University of Hertfordshire

By the same authors

Zeta-Functions for Families of Calabi--Yau n-folds with Singularities

Research output: Chapter in Book/Report/Conference proceedingChapter

Standard

Zeta-Functions for Families of Calabi--Yau n-folds with Singularities. / Frühbis-Krüger, Anne; Kadir, Shabnam.

Zeta functions for families of Calabi–Yau n -folds with singularities. ed. / Antonio Campillo; Gabriel Cardona; Alejandro Melle-Hernandez; Wim Veys; Wilson A. Zuniga-Galindo. Vol. 566 American Mathematical Society, 2012. (Contemporary Mathematics).

Research output: Chapter in Book/Report/Conference proceedingChapter

Harvard

Frühbis-Krüger, A & Kadir, S 2012, Zeta-Functions for Families of Calabi--Yau n-folds with Singularities. in A Campillo, G Cardona, A Melle-Hernandez, W Veys & WA Zuniga-Galindo (eds), Zeta functions for families of Calabi–Yau n -folds with singularities. vol. 566, Contemporary Mathematics, American Mathematical Society. https://doi.org/10.1090/conm/566

APA

Frühbis-Krüger, A., & Kadir, S. (2012). Zeta-Functions for Families of Calabi--Yau n-folds with Singularities. In A. Campillo, G. Cardona, A. Melle-Hernandez, W. Veys, & W. A. Zuniga-Galindo (Eds.), Zeta functions for families of Calabi–Yau n -folds with singularities (Vol. 566). (Contemporary Mathematics). American Mathematical Society. https://doi.org/10.1090/conm/566

Vancouver

Frühbis-Krüger A, Kadir S. Zeta-Functions for Families of Calabi--Yau n-folds with Singularities. In Campillo A, Cardona G, Melle-Hernandez A, Veys W, Zuniga-Galindo WA, editors, Zeta functions for families of Calabi–Yau n -folds with singularities. Vol. 566. American Mathematical Society. 2012. (Contemporary Mathematics). https://doi.org/10.1090/conm/566

Author

Frühbis-Krüger, Anne ; Kadir, Shabnam. / Zeta-Functions for Families of Calabi--Yau n-folds with Singularities. Zeta functions for families of Calabi–Yau n -folds with singularities. editor / Antonio Campillo ; Gabriel Cardona ; Alejandro Melle-Hernandez ; Wim Veys ; Wilson A. Zuniga-Galindo. Vol. 566 American Mathematical Society, 2012. (Contemporary Mathematics).

Bibtex

@inbook{51ac553e7a584a9ba315c9d19d06e817,
title = "Zeta-Functions for Families of Calabi--Yau n-folds with Singularities",
abstract = "We consider families of Calabi-Yau n-folds containing singular fibres and study relations between the occurring singularity structure and the decomposition of the local Weil zeta-function. For 1-parameter families, this provides new insights into the combinatorial structure of the strong equivalence classes arising in the Candelas - de la Ossa - Rodrigues-Villegas approach for computing the zeta-function. This can also be extended to families with more parameters as is explored in several examples, where the singularity analysis provides correct predictions for the changes of degree in the decomposition of the zeta-function when passing to singular fibres. These observations provide first evidence in higher dimensions for Lauder's conjectured analogue of the Clemens-Schmid exact sequence.",
keywords = "math.AG",
author = "Anne Fr{\"u}hbis-Kr{\"u}ger and Shabnam Kadir",
note = "22 pages, LaTeX, (including 4 tables)",
year = "2012",
month = "2",
day = "2",
doi = "10.1090/conm/566",
language = "English",
isbn = "978-0-8218-6900-0",
volume = "566",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
editor = "Antonio Campillo and Cardona, {Gabriel } and Melle-Hernandez, {Alejandro } and Wim Veys and Zuniga-Galindo, {Wilson A.}",
booktitle = "Zeta functions for families of Calabi–Yau n -folds with singularities",
address = "United States",

}

RIS

TY - CHAP

T1 - Zeta-Functions for Families of Calabi--Yau n-folds with Singularities

AU - Frühbis-Krüger, Anne

AU - Kadir, Shabnam

N1 - 22 pages, LaTeX, (including 4 tables)

PY - 2012/2/2

Y1 - 2012/2/2

N2 - We consider families of Calabi-Yau n-folds containing singular fibres and study relations between the occurring singularity structure and the decomposition of the local Weil zeta-function. For 1-parameter families, this provides new insights into the combinatorial structure of the strong equivalence classes arising in the Candelas - de la Ossa - Rodrigues-Villegas approach for computing the zeta-function. This can also be extended to families with more parameters as is explored in several examples, where the singularity analysis provides correct predictions for the changes of degree in the decomposition of the zeta-function when passing to singular fibres. These observations provide first evidence in higher dimensions for Lauder's conjectured analogue of the Clemens-Schmid exact sequence.

AB - We consider families of Calabi-Yau n-folds containing singular fibres and study relations between the occurring singularity structure and the decomposition of the local Weil zeta-function. For 1-parameter families, this provides new insights into the combinatorial structure of the strong equivalence classes arising in the Candelas - de la Ossa - Rodrigues-Villegas approach for computing the zeta-function. This can also be extended to families with more parameters as is explored in several examples, where the singularity analysis provides correct predictions for the changes of degree in the decomposition of the zeta-function when passing to singular fibres. These observations provide first evidence in higher dimensions for Lauder's conjectured analogue of the Clemens-Schmid exact sequence.

KW - math.AG

U2 - 10.1090/conm/566

DO - 10.1090/conm/566

M3 - Chapter

SN - 978-0-8218-6900-0

VL - 566

T3 - Contemporary Mathematics

BT - Zeta functions for families of Calabi–Yau n -folds with singularities

A2 - Campillo, Antonio

A2 - Cardona, Gabriel

A2 - Melle-Hernandez, Alejandro

A2 - Veys, Wim

A2 - Zuniga-Galindo, Wilson A.

PB - American Mathematical Society

ER -