Birational geometry for number theorists
| dc.creator | Abramovich, Dan | |
| dc.date | 2007-01-03 | |
| dc.date | 2007-02-25 | |
| dc.date.accessioned | 2026-07-07T07:48:21Z | |
| dc.date.available | 2026-07-07T07:48:21Z | |
| dc.description | Awfully idiosyncratic lecture notes from CMI summer school in arithmetic geometry July 31-August 4, 2006. Does not include: rationality problems, techniques of the minimal model problem and much of the rest. Includes: Lecture 0: geometry and arithmetic of curves Lecture 1: Kodaira dimension and properties, rational connectendess, Lang's and Campana's conjectures. Lecture 2: Campana's program; Campana constellations framed in terms of b-divisors, to allow for a definition of Kodaira dimension directly on the base. A speculative notion of firmaments which may deserve further investigation, especially the arithmetic side. Lecture 3: the minimal model program: very short discussion of bend-and-break; even shorter discussion of finite generation and the existence of flip. Lecture 4: Vojta's conjectures, Campana's conjectures, and ABC. | |
| dc.description | CMI summer school in arithmetic geometry, Gottingen, 2006. Numerous corrections following referee's report | |
| dc.identifier | https://arxiv.org/abs/math/0701105 | |
| dc.identifier | http://arxiv.org/abs/math/0701105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124471 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14J10;14G25;14E30;11G35 | |
| dc.title | Birational geometry for number theorists | |
| dc.type | text |