Preprints by Goo Ishikawa
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[SS]
G Ishikawa, S. Janeczko,
Symplectic singularities of differentiable mappings, (submitted).
The first draft
[Zero]
G Ishikawa, S. Janeczko,
Singular mappings and their zero-forms, (submitted).
The first draft
[Cofrontal]
Goo Ishikawa, Cofrontals,
REVUE ROUMAINE DE MATH{\' E}MATIQUES PURES ET APPLIQU{\' E}ES,
Vol. 60--4 (2019), 461--478.
Proceedings of Australian-Japanese Real and Complex Singularities Workshop VII.
(accepted on 28 Jan. 2019).
The first draft: arXiv:1811.01521 [math.DG]
A draft with figures, 2018.11.23-version.
Open access to Revue...
[Recog]
Goo Ishikawa,
Recognition Problem of Frontal Singularities, (submitted,
provisionally accepted on 24 August 2018. )
The first draft (v2): arXiv:1808.09594 [math.DG]
The revised draft with figures, 2019.12.24-version.
[IKTY]
Goo Ishikawa, Yumiko Kitagawa, Asahi Tsuchida, Wataru Yukuno,
Duality of (2,3,5)-distributions and Lagrangian cone
structures,
to appear in Nagoya Mathematical Journal.
[62]
The first draft: arXiv:1808.00149 [math.DG]
[IYa4]
Goo Ishikawa, Tatsuya Yamashita,
Singularities of tangent surfaces to directed curves, (submitted), accepted on 18 July 2017.
[59]
The first draft: arXiv: 1607.08702 [math.DG]
The draft with figures and abstract, 2016.8.1-version.
(This paper is a second half of the unpublished paper [IYa] which is divided into two shorter papers, the paper [IYa3] and
the this paper [IYa4].)
[Frontal]
Goo Ishikawa, Singularities of frontals. (submitted), accepted on on 26 June 2017.
[58]
A draft with figures and an epigram, 2016.6.7-version.
[JI]
G. Ishikawa, S. Janeczko,
Residual algebraic restrictions of differential forms, (February 2016, submitted; October 2016, accepted,
[57]
).
[IYu]
Goo Ishikawa, Wataru Yukuno,
Dependence of vector fields and singular controls, (submitted).
The first draft: arXiv:1602.02465 [math.DG]
[IYa3]
Goo Ishikawa, Tatsuya Yamashita,
Singularities of tangent surfaces to generic space curves, (submitted).
The first draft: arXiv:1602.02458 [math.DG]
(This paper is derived as the main extract of the results in an unpublished preprint [IYa]).
(accepted,
[56]
).
[IYa2]
Goo Ishikawa, Tatsuya Yamashita,
Leibniz complexity of Nash functions on differentiations, (submitted).
Accepted 10 March 2018.
[60]
The final draft: arXiv:1509.08261 [math.AG]
[IYa]
Goo Ishikawa, Tatsuya Yamashita,
Affine connections and singularities of tangent surfaces to space curves. (unpublished).
The first draft: arXiv:1501.07341 [math.DG]
(The authors have decided to divide the preprint into two and submit them each again and try to publish both of them.
[IYa3] is the first part of them.)
[MI]:
(with Y. Machida),
Monge-Amp\`ere systems with Lagrangian pair. (submitted).
(accepted,
[54]
).
[MIT-D_n]
G. Ishikawa, Y. Machida, M. Takahashi,
D_n-geometry and singularities of tangent surfaces (submitted). (2014)
(accepted,
[51]
).
[IKY2]
G. Ishikawa, Y. Kitagawa, W. Yukuno,
Duality on geodesics of Cartan distributions
and sub-Riemannian pseudo-product structures (submitted) (2014).
(accepted,
[50]
).
The first draft: arXiv math.DG 1403.5863
[MIT-D_4]
G. Ishikawa, Y. Machida, M. Takahashi,
Geometry of D_4 conformal triality
and singularities of tangent surfaces (submitted). (2014)
(accepted,
[53]
).
Hokkaido University Preprint Series in Mathematics #1051,
[IKY1]
G. Ishikawa, Y. Kitagawa, W. Yukuno,
Duality of singular paths for (2,3,5)-distributions.
(accepted
[49]
)
The first draft: arXiv math.DG 1308.2501
[MIT-G_2]
G. Ishikawa, Y. Machida, M. Takahashi,
Singularities of tangent surfaces in Cartan's split G2-geometry, preprint (submitted). (2012)
(accepted,
[52]
).
Hokkaido University Preprint Series in Mathematics #1020,
[open-unfold]
G. Ishikawa,
Openings of differentiable map-germs and unfoldings,
preprint (2012),
(accepted,
[48]
).
Hokkaido University Preprint Series in Mathematics #1016,
[tangent-open]
G. Ishikawa,
Tangent varieties and openings of map-germs,
preprint (2012)
(accepted,
[47]
).
Hokkaido University Preprint Series in Mathematics #1015,
[topdiff]:
Topology and Differentiable Structure of a Mapping Space Quotient. In preparation.
[flagged]: Generic Bifurcations of Flagged Curves
and Their Tangent Developables. In preparation.
[Ctiso]:
Classifying singular Legendre knots
by contact isotopy. In preparation.
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