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math.AG2024
On Harder-Narasimhan slopes of direct images
Siarhei Finski
For a flat family of complex projective varieties, we study the asymptotic distribution of the Harder-Narasimhan slopes of the direct images on the base of high tensor powers of a…
math.AG2020★ 6 cited
On characteristic forms of positive vector bundles, mixed discriminants and pushforward identities
Siarhei Finski
We prove that Schur polynomials in Chern forms of Nakano and dual Nakano positive vector bundles are positive as differential forms. Moreover, modulo a statement about the positivi…