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.

10. Self-dual metrics and twenty-eight bitangents.
    J. Differential Geom. 75 (2007), no. 2, 175–258. math.DG/0403528 (longer version)
    This article is an expanded version of [9].
11. Equivariant deformations of LeBrun's self-dual metric with torus action.
    Proc. Amer. Math. Soc. 135 (2007), no. 2, 495–505. math.DG/0504047
12. New examples of compact minitwistor spaces and their moduli space.
    Osaka J. Math. 47 (2010), no. 3, 717–730. math.DG/0508088
13. 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. Twistor lines on Nagata threefold.
    J. Math. Kyoto Univ. 47 (2007), no. 4, 837–848. math.DG/0608455
15. Explicit construction of new Moishezon twistor spaces.
    J. Differential Geom. 82 (2009), no. 2, 411–444. math.DG/0701278
16. 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. 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. Projective models of the twistor spaces of Joyce metrics.
    arXiv:0805.0046
19. 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. Minitwistor spaces, Severi varieties, and Einstein-Weyl structure.
    (with Fuminori Nakata)
    Ann. Global Anal. Geom. 39 (2011), no. 3, 293–323. arXiv:0901.2264
21. Conformal symmetries of self-dual hyperbolic monopole metrics.
    (with Jeff Viaclovsky)
    Osaka J. Math. 50 (2013), no. 1, 197–249. arXiv:0902.2019
22. On pluri-half-anticanonical system of LeBrun twistor spaces.
    Proc. Amer. Math. Soc. 138 (2010), 2051–2060. arXiv:0906.3907
23. Degenerations of LeBrun twistor spaces.
    Comm. Math. Phys. 301 (2011), no. 3, 749–770. arXiv:1001.3461
24. Geometry of generic Moishezon twistor spaces on 4CP².
    arXiv:1009.3153. (see [28] below)
25. Classification of Moishezon twistor spaces on 4CP².
    arXiv:1108.1443. (see [28] below)
26. Geometry of generic Moishezon twistor spaces on 4CP² II: degenerate cases.
    arXiv:1109.5427. (see [28] below)
27. Double solid twistor spaces II: general case.
    J. reine angew. Math. 698 (2015), 181–220. arXiv:1109.5425.
28. 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].)
29. Deformation of LeBrun's ALE metrics with negative mass.
    Comm. Math. Phys. 322 (2013), 127–148. arXiv:1204.4857.
30. Toric LeBrun metrics and Joyce metrics.
    (with Jeff Viaclovsky)
    Geometry and Topology 17 (2013), 2923–2934. arXiv:1208.2065.
31. 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
32. Geometry of some twistor spaces of algebraic dimension one.
    Complex Manifolds 2 (2015), 105–130. arXiv:1504.03061
33. 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
34. Twistors, quartics, and del Pezzo fibrations.
    Memoirs of the AMS, vol. 285, No. 1414 (2023), pp. 1–134. arXiv:1810.13030
35. Segre quartic surfaces and minitwistor spaces.
    New York J. Math. 28 (2022), 672–704. arXiv:2009.05242
36. On the cuspidal locus in the dual varieties of Segre quartic surface.
    (with Ayato Minagawa)
    Riv. Mat. Univ. Parma 13 (2022), no. 2, 551–610. arXiv:2108.07065
37. The Einstein-Weyl spaces associated to Segre quartic surfaces.
    (with Fuminori Nakata)
    to appear in Algebraic Geometry and Physics. arXiv:2208.13567 (largely revised on Dec. 2024)
38. Fibrations on the 6-sphere and Clemens threefolds.
    (with Jeff Viaclovsky)
    Adv. Math. 503 (2026), 111221 (37 pp.). arXiv:2403.05035
39. Hyperelliptic curves, minitwistors, and spacelike Zoll spaces.
    To appear in Duke Math. J.
    arXiv:2502.11388
40. Some remarks on fibrations in complex geometry.
    (with Jeff Viaclovsky)
    J. Math. Study 58 (2025), no. 4, 552–574. (Special issue in honor of Gang Tian) arXiv:2504.14420
41. On the twistor spaces of ALE gravitational instantons of type A_odd.
    arXiv:2603.14720
42. Gravitational instantons and hyperbolic space.
    arXiv:2609.32243