Nettet1. jun. 2024 · In 1997 Richard Pink has clarified the concept of Hodge structures over function fields in positive characteristic, which today are called Hodge-Pink structures. They form a neutral Tannakian ... Nettet29. jul. 2024 · It is an easy matter to choose f in such a way that it attains both positive and negative values, but such that the integral above is positive. The resulting ω satisfies your condition but is not self-dual with respect to any metric. (The requirement that n be even is so that α ∧ ∗ α = ∗ α ∧ α. If n is odd, then ω ∧ ω = 0 for ...
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Nettet1. des. 2015 · Nonabelian Hodge theory in characteristic p [14, 11, 10] ... ... Our main tool to construct elements in G is to use the non-abelian Hodge correspondence in positive characteristic [14,... Nettet7. mai 2024 · For any two degrees coprime to the rank, we construct a family of ring isomorphisms parameterized by GSp(2g) between the cohomology of the moduli spaces of stable Higgs bundles which preserve the perverse filtrations. As consequences, we prove two structural results concerning the cohomology of Higgs moduli which are predicted … hogwarts the tale of rowland oaks
differential geometry - Properties of Hodge Duality - Physics Stack ...
Nettet14. sep. 2024 · We study a pair of Calabi–Yau threefolds X and M, fibered in non-principally polarized Abelian surfaces and their duals, and an equivalence \(D^b(X) \cong D^b(M)\), building on work of Gross, Popescu, Bak, and Schnell.Over the complex numbers, X is simply connected while \(\pi _1(M) = (\mathbf {Z}/3)^2\).In characteristic … NettetIn positive characteristic, Antieau and Bragg showed that Hodge numbers are derived invariants when dim X ≤ 2 [6, Thm. 1.3(1)], and the Euler characteristics χ(i X) are … Nettet14. jan. 2024 · In 1997 Richard Pink has clarified the concept of Hodge structures over function fields in positive characteristic, which today are called Hodge-Pink structures. They form a neutral Tannakian ... hub ground blind replacement parts