Hypergeometric decomposition of symmetric K3 quartic pencils

Charles F. Doran, Tyler L. Kelly, Adriana Salerno, Steven Sperber, John Voight, Ursula Whitcher

Type: Preprint

Publication Date: 2018-10-15

Citations: 2

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arXiv (Cornell University) - View

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Citing (34)

Action	Title	Year	Authors
+	Gauss and Jacobi sums	1998	Bruce C. Berndt Kenneth S. Williams Ronald J. Evans
+	Calabi-Yau manifolds over finite fields. 1.	2000	Philip Candelas Xenia de la Ossa Fernando Rodriguez-Villegas
+	<i>Generalized Hypergeometric Functions</i>	1967	L. J. Slater Werner C. Rheinboldt
+ PDF Chat	Monomial deformations of certain hypersurfaces and two hypergeometric functions	2015	Kazuaki Miyatani
+	Mirror Symmetry and Algebraic Geometry	1999	David Cox Sheldon Katz
+ PDF Chat	Variation of Néron–Severi Ranks of Reductions of K3 Surfaces	2014	Edgar Costa Yuri Tschinkel
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust
+ PDF Chat	Numbers of solutions of equations in finite fields	1949	André Weil
+	Transformations of well-poised hypergeometric functions over finite fields	2012	Dermot McCarthy
+	An Explicit Algorithm for Computing the Picard Number of Certain Algebraic Surfaces	1986	Tetsuji Shioda
+	Monodromy for the hypergeometric function n F n ?1	1989	Frits Beukers Gerrit Heckman
+	Mirror quintics, discrete symmetries and Shioda maps	2011	Gilberto Bini Bert van Geemen Tyler L. Kelly
+	p-adic cycles	1969	Bernard Dwork
+	Quotients of the Dwork pencil	2013	Gilberto Bini Alice Garbagnati
+ PDF Chat	The zeta function of monomial deformations of Fermat hypersurfaces	2007	Remke Kloosterman
+ PDF Chat	Hypergeometric functions over finite fields	1987	John Greene
+	The Arithmetic of Calabi--Yau Manifolds and Mirror Symmetry	2004	Shabnam Nargis Kadir
+	On a supercongruence conjecture of Rodriguez-Villegas	2011	Dermot McCarthy
+ PDF Chat	Families of Quintic Calabi–Yau 3–Folds with Discrete Symmetries	2008	Charles F. Doran Brian Greene Simon Judes
+ PDF Chat	The trace of Frobenius of elliptic curves and the<i>p</i>-adic gamma function	2013	Dermot McCarthy
+	Nombre de solutions des équations polynomiales sur un corps fini	1951	Jean Delsarte
+ PDF Chat	Hypergeometric Functions over Finite Fields	2019	Jenny G. Fuselier Ling Long Ravi Ramakrishna Holly Swisher Fang-Ting Tu
+	On the Periods of Certain Rational Integrals: I	1969	Philip A. Griffiths
+	On a certain hypergeometric motive of weight 2 and rank 3	2017	Bartosz Naskręcki
+	The number of points on certain families of hypersurfaces over finite fields	1983	Neal Koblitz
+ PDF Chat	Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces	2017	Remke Kloosterman
+	Galois action on the Neron-Severi group of Dwork surfaces	2018	Lian Duan
+ PDF Chat	Zeta functions of alternate mirror Calabi–Yau families	2018	Charles F. Doran Tyler L. Kelly Adriana Salerno Steven Sperber John Voight Ursula Whitcher
+ PDF Chat	Finite hypergeometric functions	2015	Frits Beukers Henri Cohen Anton Mellit
+ PDF Chat	Berglund-Hübsch-Krawitz mirrors via Shioda maps	2013	Tyler L. Kelly
+	A complete hypergeometric point count formula for Dwork hypersurfaces	2017	Heidi Goodson
+ PDF Chat	Hypergeometric functions and relations to Dwork hypersurfaces	2016	Heidi Goodson
+ PDF Chat	Counting points over finite fields and hypergeometric functions	2013	Adriana Salerno
+ PDF Chat	Quotients of hypersurfaces in weighted projective space	2011	Gilberto Bini