Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
[G1] J. Giraud, Etude locale des singularités, Cours de 3ème Cycle, Univ. de Paris XI, U. E. R. Math., 91-Orsay, No.26 (1971–72), (mimeographed).
[G2] J. Giraud, Contact maximal en caractéristique positive, Ann. Sci. Ecole Norm. Sup. (4) 8(1975), 201–234.
[H1] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, I, II, Ann. of Math. 79(1964), 109–326.
[H2] H. Hironaka, Additive groups associated with points of a projective space, Ann. of Math. 92(1970), 327–334.
[H3] H. Hironaka, Certain numerical characters of singularities, J. Math. Kyoto Univ. 10(1970), 151–187.
H. Mizutani, Hironaka’s additive group schemes, Nagoya Math. J. 52(1973), 85–95.
[O1] T. Oda, Hironaka’s additive group scheme, in Number Theory, Algebraic Geometry and Commutative Algebra in honor of Y. Akizuki (Y. Kusunoki et al., eds.), Kinokuniya, Tokyo, 1973, 181–219.
[O2] T. Oda, A versal family of Hironaka’s additive group schemes, Proc. Japan Acad. 58(A)(1982), 126–128.
[O3] T. Oda, Hironaka’s additive group scheme, II, to be submitted to Publ. Res. Inst. Math. Sci., Kyoto Univ.
[O4] T. Oda, Hironaka subgroup schemes and permissible blowing-ups, to appear.
P. Russel, On Hironaka’s additive groups associated with points in projective space, Math. Ann. 224(1976), 97–109.
[S1] M. Spivakovsky, A solution to Hironaka’s polyhedra game, to appear in Proc. Amer. Math. Soc.
[S2] M. Spivakovsky, A counterexample to Hironaka’s "hard" polyhedra game, to appear in Publ. Res. Inst. Math. Sci., Kyoto Univ. 18(1982).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Oda, T. (1983). Hironaka group schemes and resolution of singularities. In: Raynaud, M., Shioda, T. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1016. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099968
Download citation
DOI: https://doi.org/10.1007/BFb0099968
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12685-0
Online ISBN: 978-3-540-38676-6
eBook Packages: Springer Book Archive