Index
Abhyankar, 12, 28, 42, 45, 130, 131,
153, 157, 158, 160
Abramovich, 9
Albanese, 55
approximate manifold, 106
Atiyah, viii
Bierstone, 61
Bravo, 61
Cano, 13
Chevalley, 24
Cohen, 22
completion of the square, 24
Cossart, 131
curve, 2
de Jong, 61, 131
derivations
Hasse-Schmidt, 171
higher, 171
Eisenbud, viii
Encinas, 61
exceptional divisor, 20, 39, 40
exceptional locus, 39, 40
Giraud, 70
Harris, viii
Hartshorne, viii, 2
Hauser, 13, 61, 132
Heinzer, 13, 157
Hensel's Lemma, 23
Hironaka, 2, 15, 61, 62, 130
hypersurface, 2
intersection
reduced set-theoretic, 62
scheme-theoretic, 2, 62
isolated subgroup, 134
Jung, 55
Karu, 9
Kawasaki, 11
Kuhlmann, 13
Levi, 55
Lipman, 130
local uniformization, 12, 130, 138, 147, 156
Macaulayfication, 11
Macdonald, viii
MacLane, 137
Matsuki, 9
maximal contact
formal curve, 28
formal hypersurface, 177
hypersurface, 56, 67, 70, 131, 177
Milman, 61
Moh, 61
monoidal transform, 16, 39, 40
monomialization, 13, 157
morphism
birational, 9
monomial, 14
proper, 9
multiplicity, 3, 19, 25, 175
Nagata, 11
Narasimhan, 131
Newton, 1, 3, 6, 12
185
