This very strange issue begun from
A claim of type 'http://schemas.xmlsoap.org/ws/2005/05/identity/claims/nameidentifier' or 'http://schemas.microsoft.com/accesscontrolservice/2010/07/claims/identityprovider' was not present on the provided ClaimsIdentity.
after googling I've found an advice to place AntiForgeryConfig.UniqueClaimTypeIdentifier = ClaimTypes.NameIdentifier; in global.asax.
The situation has changed and I got
A claim of type 'http://schemas.xmlsoap.org/ws/2005/05/identity/claims/nameidentifier' was not present on the provided ClaimsIdentity.
Then I
deleted all the occurencies of Html.AntiForgeryToken
and the project begun to work again.
But Go to the complete details ...