Hochster's theta invariant and the Hodge-Riemann bilinear relations

DOI10.1016/j.aim.2010.09.005zbMath1221.13027arXiv0910.1289OpenAlexW2110824934MaRDI QIDQ616900

Greg Piepmeyer, Mark E. Walker, Sandra Spiroff, W. Frank Moore

Publication date: 12 January 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1289

zbMATH Keywords

Hilbert seriesétale cohomologyChern characterisolated hypersurface singularitysingular cohomologyHochster's theta invariantHodge-Riemann bilinear relationsTor-rigidity

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Riemann-Roch theorems, Chern characters (19L10)

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Chern characters for twisted matrix factorizations and the vanishing of the higher Herbrand difference ⋮ On a conjecture of Dao-Kurano ⋮ Adams operations on matrix factorizations ⋮ The vanishing of a higher codimension analogue of Hochster's theta invariant ⋮ Hochster's theta pairing and algebraic equivalence ⋮ On invariants of complete intersections ⋮ Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations ⋮ Homogeneity of cohomology classes associated with Koszul matrix factorizations ⋮ Vanishing of Tor, and why we care about it ⋮ On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand ⋮ Remarks on non-commutative crepant resolutions of complete intersections ⋮ Lefschetz type formulas for dg-categories ⋮ Homological dimensions of rigid modules ⋮ Standard conjecture \(D\) for matrix factorizations ⋮ Decent intersection and Tor-rigidity for modules over local hypersurfaces ⋮ Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections ⋮ An extension of a depth inequality of Auslander

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