本多 宣博 

Honda, Nobuhiro

東京工業大学 大学院理工学研究科 数学専攻
研究室:本館 215
honda@math.titech.ac.jp

テスト
学術論文(執筆順)
[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 4CP^2.
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. (Not available from the journal homepage.)
[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 4CP^2 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) 175-258. no.2. 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) 495-505. no.2. math.DG/0504047
[12] New examples of minitwistor spaces and their moduli space.
Osaka J. Math. 47 (2010) 717-730. no.3. 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 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)
[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:0906.390
[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 4CP^2.
arXiv:1009.3153. (see [28] below)
[25] Classification of Moishezon twistor spaces on 4CP^2.
arXiv:1108.1443. (see [28] below)
[26] Geometry of generic Moishezon twistor spaces on 4CP^2 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 4CP^2.
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 CP^1.
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.  arXiv:1510.07232