264 index
hermitian line bundle, 6, 21–24, 46
continuous, 22
smooth, 22
hermitian metric, 21, 24–26, 32, 187
bounded, 27
continuous, 21, 27, 46, 188
smooth, 27
heuristic, 35
Hirzebruch, F., 189
Hochschild–Serre spectral sequence, 5, 83,
111, 130
hypersurface measure, 53, 227, 228
Ieronymou, E., 132
index
of central simple algebra, 84
induced
character, 213, 214
representation, 213, 214
inflation, 130, 131, 145, 151
intersection of two sets, 169
invariant map, 107
irrationality test for lines, 195, 196
Jacobi sum, 135, 190, 213
Janda, F., 80
K3 surface, 9, 41–43, 110, 115, 167, 196
Kanevsky, D., 9, 61, 122, 146–148, 206,
220, 234
Kelvin, W. Thomson 1st Baron, 35
Khayyám, O., 83
Kodaira classification, 37, 196
Kodaira dimension, 196
Kresch, A., 107
Kummer pairing, 214
Kummer sequence, 45, 100, 108, 109, 112
Kummer surface, 41
L-function, vii, 51, 166, 207, 208, 216–219,
222, 231, 236
L1 cache, 178, 179, 182
L2 cache, 179, 182
l3-unit sphere, 228
Laface, A., 64
Lang’s conjecture, 2, 6, 37–39, 166, 196
geometric, 38
strong, 38
weak, 38, 40
Lang, S., 2, 6, 37–40, 166, 196
Langian exceptional set, 38, 39
Larsen, K., 15
lattice basis reduction, 142
Le Boudec, P., 66
Lebesgue measure, 47
Lefschetz hyperplane theorem, 110
Lefschetz theorem on (1, 1)-classes, 109
Lefschetz trace formula, 57, 211, 213
Legendre’s theorem, 3, 205
Legendre, A.-M., 3, 205
lemma
of Hensel, 2, 52, 94–96, 102, 124, 133,
137, 153, 157, 173, 235
of Wedderburn and Brauer, 84
of Yoneda, 126
of Zorn, 126
Leray measure, 53, 55, 60, 62, 187, 188,
209, 227, 229
Lichtenbaum, S., 113
theorem of, 113
Lichtenbaum duality, 113, 160
Lichtin, B., 80
Lind, C.-E., 4, 5, 122
line, 1, 2, 8, 36, 37, 39, 43, 48–50, 133,
136–140, 143, 144, 146, 148, 153, 186,
194–200
non-obvious, 10, 39, 196, 200
obvious, 9, 39, 194, 196
sporadic, 10, 39, 196, 200
–s, 27 on cubic surface, see 27 lines on
cubic surface
linear probing, 171
linear subspace, 186
Linnik’s theorem, 233
Littlewood, J. E., 3
local evaluation map, 123, 147, 152
local measure, 52
log-factor, 3, 47
Loughran, D., 66
Lovasz, L., 50
Maclagan-Wedderburn, J. H., 84
magma, 161
Manin, Yu. I., 3, 4, 8, 33, 40, 47, 67, 77, 78,
113, 117, 123, 132, 219, 220
Manin map, 7, 123, 129, 152
Manin’s conjecture, 3, 6, 38, 46, 47, 63, 65,
67, 165, 185–188, 197, 201, 202, 205
Manin’s formula, 113
Manin–Peyre conjecture, 59, 61, 66, 67, 202
maple, 136
Maxwell, J. C., 119
McKinnon, D., 41
Mellin transform, 217
memory architecture, 178
Mergesort, 180
metric, 26
bounded, 27
continuous, 27
induced by a model, 26
Milne, J., vii, 63, 83
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