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NettetHodge theory in positive characteristic (see [31]). We also use in a crucial waytheresultsof[21]toproveaweakversionofBogomolov’sinequalityfor semistable modules with generalized connections. Bogomolov’s inequality for Higgs sheaves in characteristic zero is then proven by reducing to positive NettetLet k be a field of positive characteristic. We prove that the only linear relations between the Hodge numbers hi,j(X)=dimHj(X,ΩXi) that hold for every smooth proper variety X over k are the ones given by Serre duality. We also show that the only linear combinations of Hodge numbers that are birational invariants of X are given by the span of the hi,0(X) … breakfast places in near me
On the canonical bundle formula and log abundance in positive ...
Nettet21. feb. 2024 · If C C is a linear category over a field of positive characteristic ... -Riemannian manifold, then we can identify p p-forms with (n − p) (n-p)-forms using the Hodge star operator. Semi-free dg-algebras. A semi-free dg-algebra is a dg-algebra whose underlying graded commutative algebra is free, i.e. is an exterior algebra. NettetPositive scalar curvature and exotic aspherical manifolds - Jialong DENG 邓嘉龙, YMSC Scalar curvature is interesting not only in analysis, geometry and topology but also in physics. For example, the positive mass theorem, which was proved by Schoen and Yau in 1979, is equivalent to the result that the three-dimension torus carries no Riemannian … Nettet27. apr. 2024 · Title: A Cohomological Non Abelian Hodge Theorem in Positive Characteristic. Authors: Mark Andrea A. de Cataldo, ... It is interesting that this last … cost for painting 1800 square foot interior