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math.AG2018
Macaulayfication of Noetherian schemes
Kestutis Cesnavicius
To reduce to resolving Cohen-Macaulay singularities, Faltings initiated the program of "Macaulayfying" a given Noetherian scheme . For a wide class of , Kawasaki built the so…
math.AG2018
Grothendieck-Lefschetz for vector bundles
Kestutis Cesnavicius
According to the Grothendieck-Lefschetz theorem from SGA 2, there are no nontrivial line bundles on the punctured spectrum of a local ring that is a complete intersection…