増田研究室

Deformations of $\mathbb{A}^1$-fibrations

R.V. Gurjar, K. Masuda, M. Miyanishi

Automorphisms in Birational and Affine Geometry, 327--361, Springer Proceedings in Mathematics and Statistics, Springer, 2014

Characterizations of hypersurfaces of a Danielewski type

K. Masuda

J. Pure Appl. Algebra 218 (2014), no. 4, 624–633.

Algebraic derivations on affine domains

K. Masuda, M. Miyanishi

Commutative algebra and algebraic geometry (CAAG-2010), 185–198, Ramanujan Math. Soc. Lect. Notes Ser., 17, Ramanujan Math. Soc., Mysore, 2013.

Equivariant embeddings and semi-invariant locally nilpotent derivations.

K. Masuda

Commutative algebra and algebraic geometry (CAAG-2010), 167–184, Ramanujan Math. Soc. Lect. Notes Ser., 17, Ramanujan Math. Soc., Mysore, 2013.

$\mathbb{A}^1_∗$-fibrations on affine threefolds.

R.V. Gurjar, M. Koras, K. Masuda, M. Miyanishi, P. Russell

Affine algebraic geometry, 62–102, World Sci. Publ., Hackensack, NJ, 2013

Surjective derivations in small dimensions

R.V. Gurjar, K. Masuda, M. Miyanishi

J. Ramanujan Math. Soc. 28A (2013), 221–246.

$\mathbb{A}^1$-fibrations on affine threefolds

R.V. Gurjar, K. Masuda, M. Miyanishi

J. Pure Appl. Algebra 216(2012), no. 2, 296–313.

Equivariant derivations and additive group actions

K. Masuda

Affine algebraic geometry, 231–242, CRM Proc. Lecture Notes, 54, Amer. Math. Soc., Providence, RI, 2011

Lifting of the additive group scheme actions.

K. Masuda, M. Miyanishi

Tohoku Math. J. (2) 61 (2009), no. 2, 267–286.

Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces

K. Masuda

J. Algebra 321 (2009), no. 6, 1719–1733

Affine lines on affine surfaces and the Makar-Limanov invariant

R.V. Gurjar, K. Masuda, M. Miyanishi, P. Russell

Canad. J. Math. 60 (2008), no. 1, 109–139

G-endomorphisms of affine G-varieties which induce automorphisms of the invariant subrings of the coordinate rings

K. Masuda

J. Algebra 307 (2007), no. 1, 97–105.9

Affine pseudo-planes with torus actions

K. Masuda, M. Miyanishi

Transform. Groups 11 (2006), no. 2, 249–267.5.

Affine pseudo-planes and cancellation problem.

K. Masuda, M. Miyanishi

Trans. Amer. Math. Soc. 357 (2005), no. 12, 4867–4883 (electronic)7.

Equivariant cancellation for algebraic varieties

K. Masuda, M. Miyanishi

Affine algebraic geometry, 183–195, Contemp. Math., 369, Amer. Math. Soc., Providence, RI, 2005.

Nonlinearizable actions of dihedral groups on affine space

K. Masuda

Trans. Amer. Math. Soc. 356 (2004), no. 9, 3545–3556.

The additive group actions on Q-homology planes

K. Masuda, M. Miyanishi

Ann. Inst. Fourier (Grenoble) 53 (2003), no. 2, 429–464.

Generalized Jacobian conjecture and related topics

K. Masuda, M. Miyanishi

Algebra, arithmetic and geometry, Part I, II (Mumbai, 2000), 427–466, Tata Inst. Fund. Res. Stud. Math., 16, Tata Inst. Fund. Res., Bombay, 2002.

Open algebraic surfaces with finite group actions.

K. Masuda, M. Miyanishi

Transform. Groups 7 (2002), no. 2, 185–207.

Certain moduli of algebraic G-vector bundles over affine G-varieties

K. Masuda

Computational commutative algebra and combinatorics (Osaka, 1999), 165–184, Adv. Stud. Pure Math., 33, Math. Soc. Japan, Tokyo, 2002.

Moduli of algebraic SL3-vector bundles over adjoint representation

K. Masuda

Osaka J. Math. 38 (2001), no. 3, 501–506.

Étale endomorphisms of algebraic surfaces with Gm-actions

K. Masuda, M. Miyanishi

Math. Ann. 319 (2001), no. 3, 493–516.

Invariant subvarieties of low codimension in the affine spaces

K. Masuda, M. Miyanishi

Tohoku Math. J. (2) 52 (2000), no. 1, 61–77.

Moduli of equivariant algebraic vector bundles over a product of affine varieties

K. Masuda

Duke Math. J. 88 (1997), no. 1, 181–199.

Equivariant algebraic vector bundles over a product of affine varieties

K. Masuda

Osaka J. Math. 34 (1997), no. 1, 115–131.

Moduli of equivariant algebraic vector bundles over affine cones with one-dimensional quotient

K. Masuda

Osaka J. Math. 32 (1995), no. 4, 1065–1085.

論文

Deformations of $\mathbb{A}^1$-fibrations

Characterizations of hypersurfaces of a Danielewski type

Algebraic derivations on affine domains

Equivariant embeddings and semi-invariant locally nilpotent derivations.

$\mathbb{A}^1_∗$-fibrations on affine threefolds.

Surjective derivations in small dimensions

$\mathbb{A}^1$-fibrations on affine threefolds

Equivariant derivations and additive group actions

Lifting of the additive group scheme actions.

Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces

Affine lines on affine surfaces and the Makar-Limanov invariant

G-endomorphisms of affine G-varieties which induce automorphisms of the invariant subrings of the coordinate rings

Affine pseudo-planes with torus actions

Affine pseudo-planes and cancellation problem.

Equivariant cancellation for algebraic varieties

Nonlinearizable actions of dihedral groups on affine space

The additive group actions on Q-homology planes

Generalized Jacobian conjecture and related topics

Open algebraic surfaces with finite group actions.

Certain moduli of algebraic G-vector bundles over affine G-varieties

Moduli of algebraic SL3-vector bundles over adjoint representation

Étale endomorphisms of algebraic surfaces with Gm-actions

Invariant subvarieties of low codimension in the affine spaces

Moduli of equivariant algebraic vector bundles over a product of affine varieties

Equivariant algebraic vector bundles over a product of affine varieties

Moduli of equivariant algebraic vector bundles over affine cones with one-dimensional quotient