数学者としてのかじはじめ

• preprints
  • Degree Formulae for Grassmann Bundles, II (with T. Terasoma), preprint [arXiv:1508.01663].
• 掲載済み, または, 掲載決定のもの
  1. Higher Gauss Maps of Veronese Varieties---a generalization of Boole's formula---, Comm. Algebra 46 (2018), no. 9, 4064--4078. [arXiv:1509.04935].
  2. Degree formula for Grassmann bundles (with T. Terasoma), Journal of Pure and Applied Algebra 219 (2015), 5426-5428.
  3. On the tangentially degenerate curves, II, "the Kleiman-Simis volume," the Bulletin of the Brazilian Mathematical Society 45 (2014), 748-752.
  4. Projective varieties admitting an embedding with Gauss map of rank zero (with S. Fukasawa, K. Furukawa), Advances in Mathematics 224 (2010), 2645-2661 [online].
  5. Any algebraic variety in positive characteristic admits a projective model with inseparable Gauss map (with S. Fukasawa), J. Pure and Applied Algebra 214 (2010), 297--300 [online].
  6. The separability of the Gauss map versus the reflexivity, "the Proceedings of the IV Iberoamerican Conference on Complex Geometry (Ouro Preto, Minas Gerais, Brasil, August 12--18, 2007)," Geometriae Dedicata 139 (2009), 75--82 [online].
  7. The reflexivity of a Segre product of projective varieties (with S. Fukasawa), Math. Annalen 342 (2008), 279--289 [on line].
  8. Existence of a non-reflexive embedding with birational Gauss map for a projective variety (with S. Fukasawa), Math. Nachrichten 281 (2008), 1412--1417.
  9. The separability of the Gauss map and the reflexivity for a projective surface (with S. Fukasawa), Math. Zeitschrift 256 (2007), 699--703.
  10. The classification of orbits by a natural action of certain reductive linear groups (with O. Yasukura), Yokohama Math. J. 53 (2006), 39--61.
  11. Projective geometry of Freudenthal's varieties of certain type (with O. Yasukura), Michigan Math. J. 52 (2004), 515--542; [pdf-file].
      (Secants, tangents and the homogeneity of Freudenthal varieties (with O. Yasukura); unpublished, Preprint 2002/08/07 (revised version) [pdf-file]; IMPA Preprint Server, Serie A 2001/29, Preprint 2001/03/28 [dvi-file]).
  12. On the duals of Segre varieties, Geometriae Dedicata 99 (2003), 221--229 [pdf-file].
  13. Secant varieties of adjoint varieties: orbit decomposition (with O. Yasukura), J. Algebra227 (2000), 26--44.
  14. Tangent loci and certain linear sections of adjoint varieties (with O. Yasukura), Nagoya Math. J.158 (2000), 63--72.
  15. Secant varieties of adjoint varieties, Matem\'{a}tica Contempor\^{a}nea 14 (1998), 75--87.
  16. Homogeneous projective varieties with degenerate secants, Trans. Amer. Math. Soc. 351 (1999), 533--545.
  17. Adjoint varieties and their secant varieties (with M. Ohno, O. Yasukura), Indagationes Mathematicae 10 (1999), 45--57.
  18. On the generic injectivity of the Gauss map in positive chatacteristic (with A. Noma), J. Reine Angew. Math. 482 (1997), 215--224.
  19. On the space curves with the same dual variety, J. Reine Angew. Math. 437 (1993), 1--11
  20. On the space curves with the same image under the Gauss map, Manuscripta Math. 80 (1993), 249--258.
  21. On the inseparable degrees of the Gauss map and the projection of the conormal variety to the dual of higher order for space curves, Math. Ann. 292 (1992), 529--532.
  22. Strangeness of higher order for space curves, Comm. Algebra 20 (1992), 1535--1548.
  23. On the inseparable degree of the Gauss map of higher order for space curves (with M.Homma), Proc. Japan Acad. 68 Ser. A Math. Sci. (1992), 11--14.
  24. Characterization of space curves with inseparable Gauss maps in extremal cases, Arch. Math. (Basel) 58 (1992), 539--546.
  25. On the Gauss maps of space curves in characteristic p, II, Compositio Math. 78 (1991), 261--269
  26. On the Gauss maps of space curves in characteristic p, Compositio Math. 70 (1989), 177--197.
  27. Examples of σ-transition matrices defining the Horrocks-Mumford bundle, Tokyo J. Math. 12 (1989), 21--32.
  28. On the vector bundles whose endomorphisms yield Azumaya algebras of cyclic type, J. Algebra 117 (1988), 297--326.
  29. On tangentially non-degenerate plane curves (with S.Arima), Bull. Sci. Engrg. Res. Lab. Waseda Univ. 111 (1985), 43--43.
  30. On the tangentially degenerate curves, J. London Math. Soc. (2) 33, (1986), 430--440.
  31. On the normal bundles of rational space curves, Math. Ann. 273 (1985), 163--176.