index 267
Vallino, M., 221
valuation
Archimedean, 17
lying above another, 17
non-Archimedean, 17
variety, 2
Fano, 2, 4, 6, 9, 37, 38, 40, 41, 43, 44, 46,
47, 58, 59, 61, 165, 185, 186, 188, 205
almost, 66
of general type, 2, 37–40, 166, 195, 196
of intermediate type, 2, 37, 38, 41, 87, 88
toric, 78, 79
Vaughan, R. C., 63
Velaso, M., 64
Vistoli, A., 107
Vojta, P., 42
Voloch, J. F., 39
weak approximation, 5, 8, 10, 61, 122, 125,
145
Brauer–Manin obstruction to, 10, 125,
140, 141, 145, 148
counterexample to, 5
weak Del Pezzo surface, 66, 67, 79
weak Lefschetz theorem, 189
Weil, A., 6, 168
Weil conjectures, 58, 168, 189
for curves, 168, 176
Weyl, H., 62
writing, 176–178, 180, 182, 200
Yoneda’s lemma, 126
Zak’s theorem, 195
Zhang, S., 33
Zorn’s Lemma, 126
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