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Ample Cartier divisors on normal surfaces. is a Mathematics article available to read on EtoBox.
What is Ample Cartier divisors on normal surfaces. about?
By a polarized normal surface we mean a pair (Y 9 H) of a normal projective surface over C and an ample Cartier divisor H on it. Define a graded ring: Let κ = κ (K γ + H, Y\ which is by defmition tr.deg. c jR -l or -oo in case R^C. To state the structure theorem, we introduce an example. Let F e = P((Pp>i®&ipi(-e)) and suppose e^ 2. Let n:F e -\*Y e be the contraction of the base section b, a (-e)-curve, and let / denote the image of a fibre/on F e . Then π\*/=/+-fr and 6. It turns out that H e = el is an ample Cartier divisor on y e and we have We shall prove the following two structure theorems.
Who reads Ample Cartier divisors on normal surfaces.?
It is typically read by researchers, students, and practitioners in Mathematics.
- Published
- 1986
- Language
- EN
- Field
- Mathematics (Physical Sciences)