Dividing lines among fields
| dc.creator | Montenegro Guzmán, Samaria | |
| dc.date.accessioned | 2025-09-30T15:05:44Z | |
| dc.date.issued | 2025-09-18 | |
| dc.description.abstract | In this article we will discuss some results on the classification of stable, simple, and NIP fields from the perspective of model theory. Additionally, we will explore recent work by Silvain Rideau-Kikuchi and the author, where a general class of fields (pseudo $I$-closed fields) was constructed providing new examples of NTP$_2$ fields. These fields satisfy a \emph{local-global} principle for the existence of points on varieties with respect to models of certain theories. Finally, we will address open questions and outline future research directions | |
| dc.description.procedence | UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA) | |
| dc.description.procedence | UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática | |
| dc.identifier.citation | https://link.springer.com/book/9783031978562#affiliations | |
| dc.identifier.codproyecto | 821-C0464 | |
| dc.identifier.isbn | 978-3-031-97857-9 | |
| dc.identifier.uri | https://hdl.handle.net/10669/102893 | |
| dc.language.iso | eng | |
| dc.rights | acceso restringido | |
| dc.source | Springer | |
| dc.subject | Women in Mathematics Latin America | |
| dc.subject | matemáticas | |
| dc.title | Dividing lines among fields | |
| dc.type | capítulo de libro |