The Hochschild cohomology of the algebra of differential operators tangent to a central arrangement of lines
Given a central arrangement of lines A in a 2-dimensional vector space V over a field of characteristic zero, we study the algebra D (A) of differential operators on V which are logarithmic along A. Among other things we determine the Hochschild cohomology of D (A) as a Gerstenhaber algebra, establi...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/215003 |
| Acceso en línea: | http://hdl.handle.net/11336/215003 |
| Access Level: | acceso abierto |
| Palabra clave: | ARRANGEMENT OF HYPERPLANES DIFFERENTIAL OPERATORS HOCHSCHILD COHOMOLOGY https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Given a central arrangement of lines A in a 2-dimensional vector space V over a field of characteristic zero, we study the algebra D (A) of differential operators on V which are logarithmic along A. Among other things we determine the Hochschild cohomology of D (A) as a Gerstenhaber algebra, establish a connection between that cohomology and the de Rham cohomology of the complement M(A) of the arrangement, determine the isomorphism group of D (A) and classify the algebras of that form up to isomorphism. |
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