Carregant...
Fitxers
Tipus de document
ArticleVersió
Versió publicadaData de publicació
Tots els drets reservats
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/124908
Rational cohomology tori
Títol de la revista
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
We study normal compact varieties in Fujiki's class $\mathcal{C}$ whose rational cohomology ring is isomorphic to that of a complex torus. We call them rational cohomology tori. We classify, up to dimension three, those with rational singularities. We then give constraints on the degree of the Albanese morphism and the number of simple factors of the Albanese variety for rational cohomology tori of general type (hence projective) with rational singularities. Their properties are related to the birational geometry of smooth projective varieties of general type, maximal Albanese dimension, and with vanishing holomorphic Euler characteristic. We finish with the construction of series of examples. In an appendix, we show that there are no smooth rational cohomology tori of general type. The key technical ingredient is a result of Popa and Schnell on 1-forms on smooth varieties of general type.
Matèries
Matèries (anglès)
Citació
Citació
DEBARRE, Olivier, JIANG, Zhi, LAHOZ VILALTA, Martí. Rational cohomology tori. _Geometry & Topology_. 2017. Vol. 21, núm. 2, pàgs. 1095-1130. [consulta: 25 de febrer de 2026]. ISSN: 1465-3060. [Disponible a: https://hdl.handle.net/2445/124908]