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Hironaka’s additive group schemes

Published online by Cambridge University Press:  22 January 2016

Hiroyuki Mizutani
Hiroyuki Mizutani*
Affiliation:
Tokyo-Shibaura Electric, Inc.
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In [1] and [2], Hironaka referred to the importance of an additive group scheme BPn,P, which is associated with a point p in Pn, in connection with the resolution of singularities in characteristic p > 0. Also he showed that if the dimension of BPn,p is not greater than p, then it is a vector group.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 52 , December 1973 , pp. 85 - 95
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

[1] Hironaka, H., Certain numerical characters of singularities, J. Math. Kyoto Univ., 10 (1970), 151–187.Google Scholar
[2] Hironaka, H., Additive groups associated with points of a projective space, Ann. of Math., 92 (1970), 327–334.CrossRefGoogle Scholar
[3] Oda, T., Hironaka’s additive group scheme, A volume dedicated to Prof. Y. Akizuki’s 70th birthday.Google Scholar