製作者の研究成果

  1. Normal affine subalgebras of a polynomial ring, Algebraic and Topological Theories - to the memory of Dr. Takehiko MIYATA, Kinokuniya, 1985, 37-51. pdf
  2. On the Jacobian Conjecture for Q-homology planes (with R.V. Gurjar), J. reine angew. Math. 516 (1999), 115--132.
  3. Etale endomorphisms of algebraic surfaces with Gm-actions (with K. Masuda), Math. Ann. 319 (2001), 493--516.
  4. Open algebraic surfaces, Centre de Recherches Mathematiques, Vol 12, Universite de Montr'eal, Amer. Math. Soc., 2001.
  5. Generalized Jacobian conjecture and related topics (with K. Masuda), the proceedings of International Colloquium on Algebra, Arithmetic and Geometry, 427--466 (2002), Tata Institute of Fundamental Research and International Mathematical Union, January, 2000.
  6. Completely parametrized A1*-fibrations on the affine plane, Advanced Studies in Pure Mathematics, 33 (2002), 185--201.
  7. Open algebraic surfaces with finite group actions (with K. Masuda), Transformation Groups 7 (2002), 185--207.
  8. Equivariant classification of Gorenstein open log del Pezzo surfaces with finite group actions (with De-Qi Zhang), J. Math. Soc. Japan 56 (2004), 215--245.
  9. The additive group actions on Q-homology planes (with K. Masuda), Annales de l'Institut Fourier (Grenoble), 53 (2003), 429--464.
  10. Automorphisms of affine surfaces with A1-fibrations (with R.V. Gurjar), Michigan Math. J. 53 (2005), 33--55.
  11. Equivariant cancellation for algebraic varieties (with K. Masuda), Proceedings of the RSME/AMS meeting in Seville on Affine Algebraic Geometry Conference, organizedby Jaime Gutierrez, Vladimir Shpilrain, and Jie-Tai Yu, Contemporary Mathematics 369 (2005), 183--195, American Mathematical Society.
  12. On two recent views of the Jacobian Conjecture (with T. Kambayashi), Proceedings of the RSME/AMS meeting in Seville on Affine Algebraic Geometry Conference, organizedby Jaime Gutierrez, Vladimir Shpilrain, and Jie-Tai Yu, Contemporary Mathematics 369 (2005), 113--138, American Mathematical Society.
  13. Affine pseudo-planes and cancellation problem (with K. Masuda), Trans. Amer. Math. Soc. 357, No. 12 (2005), 4867--4883.
  14. Recent developments in affine algebraic geometry, Affine Algebraic Geometry edited by T. Hibi, 307--378, Osaka University Press, 2007, 307--378. pdf
  15. Lectures on Geometry and Topology of Polynomials - surrounding the Jacobian Conjecture, Lecture Note Series in Mathematics 8, Department of mathematics, Osaka University, 2004. pdf
  16. Affine lines on affine surfaces and the Makar-Limanov invariant (with R.V. Gurjar, K. Masuda and P. Russell), Cand. J. Math. 60 (2008), 109--139.
  17. Affine pseudo-coverings of algebraic surfaces, J. Algebra 294 (2005), 156--176.
  18. Affine pseudo-planes with torus actions, Transformation Groups 11 (2006), 249--267.
  19. A geometric approach to the Jacobian conjecture in dimension two, J. Algebra 304 (2006), 1014--1025.
  20. Smoothness of the images of the members of a linear pencil under an endomorphism of the affine plane (with Pierrette Cassou-Nogues), J. Pure and Applied Algebra, 213 (2009), 711--723.
  21. Q-factorial subalgebras of polynomial rings, Acta Mathematica Vietnamica, 32, no. 2--3 (2007), 113--122.
  22. Ga-actions and completions, J. Algebra 319 (2008), 2845--2854.
  23. Additive group scheme actions on the integral schemes defined over discrete valuation rings, a special issue for Professor Paul Roberts, J. Algebra 322 (2009), no. 9, 3331--3344.
  24. Jacobian problem for singular surfaces (with R.V. Gurjar), J. Math. Kyoto Univ. 48 (2008), 757--764.
  25. Lifting of locally nilpotent derivations under finite homomorphisms (with K. Masuda), Tohoku Math. J. 61 (2009), 267--286.
  26. Affine normal surface with simply-connected smooth locus (with R.V. Gurjar, M. Koras and P. Russell), Math. Ann. 353 (2012), 127--144.
  27. Frobenius sandwiches of affine algebraic surfaces, Affine algebraic geometry, The Russell Festschrift, 243--260, CRM Proceedings and lecture notes 54, Amer. Math. Soc., 2011.
  28. A homology plane of general type can have at most a cyclic quotient singularity (with R.V. Gurjar, M. Koras and P. Russell), J. Algebraic Geom. 23 (2014), 1--62.
  29. Masayoshi Nagata (1927--2008) and his mathematics, Kyoto J. Math. 50, No. 4, 2010, 645--659.
  30. A^1-fibrations on affine threefolds (with R.V. Gurjar and K. Masuda), J. pure and applied algebra 216 (2012), 296--313. pdf
  31. Algebraic derivations on affine domains, Proc. CAAG 2010, RMS-Lecture Note Series No. 17, 2013, pp.185--198. pdf
  32. A^1_*-fibrations on affine threefolds (with R. V. Gurjar, M. Koras, K. Masuda and P. Russell), Affine algebraic geometry, Proc. AAG, Osaka 2011, pp. 62--102, World Scientific.
  33. Surjective derivations in small dimensions (with R.V. Gurjar and K. Masuda), J. the Ramanujan Mathematical Society, 28} (2013), Special Issue, 221--246. pdf
  34. Deformations of A^1-fibrations (with R.V. Gurjar and K. Masuda), to appear in the proceedings of the Levico Therme conference. pdf
  35. Pure subrings of commutative rings (with R.V. Gurjar and S. Chakraborty),to appear in Nagoya Math.J.
  36. On forms of the affine line over a field (with T. Kambayashi), Lecture in Mathematics, Kyoto University, Vol. 10, 1977. pdf

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