Durif Durif Durif is a variety of red wine grape primarily grown in Australia, California, France, and Israel. Since the end of the 20th century, wineries located in Washington's Yakima River Valley, Maryland, Arizona, West Virginia, Chile, Mexico's Baja California Peninsula, and Ontario's Niagara Peninsula have also produced wines from Durif grapes. It is the main grape known in the U.S. and Israel as Petite Sirah, with over 90% of the California plantings labeled "Petite Sirah" being Durif grapes; the U.S. Bureau of Alcohol, Tobacco, Firearms and Explosives (ATF) recognizes "Durif" and "Petite Sirah" as synonyms for the same grape. It
Arithmetic of abelian varieties Arithmetic of abelian varieties In mathematics, the arithmetic of abelian varieties is the study of the number theory of an abelian variety, or family of those. It goes back to the studies of Pierre de Fermat on what are now recognized as elliptic curves; and has become a very substantial area both in terms of results and conjectures. Most of these can be posed for an abelian variety "A" over a number field "K"; or more generally (for global fields or more general finitely-generated rings or fields). There is some tension here between concepts: "integer point" belongs in a sense