Asymptotic expansions of fiber integrals over higher-dimensional bases
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Shigeharu Takayama
Abstract
We give a formula of an asymptotic expansion of a function, provided in the form of a fiber integral around a critical value of a holomorphic map of toric type.
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 16H03929
Funding statement: This research is supported by JSPS KAKENHI (B) 16H03929.
Acknowledgements
It is a pleasure for the author to acknowledge Professor Daniel Barlet for his correspondences. He would also like to thank the referees for their time and efforts in reviewing this paper.
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Articles in the same Issue
- Frontmatter
- The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs
- Rotational symmetry of Weingarten spheres in homogeneous three-manifolds
- Asymptotic expansions of fiber integrals over higher-dimensional bases
- Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions
- The minimality of determinantal varieties
- On the Frobenius functor for symmetric tensor categories in positive characteristic
- On a BSD-type formula for L-values of Artin twists of elliptic curves
- Special functions and Gauss–Thakur sums in higher rank and dimension
Articles in the same Issue
- Frontmatter
- The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs
- Rotational symmetry of Weingarten spheres in homogeneous three-manifolds
- Asymptotic expansions of fiber integrals over higher-dimensional bases
- Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions
- The minimality of determinantal varieties
- On the Frobenius functor for symmetric tensor categories in positive characteristic
- On a BSD-type formula for L-values of Artin twists of elliptic curves
- Special functions and Gauss–Thakur sums in higher rank and dimension
