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Infinitesimal deformations of negative
Ballico E On kspanned projective surfaces
Biancoflore A On the hyperplane sections of ruled surfaces
14 other sections not shown
1st order abelian ample ample line bundle apply assume base point birational canonical Cartier divisor coefficients cohomology complete intersection compute consider contradiction Corollary crossed complexes crossed modules curve CW-complex defined deformation degree denote determinantal diagram differential dimension effective divisor elements elliptic equivalence exact sequence exists extension fibration fibre filtration finite functor gives Gorenstein graded groupoids half-canonical surface hence Hilbert scheme homology homomorphism homotopy groups homotopy theory hyperplane section implies induces integer invariant irreducible isomorphism k-spanned K-theory KO.X Kyoto Lemma line bundle linear system loop space Math monomial morphism multiple non-Abelian normal notation polynomial Preprint problem Proceedings projective surface projective variety proof of theorem Proposition prove quadrics rational relations result ring ruled surface satisfies singularities smooth spanned spectral sequence summand surjective syzygies test divisors Topology Univ University vector bundle