Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Adrian Clingher"'
Autor:
Vasily Golyshev, Adrian Clingher
Publikováno v:
Experimental Results, Vol 4 (2023)
We prove that certain differential operators of the form $ DLD $ with $ L $ hypergeometric and $ D=z\frac{\partial }{dz} $ are of Picard–Fuchs type. We give closed hypergeometric expressions for minors of the biextension period matrices that ari
Externí odkaz:
https://doaj.org/article/23d0ea48b09f4763abb9a23dbe7a2450
Autor:
Genival da Silva, Adrian Clingher
Publikováno v:
Experimental Results, Vol 2 (2021)
We review a combinatoric approach to the Hodge conjecture for Fermat varieties and announce new cases where the conjecture is true. We show the Hodge conjecture for Fermat fourfolds $ {X}_m^4 $ of degree m ≤ 100 coprime to 6, and also prove the con
Externí odkaz:
https://doaj.org/article/59a8d3bea8b445fa8a056d9b35bafa79
Publikováno v:
Experimental Results, Vol 1 (2020)
Green–Griffiths–Kerr introduced Hodge representations to classify the Hodge groups of polarized Hodge structures, and the corresponding Mumford–Tate subdomains. We summarize how, given a fixed period domain $ \mathcal{D} $ , to enumerate the Ho
Externí odkaz:
https://doaj.org/article/f3fb7c88200847898372a7d7fd790d7f
Autor:
Adrian Clingher, Jae-Hyouk Lee
Publikováno v:
Symmetry, Vol 10, Iss 10, p 443 (2018)
We consider certain E n -type root lattices embedded within the standard Lorentzian lattice Z n + 1 ( 3 ≤ n ≤ 8 ) and study their discrete geometry from the point of view of del Pezzo surface geometry. The lattice Z n + 1 decomposes as a disjoint
Externí odkaz:
https://doaj.org/article/b60a471e116941a58710ac58fccdbef9
Publikováno v:
Letters in Mathematical Physics. 110:3081-3104
We construct non-geometric string compactifications by using the F-theory dual of the heterotic string compactified on a two-torus with two Wilson line parameters, together with a close connection between modular forms and the equations for certain K
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ba1d03481ac25100c148c6946ed288f
https://doi.org/10.1007/s11005-020-01323-8
https://doi.org/10.1007/s11005-020-01323-8
We construct geometric isogenies between three types of two-parameter families of K3 surfaces of Picard rank 18. One is the family of Kummer surfaces associated with Jacobians of genus-two curves admitting an elliptic involution, another is the famil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44acd2736c54204682d585c9f3327a09
Autor:
Andreas Malmendier, Adrian Clingher
We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type $(1,1)$, $(1,2)$, $(2,2)$, $(2,4)$, and $(1,4)$. Explicit formulas for coordinates and moduli parameters in terms of Theta functions of genus t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::258ee34e0f3c6cef08815dd69d4b9122
https://doi.org/10.1017/9781108773355
https://doi.org/10.1017/9781108773355
We construct a three-parameter family of non-hyperelliptic and bielliptic plane genus-three curves whose associated Prym variety is two-isogenous to the Jacobian variety of a general hyperelliptic genus-two curve. Our construction is based on the exi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96fa8262f1abb2b79da3b25e90b88d25
http://arxiv.org/abs/1901.09846
http://arxiv.org/abs/1901.09846
Autor:
Jae Hyouk Lee, Adrian Clingher
Publikováno v:
Symmetry
Volume 10
Issue 10
Symmetry, Vol 10, Iss 10, p 443 (2018)
Volume 10
Issue 10
Symmetry, Vol 10, Iss 10, p 443 (2018)
We consider certain E n -type root lattices embedded within the standard Lorentzian lattice Z n + 1 ( 3 &le
n &le
8 ) and study their discrete geometry from the point of view of del Pezzo surface geometry. The lattice Z n + 1 decomposes as
n &le
8 ) and study their discrete geometry from the point of view of del Pezzo surface geometry. The lattice Z n + 1 decomposes as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e59b21ef6133303ee05f180f25efb8da