On the geometry of varieties of invertible symmetric and skew-symmetric matrices

DOI10.2140/pjm.1997.180.89zbMath0885.14008OpenAlexW2122875942MaRDI QIDQ1816532

Oliver Jones

Publication date: 15 December 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu:8000/PacJ/1997/v180no1.html

zbMATH Keywords

Euler characteristichomotopy typeinvariantHodge filtrationweight filtrationBetti numbersmixed Hodge structureGrassmann varietynumber of rational pointscomplex algebraic varietyweight polynomial

Mathematics Subject Classification ID

Rational points (14G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Variation of Hodge structures (algebro-geometric aspects) (14D07) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Homotopy theory and fundamental groups in algebraic geometry (14F35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Topological properties in algebraic geometry (14F45)

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