OurBigBook About$ Donate
 Sign in Sign up

Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 139 / 3 / v / b

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2018 iii Paper 139 3 v
2026-10-03  0 By others on same topic  0 Discussions Create my own version
  • Table of contents
    • Solution b

Solution

 0  0
b
Condition (b) immediately implies (c): a positive real multiple tA of an ample divisor is an ample real divisor, and real linear equivalence of divisors implies numerical equivalence of divisors.
More explicitly, the real numerical class of D is the sum of a class in the ample cone and an effective real divisor class. This separates strict positivity from the possibly degenerate effective part; it does not claim that the effective part itself is ample.

 Ancestors (11)

  1. v
  2. 3
  3. Paper 139
  4. iii
  5. 2018
  6. Past exam of the mathematics course of the University of Cambridge
  7. Mathematics course of the University of Cambridge
  8. Course of the University of Cambridge
  9. University of Cambridge
  10. List of universities
  11.  Home

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook