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Research Output 1985 2018

  • 123 Citations
  • 6 h-Index
  • 24 Article
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Article
2018
1 Citation (Scopus)

Higher Gauss maps of Veronese varieties—A generalization of Boole’s formula and degree bounds for higher Gauss map images

Kaji, H., 2018 Feb 27, (Accepted/In press) In : Communications in Algebra. p. 1-15 15 p.

Research output: Contribution to journalArticle

Gauss Map
Projective Variety
Closed
Generalization
2015
1 Citation (Scopus)

Degree formula for Grassmann bundles

Kaji, H. & Terasoma, T., 2015 Dec 1, In : Journal of Pure and Applied Algebra. 219, 12, p. 5426-5428 3 p.

Research output: Contribution to journalArticle

Bundle
Schur Polynomials
Chern Classes
Projective Variety
Line Bundle
1 Citation (Scopus)

On the tangentially degenerate curves, II

Kaji, H., 2015, In : Bulletin of the Brazilian Mathematical Society. 45, 4, p. 745-752 8 p.

Research output: Contribution to journalArticle

P-point
Curve
Positive Characteristic
Tangent line
Counterexample
2010
4 Citations (Scopus)

Any algebraic variety in positive characteristic admits a projective model with an inseparable Gauss map

Fukasawa, S. & Kaji, H., 2010 Mar, In : Journal of Pure and Applied Algebra. 214, 3, p. 297-300 4 p.

Research output: Contribution to journalArticle

Gauss Map
Positive Characteristic
Algebraic Variety
Projective Space
Zero
1 Citation (Scopus)

Projective varieties admitting an embedding with Gauss map of rank zero

Fukasawa, S., Furukawa, K. & Kaji, H., 2010 Aug, In : Advances in Mathematics. 224, 6, p. 2645-2661 17 p.

Research output: Contribution to journalArticle

Gauss Map
Rational Curves
Projective Variety
Hypersurface
Zero
2009
2 Citations (Scopus)

The separability of the Gauss map versus the reflexivity

Kaji, H., 2009 Apr, In : Geometriae Dedicata. 139, 1, p. 75-82 8 p.

Research output: Contribution to journalArticle

Gauss Map
Reflexivity
Projective Variety
Separability
Tangent Space
2008
5 Citations (Scopus)

Existence of a non-reflexive embedding with birational Gauss map for a projective variety

Fukasawa, S. & Kaji, H., 2008 Oct, In : Mathematische Nachrichten. 281, 10, p. 1412-1417 6 p.

Research output: Contribution to journalArticle

Birational Maps
Gauss Map
Projective Variety
Reflexivity
Smoothness

The reflexivity of a Segre product of projective varieties

Fukasawa, S. & Kaji, H., 2008 Oct, In : Mathematische Annalen. 342, 2, p. 279-289 11 p.

Research output: Contribution to journalArticle

Gauss Map
Reflexivity
Projective Variety
Projective Space
Relationships
2007
6 Citations (Scopus)

The separability of the Gauss map and the reflexivity for a projective surface

Fukasawa, S. & Kaji, H., 2007 Aug, In : Mathematische Zeitschrift. 256, 4, p. 699-703 5 p.

Research output: Contribution to journalArticle

Gauss Map
Reflexivity
Separability
Converse
Tangent Space
2004
5 Citations (Scopus)

Projective geometry of Freudenthal's varieties of certain type

Kaji, H. & Yasukura, O., 2004, In : Michigan Mathematical Journal. 52, 3, p. 515-542 28 p.

Research output: Contribution to journalArticle

Projective geometry
2003
9 Citations (Scopus)

On the Duals of Segre Varieties

Kaji, H., 2003 Jun, In : Geometriae Dedicata. 99, 1, p. 221-229 9 p.

Research output: Contribution to journalArticle

Segre Variety
Gauss Map
Projective Space
Reflexivity
Projective Variety
2000
4 Citations (Scopus)

Secant varieties of adjoint varieties: Orbit decomposition

Kaji, H. & Yasukura, O., 2000 May 1, In : Journal of Algebra. 227, 1, p. 26-44 19 p.

Research output: Contribution to journalArticle

Secant Varieties
Orbit
Decompose
1 Citation (Scopus)

Tangent loci and certain linear sections of adjoint varieties

Kaji, H. & Yasukura, O., 2000 Jun, In : Nagoya Mathematical Journal. 158, p. 63-72 10 p.

Research output: Contribution to journalArticle

Nilpotent Orbits
Simple Lie Algebra
Projective Variety
Tangent line
Locus
1999
9 Citations (Scopus)

Adjoint varieties and their secant varieties

Kaji, H., Ohno, M. & Yasukura, O., 1999 Mar 29, In : Indagationes Mathematicae. 10, 1, p. 45-57 13 p.

Research output: Contribution to journalArticle

Secant Varieties
Quadratic equation
Tangent Space
Simple Lie Algebra
Locus
10 Citations (Scopus)

Homogeneous projective varieties with degenerate secants

Kaji, H., 1999, In : Transactions of the American Mathematical Society. 351, 2, p. 533-545 13 p.

Research output: Contribution to journalArticle

Projective Variety
Chord or secant line
Secant Varieties
Algebraic Groups
Simple group
1993
2 Citations (Scopus)

On the space curves with the same dual variety

Kaji, H., 1993, In : Journal fur die Reine und Angewandte Mathematik. 1993, 437, p. 1-12 12 p.

Research output: Contribution to journalArticle

Space Curve
1 Citation (Scopus)

On the space curves with the same image under the gauss maps

Kaji, H., 1993 Dec, In : Manuscripta Mathematica. 80, 1, p. 249-258 10 p.

Research output: Contribution to journalArticle

Gauss Map
Space Curve
Curve
G-manifolds
Line
1992
3 Citations (Scopus)

Characterization of space curves with inseparable Gauss maps in extremal cases

Kaji, H., 1992 Jun, In : Archiv der Mathematik. 58, 6, p. 539-546 8 p.

Research output: Contribution to journalArticle

Gauss Map
Space Curve
12 Citations (Scopus)
Gauss Map
Space Curve
Projection
Higher Order
5 Citations (Scopus)

Strangeness of higher order for space curves

Kaji, H., 1992 Jan 1, In : Communications in Algebra. 20, 6, p. 1535-1548 14 p.

Research output: Contribution to journalArticle

Space Curve
Higher Order
1989
3 Citations (Scopus)

Example of σ-transition matrices defining the horrocks-mumford bundle

Kaji, H., 1989, In : Tokyo Journal of Mathematics. 12, 1, p. 21-32 12 p.

Research output: Contribution to journalArticle

Transition Matrix
Bundle
1988

On the vector bundles whose endomorphisms yield Azumaya algebras of cyclic type

Kaji, H., 1988, In : Journal of Algebra. 117, 2, p. 297-326 30 p.

Research output: Contribution to journalArticle

Azumaya Algebra
Endomorphisms
Vector Bundle
1986
32 Citations (Scopus)

On the tangentially degenerate curves

Kaji, H., 1986, In : Journal of the London Mathematical Society. s2-33, 3, p. 430-440 11 p.

Research output: Contribution to journalArticle

Curve
1985
6 Citations (Scopus)

On the normal bundles of rational space curves

Kaji, H., 1985 Mar, In : Mathematische Annalen. 273, 1, p. 163-176 14 p.

Research output: Contribution to journalArticle

Normal Bundle
Space Curve
Rational Curves