Japanese version
Dept of Math.
Nobuhiro Honda
Department of Mathematics, Tokyo Institute of Technology@

@ OfficeFMain Build. 215
emailFhonda [followed by] @math.titech.ac.jp

Research Interest
complex geometry of twistor spaces, differential geometry of self-dual metrics

Research papers (in the order of writing)
  1. N. Honda, "Donaldson-Friedman construction and deformations of a triple of compact complex spaces." Osaka J. Math. 36 (1999) no.3, 641-672.
  2. N. Honda and Mitsuhiro Itoh, "A Kummer type construction of self-dual metrics on the connected sum of four complex projective planes." J. Math. Soc. Japan 52 (2000) no.1, 139-160.
  3. N. Honda, "On some twistor spaces over 4CP^2." Compositio Math. 122 (2000) no.3, 323-336.
  4. N. Honda, "Equivariant deformations of meromorphic actions on compact complex manifolds." Math. Ann. 319 (2001) no.3, 469-481.
  5. N. Honda, "On the structure of Pedersen-Poon twistor spaces. " Math. Scand. 91 (2002) no.2, 175-213.
  6. N. Honda, "Degenerate double solids as twistor spaces." Comm. Anal. Geom. 10 (2002) no.5, 985-998. (Not available from the journal homepage.)
  7. N. Honda, "Donaldson-Friedman construction and deformations of a triple of compact complex spaces. II." Math. Nachr. 256 (2003) 48-57.
  8. N. Honda, "Non-Moishezon twistor spaces of 4CP^2 with non-trivial automorphism group." Trans Amer. Math. Soc. 358 (2006) no.5, 1897-1920.
  9. N. Honda, "Geometry of lines on certain Moishezon threefolds. I. explicit description of families of twistor lines." math.DG/0309084.
  10. *N. Honda, "Self-dual metrics and twenty-eight bitangents." (= expanded version of [9]). J. Differential Geom. 75 (2007) 175-258. no.2, math.DG/0403528 (longer version)
  11. N. Honda, "Equivariant deformations of LeBrun's self-dual metric with torus action." Proc. Amer. Math. Soc. 135 (2007) 495-505. no.2, math.DG/0504047
  12. N. Honda, "New examples of minitwistor spaces and their moduli space." Osaka J. Math. 47 (2010) 717-730. no.3. math.DG/0508088
  13. N. Honda, "On a construction of the twistor spaces of Joyce metrics." J. Algebraic Geom. 17 (2008) no.4, 709-750. (Originally this was 2 papers math.DG/0603242 and math.DG/0604306.)
  14. N. Honda, "Twistor lines on Nagata threefold." J. Math. Kyoto Univ. 47 (2007) no.4, 837-848. math.DG/0608455
  15. *N. Honda, "Explicit construction of new Moishezon twistor spaces." J. Differential Geom. 82 (2009) no.2, 411-444. math.DG/0701278
  16. N. Honda, "Double solid twistor spaces: the case of arbitrary signature." Invent. math. 174 (2008) no.3, 463-504. arXiv:0705.0060 (original title: Explicit construction of new Moishezon twistor spaces, II.)
  17. N. Honda, "A new series of compact minitwistor spaces and Moishezon twistor spaces over them." J. reine angew. Math. 642 (2010), 197-235. arXiv:0805.0042 (original title: Explicit construction of new Moishezon twistor spaces, III)
  18. N. Honda, "Projective models of the twistor spaces of Joyce metrics." arXiv:0805.0046
  19. N. Honda, "On a construction of the twistor spaces of Joyce metrics, II." J. Math. Soc. Japan. 61. (2009) no.4, 1243-1260 (I do not post this paper to the arXiv, due to a conflict with a title of my older preprint math.DG/0604306. Sorry for inconvenience. Anyway, this paper is completely different from math.DG/0604306.)
  20. N. Honda and Fuminori Nakata, "Minitwistor spaces, Severi varieties, and Einstein-Weyl structure." Ann. Global Anal. Geom. 39 (2011) no.3. 293--323 arXiv:0901.2264
  21. N. Honda and Jeff Viaclovsky, "Conformal symmetries of self-dual hyperbolic monopole metrics." Osaka J. Math. 50 (2013) no.1, 197-249. arXiv:0902.2019
  22. N. Honda, "On pluri-half-anticanonical system of LeBrun twistor spaces." Proc. Amer. Math. Soc. 138 (2010), 2051-2060. arXiv:0906.390
  23. N. Honda, "Degenerations of LeBrun twistor spaces." Comm. Math. Phys. 301 (2011) no.3, 749--770 arXiv:1001.3461
  24. N. Honda, "Geometry of generic Moishezon twistor spaces on 4CP^2." arXiv:1009.3153. (see [28] below)
  25. N. Honda, "Classification of Moishezon twistor spaces on 4CP^2." arXiv:1108.1443. (see [28] below)
  26. N. Honda, "Geometry of generic Moishezon twistor spaces on 4CP^2 II: degenerate cases." arXiv:1109.5427. (see [28] below)
  27. *N. Honda, "Double solid twistor spaces II: general case." J. reine angew. Math. 698 (2015) 181-220. arXiv:1109.5425.
  28. *N. Honda, "Moishezon twistor spaces on 4CP^2." J. Algebraic Geom. 23 (2014) no.3, 471-538 (This is a combination of the three articles [24], [25] and [26], minus some detailed construction of the twistor spaces presented in [24].) arXiv:1112.3109.
  29. N. Honda, "Deformation of LeBrun's ALE metrics with negative mass." Comm. Math. Phys. 322 (2013) 127-148. arXiv:1204.4857.
  30. N. Honda and Jeff Viaclovsky "Toric LeBrun metrics and Joyce metrics." Geometry and Topology 17 (2013) 2923-2934. arXiv:1208.2065.
  31. N. Honda, "Scalar flat Kaehler metric on affine bundles over CP^1." SIGMA 10 (2014), 046, 25 pages (Special Issue on Progress in Twistor Theory) arXiv:1311.2391
  32. N. Honda, "Geometry of some twistor spaces of algebraic dimension one." Complex Manifolds 2 (2015) 105-130. arXiv:1504.03061
  33. N. Honda, Bernd Kreussler "Algebraic dimension of twistor spaces whose fundamental system is a pencil." arXiv:1510.07232
A file for my talk at the conference on differential geometry is available from here

Department of Mathematics, Tokyo Institute of Technology, 152-8551, Japan

Update: Jul. 1, 2016