Resumen: We prove that the property of existence of solution to the Strominger system in dimension six is neither open nor closed under holomorphic deformations of the complex structure. These results are obtained both in the case of positive slope parameter as well as in the case of negative slope parameter in the anomaly cancellation equation. Idioma: Inglés DOI: 10.1007/s12220-018-0023-5 Año: 2019 Publicado en: JOURNAL OF GEOMETRIC ANALYSIS 29, 1 (2019), 917-935 ISSN: 1050-6926 Factor impacto JCR: 0.924 (2019) Categ. JCR: MATHEMATICS rank: 130 / 323 = 0.402 (2019) - Q2 - T2 Factor impacto SCIMAGO: 1.662 - Geometry and Topology (Q1)