Let X,Y be algebraic varieties defined over the reals. Assume Y is smooth and X is Gorenstein. Suppose f:X -> Y is a flat R-morphism such that all the fibers have rational singularities. We show that the pushforward of any smooth, compactly supported measure on X has a continuous density with respect to any smooth measure with non-vanishing density on Y. This extends a result of Aizenbud and Avni from the p-adic case to the archimedean case.

Last modified

• 11/24/2019

Creator

• Andrew Reiser

DOI

• https://doi.org/10.21985/n2-3v4t-ev29

Subject

• Mathematics

Keyword

• Measures
• Rational singularities

Date created

• 2018-01-01

Resource type

• Dissertation

Rights statement

• In Copyright