Timeline for Hypersurface with singularities
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Feb 17, 2015 at 21:13 | history | bounty ended | CommunityBot | ||
| S Feb 17, 2015 at 21:13 | history | notice removed | CommunityBot | ||
| Feb 14, 2015 at 21:51 | comment | added | Nikita Kalinin | the question is opposite. One has no intention to study a (particulary defined) variety which are singular (by coincidence). One wants to prove that for a given set of singularities (some number of triple points and double lines) there is no a hypersurface. These are quite different questions. One concerns (particular, though numerous)examples, the other concerns about existence. | |
| Feb 14, 2015 at 14:20 | comment | added | IBazhov | I invite you to look into mathnet.or.kr/mathnet/kms_tex/973054.pdf for introduction and into sciencedirect.com/science/article/pii/S0001870804003482 for developments. See also mathsci.kaist.ac.kr/asarc/kwak/paper/smooth.pdf and dm.unipi.it/~depoi/pubblicazioni/pietro.pdf. | |
| Feb 14, 2015 at 14:20 | comment | added | IBazhov | Such kind of varieties can arise in the following context. Let $X\subset \mathbb P^4$ be a surface. Let $S_3$ be a corresponding 3-secant variety and $I_3$ be incidence variety. Due to Severy, the degree $\delta$ of $I_3\to S_3$ is the number apparent triple points of $X$, i.e., the number of triple points of hypersurface $\pi(X)$, where $\pi:\mathbb P^4\to\mathbb P^3$ a projection from a point. | |
| Feb 14, 2015 at 10:13 | comment | added | Nikita Kalinin | 1) I don't remember. 2) No, I guess. That is about existence of a variety, how would this be related to secant varieties? | |
| Feb 13, 2015 at 12:54 | comment | added | IBazhov | Should it be of dimension 2? Does this question related with 3-secant varieties? | |
| S Feb 9, 2015 at 20:10 | history | bounty started | Nikita Kalinin | ||
| S Feb 9, 2015 at 20:10 | history | notice added | Nikita Kalinin | Authoritative reference needed | |
| Feb 1, 2015 at 17:14 | history | asked | Nikita Kalinin | CC BY-SA 3.0 |