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Zeta Functions in Algebra and Geometry
About this Title
Antonio Campillo, Universidad de Valladolid, Valladolid, Spain, Gabriel Cardona, Universitat de les Illes Balears, Palma de Mallorca, Spain, Alejandro Melle-Hernández, Universidad Complutense de Madrid, Madrid, Spain, Wim Veys, University of Leuven, Leuven, Belgium and Wilson A. Zúñiga-Galindo, Cinvestav I.P.N., Mexico City, Mexico, Editors
Publication: Contemporary Mathematics
Publication Year:
2012; Volume 566
ISBNs: 978-0-8218-6900-0 (print); 978-0-8218-8776-9 (online)
DOI: https://doi.org/10.1090/conm/566
ReadershipTable of Contents
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Front/Back Matter
$L$-functions of varieties over finite fields and Artin $L$-functions
- Pilar Bayer – Computational aspects of Artin $L$-functions
- Anne Frühbis-Krüger and Shabnam Kadir – Zeta functions for families of Calabi–Yau $n$-folds with singularities
- Antonio Rojas-León – Estimates for exponential sums with a large automorphism group
Height zeta functions and arithmetic
- Driss Essouabri – Height zeta functions on generalized projective toric varieties
- Yu. I. Manin – Combinatorial cubic surfaces and reconstruction theorems
- Sho Tanimoto and Yuri Tschinkel – Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups
Motivic zeta functions, Poincaré series, complex monodromy and knots
- Nero Budur – Singularity invariants related to Milnor fibers: survey
- Carlos Galindo and Francisco Monserrat – Finite families of plane valuations: value semigroup, graded algebra and Poincaré series
- E. Gorsky – $q,t$-Catalan numbers and knot homology
- Lars Halvard Halle and Johannes Nicaise – Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties
- András Némethi and Fernando Román – The lattice cohomology of $S^3_{-d}(K)$
Zeta functions for groups and representations
- Nir Avni, Benjamin Klopsch, Uri Onn and Christopher Voll – Representation zeta functions of some compact $p$-adic analytic groups
- Aner Shalev – Applications of some zeta functions in group theory