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Genuinely ramified maps and pseudo-stable vector bundles

Genuinely ramified maps and pseudo-stable vector bundles

Let X and Y be irreducible normal projective varieties, of same dimension, defined over an algebraically closed field, and let f:Y⟶X be a finite generically smooth morphism such that the corresponding homomorphism between the étale fundamental groups f∗:π1et(Y)⟶π1et(X) is surjective. Fix a polarization on X and equip Y with the …