@inbook{8c572ff16c53409686969948b5afe7cc,
title = "Theorem of the Base",
abstract = "We explain a proof of the Theorem of the Base: the Neron– Severi group of a proper variety is a finitely generated abelian group. We discuss, quite generally, the Picard functor and its torsion and identity components. We study representability and finiteness properties of the Picard functor, both absolutely and in families. Along the way, we streamline the original proof by using alterations, and we discuss some examples of peculiar Picard schemes.",
keywords = "N{\'e}ron-Severi groups, Picard schemes, representability",
author = "Raymond Cheng and Lena Ji and Matt Larson and Noah Olander",
year = "2022",
doi = "10.1017/9781009051897.007",
language = "English (US)",
isbn = "9781009054850",
series = "London Mathematical Society Lecture Note Series",
publisher = "Cambridge University Press",
pages = "163--193",
editor = "Pieter Belmans and Wei Ho and {de Jong}, {Aise Johan}",
booktitle = "Stacks Project Expository Collection",
address = "United States",
}