Pullback method with applications to Severi–Brauer fibrations

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dc.contributor.authorBiswas, Mridulen_US
dc.contributor.authorRAMACHANDRAN, DIVYASREE C.en_US
dc.contributor.authorSAMANTA, BISWANATHen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2026-04-01T06:41:04Z
dc.date.available2026-04-01T06:41:04Z
dc.date.issued2026-03en_US
dc.description.abstractGiven a variety with a suitable Brauer class, we present a general pullback construction that produces varieties that has Brauer–Manin obstruction to the existence of rational points. We then study Severi–Brauer fibrations and their Brauer groups without relying on explicit defining equations. As a key application, we show that there exist Severi–Brauer fibrations with index one that fails Hasse principle.en_US
dc.identifier.citationInternational Journal of Number Theoryen_US
dc.identifier.issn1793-0421en_US
dc.identifier.issn1793-7310en_US
dc.identifier.sourcetitleInternational Journal of Number Theoryen_US
dc.identifier.urihttps://doi.org/10.1142/S1793042126500764
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10774
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherWorld Scientific Publishingen_US
dc.subjectRational pointsen_US
dc.subjectPullback methoden_US
dc.subjectBrauer–Manin obstructionen_US
dc.subjectSeveri–Brauer fibrationen_US
dc.subjectIndex oneen_US
dc.subject2026-MAR-WEEK4en_US
dc.subjectTOC-MAR-2026en_US
dc.subject2026en_US
dc.titlePullback method with applications to Severi–Brauer fibrationsen_US
dc.typeArticleen_US

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