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.
    Memoirs of the AMS, vol. 285, No. 1414 (2023), pp. 1-134. arXiv:1810.13030
26. Segre quartic surfaces and minitwistor spaces.
    New York J. Math. 28 (2022) 672-704. arXiv:2009.05242
27. On the cuspidal locus in the dual varieties of Segre quartic surface.
    (with Ayato Minagawa)
    Riv. Mat. Univ. Parma 13. no.2. (2022) 551-610. arXiv:2108.07065
28. The Einstein-Weyl spaces associated to Segre quartic surfaces
    (with Fuminori Nakata)
    arXiv:2208.13567 (largely revised on Dec. 2024)
29. Fibrations on the 6-sphere
    (with Jeff Viaclovsky)
    arXiv:2403.05035
30. Hyperelliptic curves, minitwistors, and spacelike Zoll spaces
    arXiv:2502.11388
31. Some remarks on fibrations in complex geometry
    (with Jeff Viaclovsky)
    arXiv:2504.14420