Imperial College London
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ProfessorTravisSchedler

Faculty of Natural Sciences, Department of Mathematics

Professor of Mathematics
 
 
 
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t.schedler CV

 
 
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Location

 

622Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Bitoun:2018:10.1112/S0010437X18007492,
author = {Bitoun, T and Schedler, TJ},
doi = {10.1112/S0010437X18007492},
journal = {Compositio Mathematica},
pages = {2426--2440},
title = {On D-modules related to the b-function and Hamiltonian flow},
url = {http://dx.doi.org/10.1112/S0010437X18007492},
volume = {154},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Let f be a quasi-homogeneous polynomial with an isolated singularity in Cn . We compute the length of the D -modules Df/Df+1 generated by complex powers of f in terms of the Hodge filtration on the top cohomology of the Milnor fiber. When =−1 we obtain one more than the reduced genus of the singularity ( dimHn−2(Z,OZ) for Z the exceptional fiber of a resolution of singularities). We conjecture that this holds without the quasi-homogeneous assumption. We also deduce that the quotient Df/Df+1 is nonzero when  is a root of the b -function of f (which Saito recently showed fails to hold in the inhomogeneous case). We obtain these results by comparing these D -modules to those defined by Etingof and the second author which represent invariants under Hamiltonian flow.
AU  - Bitoun,T
AU  - Schedler,TJ
DO  - 10.1112/S0010437X18007492
EP  - 2440
PY  - 2018///
SN  - 0010-437X
SP  - 2426
TI  - On D-modules related to the b-function and Hamiltonian flow
T2  - Compositio Mathematica
UR  - http://dx.doi.org/10.1112/S0010437X18007492
UR  - https://www.cambridge.org/core/journals/compositio-mathematica/article/on-mathcald-modules-related-to-the-b-function-and-hamiltonian-flow/7AA8B9B35FBBA71CAB38FBBBF15ED225
UR  - http://hdl.handle.net/10044/1/59851
VL  - 154
ER  -
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