Nobuhiro Honda

Nobuhiro Honda

Tokyo Institute of Technology
Office: Ookayama Main Building H215
honda@math.titech.ac.jp

english

Tokyo Institute of Technology Office:Ookayama Main Building 215 honda@math.titech.ac.jp

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Research Papers (order of writing)

  1. Donaldson-Friedman construction and deformations of a triple of compact complex spaces.
    Osaka J. Math. 36 (1999) no.3, 641-672.
  2. A Kummer type construction of self-dual metrics on the connected sum of four complex projective planes.
    (with Mitsuhiro Itoh)
    J. Math. Soc. Japan 52 (2000) no.1, 139-160.
  3. On some twistor spaces over 4CP2.
    Compositio Math. 122 (2000) no.3, 323-336.
  4. Equivariant deformations of meromorphic actions on compact complex manifolds.
    Math. Ann. 319 (2001) no.3, 469-481.
  5. On the structure of Pedersen-Poon twistor spaces.
    Math. Scand. 91 (2002) no.2, 175-213.
  6. Degenerate double solids as twistor spaces.
    Comm. Anal. Geom. 10 (2002) no.5, 985-998.
  7. Donaldson-Friedman construction and deformations of a triple of compact complex spaces. II.
    Math. Nachr. 256 (2003) 48-57. 
  8. Non-Moishezon twistor spaces of 4CP2 with non-trivial automorphism group.
    Trans Amer. Math. Soc. 358 (2006) no.5, 1897-1920.
  9. Geometry of lines on certain Moishezon threefolds. I. explicit description of families of twistor lines.
    math.DG/0309084.
  1. Self-dual metrics and twenty-eight bitangents.
    J. Differential Geom. 75 (2007) 175-258. no.2. math.DG/0403528 (longer version)
    This article is an expanded version of [9].
  2. Equivariant deformations of LeBrun's self-dual metric with torus action.
    Proc. Amer. Math. Soc. 135 (2007) 495-505. no.2. math.DG/0504047
  3. New examples of minitwistor spaces and their moduli space.
    Osaka J. Math. 47 (2010) 717-730. no.3. math.DG/0508088
  4. 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)
  5. Twistor lines on Nagata threefold.
    J. Math. Kyoto Univ. 47 (2007) no.4, 837-848. math.DG/0608455
  6. Explicit construction of new Moishezon twistor spaces.
    J.Differential Geom.82 (2009) no.2, 411-444. math.DG/0701278
  7. 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.)
  8. A new series of compact minitwistorspaces 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)
  9. Projective models of the twistor spaces of Joyce metrics.
    arXiv:0805.0046
  10. 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.)
  11. Minitwistor spaces, Severi varieties, and Einstein-Weyl structure.
    (with Fuminori Nakata)
    Ann. Global Anal. Geom. 39 (2011) no.3. 293--323. arXiv:0901.2264
  12. Conformal symmetries of self-dual hyperbolic monopole metrics.
    (with Jeff Viaclovsky)
    Osaka J. Math. 50 (2013) no.1, 197-249. arXiv:0902.2019
  13. On pluri-half-anticanonical system of LeBrun twistor spaces.
    Proc. Amer. Math. Soc. 138 (2010), 2051-2060. arXiv:0906.390
  14. Degenerations of LeBrun twistor spaces.
    Comm. Math. Phys. 301 (2011) no.3, 749--770. arXiv:1001.3461
  15. Geometry of generic Moishezon twistor spaces on 4CP2.
    arXiv:1009.3153. (see [28] below)
  16. Classification of Moishezon twistor spaces on 4CP2.
    arXiv:1108.1443. (see [28] below)
  17. Geometry of generic Moishezon twistor spaces on 4CP2 II:degenerate cases.
    arXiv:1109.5427. (see [28] below)
  18. Double solid twistor spaces II: general case.
    J. reine angew. Math. 698 (2015) 181-220. arXiv:1109.5425.
  19. Moishezon twistor spaces on 4CP2.
    J. Algebraic Geom. 23 (2014) no.3, 471-538. arXiv:1112.3109.
    (This is a combination of the three articles [24], [25] and [26], minus some detailed construction of the twistor spaces presented in [24].)
  20. Deformation of LeBrun's ALE metrics with negative mass.
    Comm. Math. Phys. 322 (2013) 127-148. arXiv:1204.4857.
  21. Toric LeBrun metrics and Joyce metrics.
    (with Jeff Viaclovsky)
    Geometry and Topology 17 (2013) 2923-2934. arXiv:1208.2065.
  22. Scalar flat Kaehler metric on affine bundles over CP1.
    SIGMA 10 (2014), 046, 25 pages. (Special Issue on Progress in Twistor Theory) arXiv:1311.2391
  23. Geometry of some twistor spaces of algebraic dimension one.
    Complex Manifolds 2 (2015) 105-130. arXiv:1504.03061
  24. Algebraic dimension of twistor spaces whose fundamental system is a pencil.
    (with Bernd Kreussler)
    J. London Math. Soc. 95 (2017) 989-1010. arXiv:1510.07232
  25. Twistors, quartics, and del Pezzo fibrations.
    to appear in Mem. Amer. Math. Soc. arXiv:1810.13030
  26. Segre quartic surfaces and minitwistor spaces.
    preprint. arXiv:2009.05242
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