counts for
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Equivariant Jacobian Conjecture in dimension two
Masayoshi Miyanishi
Let be a finite group acting effectively on the complex affine plane. If the -action commutes with an étale endomorphism of the affine plane and the order of is even…
Lectures on Geometry and Topology of Polynomials - Surrounding the Jacobian Conjecture
Masayoshi Miyanishi
Recent developments of affine algebraic geometry, especially the theory of open algebraic surfaces, provide means to systematically explore geometric and topological properties of…
Affine threefolds admitting -actions
R. V. Gurjar, M. Koras, M. Miyanishi +1
Affine varieties of dimension greater than two can be explored their structures with the help of fibrations by the affine line or plane and quotient morphisms by -act…
Deformations of A^1-fibrations
R. V. Gurjar, K. Masuda, M. Miyanishi
We consider log deformations of affine surfaces with fibrations by the affine lines. Such a fibration is of affine type (resp. of complete type) if the base curve of the fibration…
Algebraic derivations on affine domains
Kayo Masuda, Masayoshi Miyanishi
We observe algebraic derivations on an affine domain B defined over an algebraically closed field of characteristic 0, which are called locally finite derivations in commutative an…
-fibrations on affine threefolds
R. V. Gurjar, M. Koras, K. Masuda +2
The affine line minus one point is the underlying space of the algebraic torus of dimension one. However the fibration of an affine algebraic threefold by the affine line minus one…
Surjective derivations in small dimensions
R. V. Gurjar, K. Masuda, M. Miyanishi
Inspired by a result of D. Cerveau on surjective derivations on a polynomial ring in two variables over a complex number field C, we consider a surjective derivation defined on an…
A homology plane of general type can have at most a cyclic quotient singularity
R. V. Gurjar, M. Koras, M. Miyanishi +1
We show that a homology plane of general type has at worst a single cyclic quotient singular point. An example of such a surface with a singular point does exist. We also show that…
Equivariant classification of Gorenstein open log del Pezzo surfaces with finite group actions
Masayoshi Miyanishi, De-Qi Zhang
We classify equivariantly Gorenstein log del Pezzo surfaces with boundaries at infinity and with finite group actions such that the quotient surface modulo the finite group has Pic…