Fujita hypothesis and birational models in algebraic geometry
| dc.contributor.author | Kunanbaev A. | |
| dc.date.accessioned | 2025-06-12T04:18:45Z | |
| dc.date.available | 2025-06-12T04:18:45Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | The aim of mv research is to study Fujita hypotheses. which states that if is a smooth projektive varvety of dimension n then: (i) Assume that XV. is.a minimal (i.c.. Ay is nef) varvety of general type.(ie., Ky is big == NY > 9). Then the linear system |nvAx| is free for m > n+ 2; (ii) Let A be an ample invertible sheaf on X. Then the linear system |mJvy + (n +1) Al is free. and JnKy + (n+ 2) Al is verv ample on Y, For surfaces Fujita hypotheses was proved by Igor Reider. In my work I generalize result for X not be a sinooth projektive varyety but F-rational. So if Fujita hypotheses is true for a smooth projektive varyety then it is true for more general case F-rational. I use methods of commutative algebra and definition of tight closure. | |
| dc.identifier.citation | Kunanbaev A / Fujita hypothesis and birational models in algebraic geometry / 6M060100 - Department of Mathematics and Natural sciences / 2019 | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/1755 | |
| dc.language.iso | en | |
| dc.publisher | Faculty of Engineering and Natural Sciences | |
| dc.subject | Fujita hypothesis | |
| dc.subject | algebra | |
| dc.subject | geometry | |
| dc.title | Fujita hypothesis and birational models in algebraic geometry | |
| dc.type | Thesis |