Timeline for projectivity with assumption of big and semi-amplness
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 27, 2016 at 13:19 | comment | added | Lazzaro Campeotti | @Henri: oops, I totally forgot about the Kaehler part. I guess I got too excited about working out my example! | |
| May 27, 2016 at 13:15 | comment | added | Henri | If $X$ admits a big line bundle, then it is Moishezon. Moreover, a compact Moishezon manifold that admits a Kähler metric is projective. | |
| May 27, 2016 at 12:02 | answer | added | Lazzaro Campeotti | timeline score: 7 | |
| May 27, 2016 at 10:42 | comment | added | Jason Starr | I believe that is not true. My recollection is that there exists a projective Calabi-Yau threefold $Y$ and a collection of smooth, disjoint rational curve $C_i\cong \mathbb{P}^1$ with normal bundle $\mathcal{O}(-1)^{\oplus 2}$ such that the "flop" $X'$ of all of these curves is projective, yet the "flop" $X$ of some proper subset is a non-projective algebraic space. Defining $D$ to be the pullback of an ample divisor from the contraction of all curves $C_i$ should give a counterexample. | |
| May 27, 2016 at 9:45 | review | First posts | |||
| May 27, 2016 at 9:47 | |||||
| May 27, 2016 at 9:45 | history | asked | pickasa | CC BY-SA 3.0 |