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Systemcs hamiltonicns complctement integrables associes tux surfaces
Zerocycles and kth order embeddings of smooth projective surfaces
11 other sections not shown
affine Albanese algebraic surface ample arithmetic genus assume automorphisms base locus base point free bicanonical birational Bogomolov decomposition Campedelli canonical cohomology complete intersection components compute conic construction contains contradiction Corollary corresponding cubic hypersurface defined denote double cover effective divisor elliptic curves elliptic surface Enriques surfaces exact sequence example exceptional orbits exists fibers fibration fibre finite fixed point geometry given gives Godeaux surfaces hence Hodge hyperbolic hyperplane implies induced integer invariant involution irreducible curve isomorphism K3 surface Lemma line bundle linear system locus Math minimal model moduli space morphism multiplicity node nonsingular notation pair parabolic paracanonical curves plane curve projective PROOF Proposition prove quadric quartic hypersurfaces quintic quotient rational surface Remark resp semistable sextic sheaf singular smooth surface subgroup surface of degree surjective tangent Theorem torsion trivial unique vanishing vector bundles