  The standard techniques of variational calculus are geometrically stated in
the ambient of fiber bundles endowed with a (pre)multisymplectic structure.
Then, for the corresponding variational equations, conserved quantities (or,
what is equivalent, conservation laws), symmetries, Cartan (Noether)
symmetries, gauge symmetries and different versions of Noether's theorem are
studied in this ambient. In this way, this constitutes a general geometric
framework for all these topics that includes, as special cases, first and
higher order field theories and (non-autonomous) mechanics.
