Non-abelian Mellin transformations and applications
Copyright policy )Non-abelian Mellin transformations and applications
Abstract We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalisation to the non-abelian context and with arbitrary coefficients of the t-exactness of Gabber-Loeser’s Mellin transformation. As an intermediate step, we obtain vanishing results for the Sabbah specialisation functors. Our main application is to construct new examples of duality spaces in the sense of Bieri-Eckmann, generalising results of Denham-Suciu.
- University of Wisconsin–Madison United States
- University of Wisconsin–Oshkosh United States
- UNIVERSITY OF WISCONSIN-MADISON United States
Homotopy theory and fundamental groups in algebraic geometry, Topological properties in algebraic geometry, nearby cycles, Sabbah specialization, Mathematics - Algebraic Geometry, Milnor fiber, 14F05, 14F35, 14F45, 32S55, 32S60, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), perverse sheaf, FOS: Mathematics, Mellin transformation, Sheaves in algebraic geometry, Milnor fibration; relations with knot theory, Algebraic Geometry (math.AG), duality space
Homotopy theory and fundamental groups in algebraic geometry, Topological properties in algebraic geometry, nearby cycles, Sabbah specialization, Mathematics - Algebraic Geometry, Milnor fiber, 14F05, 14F35, 14F45, 32S55, 32S60, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), perverse sheaf, FOS: Mathematics, Mellin transformation, Sheaves in algebraic geometry, Milnor fibration; relations with knot theory, Algebraic Geometry (math.AG), duality space
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!