000165697 001__ 165697 000165697 005__ 20260113234334.0 000165697 0247_ $$2doi$$a10.1023/A:1005236308351 000165697 0248_ $$2sideral$$a147309 000165697 037__ $$aART-2000-147309 000165697 041__ $$aeng 000165697 100__ $$0(orcid)0000-0003-2207-8653$$aUgarte, Luis$$uUniversidad de Zaragoza 000165697 245__ $$aHodge numbers of a hypothetical complex structure on the six sphere 000165697 260__ $$c2000 000165697 5060_ $$aAccess copy available to the general public$$fUnrestricted 000165697 5203_ $$aWe prove that the terms E_r^p,q(S^6) in the Frölicher spectral sequence associated to any hypothetical complex structure on S^6 would satisfy Serre duality. It is also shown that the vanishing of the Dolbeault cohomology group H1,1(S6) ensures the existence of a holomorphic 2-form on S6 living even in E_2^2,0(S^6), which in particular implies the nondegeneration of Frölicher's sequence at the second level. 000165697 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000165697 590__ $$a0.268$$b2000 000165697 591__ $$aMATHEMATICS$$b115 / 156 = 0.737$$c2000$$dQ3$$eT3 000165697 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000165697 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000165697 773__ $$g81 (2000), 173-179$$pGeom. dedic.$$tGEOMETRIAE DEDICATA$$x0046-5755 000165697 8564_ $$s88318$$uhttps://zaguan.unizar.es/record/165697/files/texto_completo.pdf$$yVersión publicada 000165697 8564_ $$s1588923$$uhttps://zaguan.unizar.es/record/165697/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000165697 909CO $$ooai:zaguan.unizar.es:165697$$particulos$$pdriver 000165697 951__ $$a2026-01-13-22:06:12 000165697 980__ $$aARTICLE