Abstract
AbstractFor a regular del Pezzo surface X, we prove that $$|-12K_X|$$
|
-
12
K
X
|
is very ample. Furthermore, we also give an explicit upper bound for the volume $$K_X^2$$
K
X
2
which depends only on $$[k: k^p]$$
[
k
:
k
p
]
for the base field k. As a consequence, we obtain the boundedness of geometrically integral regular del Pezzo surfaces.
Publisher
Springer Science and Business Media LLC