3 papers
math.AG2021
Reconstructing a variety from its topology (after Kollár, building on earlier work of Lieblich and Olsson)
Kestutis Cesnavicius
We survey a recent result of Kollár about reconstructing normal, geometrically integral, projective varieties of dimension in characteristic from their underlying Zaris…
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…