[图书][B] Algebroid curves in positive characteristics
A Campillo - 2006 - books.google.com
2006•books.google.com
A number of definitions of equisingularity have appeared, since Zariski published his"
Studies in Equisingularity". Those definitions are equivalent in the particular case of plane
algebroid curves over an algebraically closed field of characteristic zero (the situation that
Zariski considered initially). However the case of characteristic> 0 has not received
extensive attention and P only a few papers are available: Lejeune (15), Moh (18), and more
recently Angermüller (3). These notes intend to give a systematic development of the theory …
Studies in Equisingularity". Those definitions are equivalent in the particular case of plane
algebroid curves over an algebraically closed field of characteristic zero (the situation that
Zariski considered initially). However the case of characteristic> 0 has not received
extensive attention and P only a few papers are available: Lejeune (15), Moh (18), and more
recently Angermüller (3). These notes intend to give a systematic development of the theory …
A number of definitions of equisingularity have appeared, since Zariski published his" Studies in Equisingularity". Those definitions are equivalent in the particular case of plane algebroid curves over an algebraically closed field of characteristic zero (the situation that Zariski considered initially). However the case of characteristic> 0 has not received extensive attention and P only a few papers are available: Lejeune (15), Moh (18), and more recently Angermüller (3).
These notes intend to give a systematic development of the theory of equisingularity of irreducible algebroid curves over an algebraically closed field of arbitrary characteristic, using as main tool the Hamburger-Noether expansion instead of the Puiseux expansion. which is usually employed in characteristic zero.
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