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On derived equivalence of general Clifford double mirrors

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2020; 14 (3)

We show that the general Clifford double mirrors constructed in [BL18] are derived equivalent.

On E-1-degeneration for the special fiber of a semistable family

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2020; 14 (3)

We study the E-1-degeneration of the logarithmic Hodge to de Rham spectral sequence of the special fiber of a proper semistable family over a discrete......

Stringy Hirzebruch classes of Weierstrass fibrations

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2020; 14 (3)

A Weierstrass fibration is an elliptic fibration Y -> B whose total space Y may be given by a global Weierstrass equation in a P-2-bundle over B. I......

K3 surfaces from configurations of six lines in P-2 and mirror symmetry I

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2020; 14 (4)

From the viewpoint of mirror symmetry, we revisit the hypergeometric system E(3, 6) for a family of K3 surfaces. We construct a good resolution of the......

Integrality of the LMOV invariants for framed unknot

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2019; 13 (1)

The Labastida-Marino-Ooguri-Vafa (LMOV) invariants are the open string BPS invariants which are expected to be integers based on the string duality co......

JIF:1.54

Wick rotations, Eichler integrals, and multi-loop Feynman diagrams

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2018; 12 (1)

Using contour deformations and integrations over modular forms, we compute certain Bessel moments arising from diagrammatic expansions in two-dimensio......

JIF:1.54

Wronskian factorizations and Broadhurst-Mellit determinant formulae

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2018; 12 (2)

Drawing on Vanhove's contributions to mixed Hodge structures for Feynman integrals in two-dimensional quantum field theory, we compute two families of......

JIF:1.54

Differential zeros of period integrals and generalized hypergeometric functions

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2018; 12 (4)

In this paper, we study the zero loci of locally constant sheaves of the form delta II, where Pi is the period sheaf of the universal family of CY hyp......

JIF:1.54

Calabi-Yau modular forms in limit: Elliptic fibrations

期刊: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2017; 11 (4)

We study the limit of Calabi-Yau modular forms, and in particular, those resulting in classical modular forms. We then study two parameter families of......

JIF:1.22

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