Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology.
Let be an -dimensional irreducible smooth complex projective variety embedded in a projective space. Let be a closed subscheme of , and be a positive integer such that is generated by global sections. Fix an integer , and assume the general divisor is smooth. Denote by the quotient of by the cohomology of and also by the cycle classes of the irreducible components of dimension of . In the present paper we prove that the monodromy representation on for the family of smooth...
We construct closed complex submanifolds of which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of .