Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Tyler L. Kelly"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category that does not have a full exceptional collection consisting of line bundles. This pro
Externí odkaz:
https://doaj.org/article/04c74034506f49b7bff82859b73c4ddd
Autor:
Tyler L. Kelly, Nathan Ilten
Publikováno v:
Mathematische Zeitschrift. 300:1529-1556
We study Fano schemes $F_k(X)$ for complete intersections $X$ in a projective toric variety $Y\subset \mathbb{P}^n$. Our strategy is to decompose $F_k(X)$ into closed subschemes based on the irreducible decomposition of $F_k(Y)$ as studied by Ilten a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7608934a9750a0766ce7f994e6be7979
https://doi.org/10.1007/s00209-021-02809-4
https://doi.org/10.1007/s00209-021-02809-4
Autor:
David Favero, Tyler L. Kelly
Publikováno v:
Advances in Mathematics. 352:943-980
We prove a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the birationality of Berglund-Hubsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel and Sheridan, we obtain Homological Mirror Symmetry for Berglund-Hub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d4de2a0dbe56b5ec890e9f0ec2874c8
https://doi.org/10.1016/j.aim.2019.06.013
https://doi.org/10.1016/j.aim.2019.06.013
Autor:
John Voight, Charles F. Doran, Ursula Whitcher, Steven Sperber, Adriana Salerno, Tyler L. Kelly
Publikováno v:
2017 MATRIX Annals ISBN: 9783030041601
Mirror symmetry predicts surprising geometric correspondences between distinct families of algebraic varieties. In some cases, these correspondences have arithmetic consequences. Among the arithmetic correspondences predicted by mirror symmetry are c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45b596fbaa2d7453b33f9a97960321d8
https://doi.org/10.1007/978-3-030-04161-8_34
https://doi.org/10.1007/978-3-030-04161-8_34
Autor:
John Voight, Adriana Salerno, Tyler L. Kelly, Ursula Whitcher, Charles F. Doran, Steven Sperber
We prove that if two Calabi–Yau invertible pencils have the same dual weights, then they share a common factor in their zeta functions. By using Dwork cohomology, we demonstrate that this common factor is related to a hypergeometric Picard–Fuchs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f60f62bf2e9ef0e61210e9f49d58b70
https://www.repository.cam.ac.uk/handle/1810/275809
https://www.repository.cam.ac.uk/handle/1810/275809
Given the same anti-canonical linear system on two distinct toric varieties, we provide a derived equivalence between partial crepant resolutions of the corresponding stacky hypersurfaces. The applications include: a derived unification of toric mirr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f423a82d0c9e373079d7a02502cb824f
https://www.repository.cam.ac.uk/handle/1810/275934
https://www.repository.cam.ac.uk/handle/1810/275934
Autor:
John Voight, Ursula Whitcher, Tyler L. Kelly, Charles F. Doran, Adriana Salerno, Steven Sperber
Publikováno v:
Research in the Mathematical Sciences
We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard--Fuchs differential equations; we count points using Gauss sums and rewrite t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e47714d0007435dec17f8b04a1b0948a
Autor:
Tyler L. Kelly
Publikováno v:
Advances in Theoretical and Mathematical Physics. 17:1425-1449
We prove the birationality of multiple Berglund-Hubsch-Krawitz (BHK) mirrors by using Shioda maps. We do this by creating a birational picture of the BHK correspondence in general. We give an explicit quotient of a Fermat variety to which the mirrors
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1a838e6993b1cccdab717c12badae2e
https://doi.org/10.4310/atmp.2013.v17.n6.a8
https://doi.org/10.4310/atmp.2013.v17.n6.a8
Publikováno v:
Journal of Algebraic Geometry. 21:401-412
In a recent paper, Doran, Greene and Judes considered one parameter families of quintic threefolds with finite symmetry groups. A surprising result was that each of these six families has the same Picard Fuchs equation associated to the holomorphic 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c2198d2c34a07a5046d23aa95482abf
https://doi.org/10.1090/s1056-3911-2011-00544-4
https://doi.org/10.1090/s1056-3911-2011-00544-4
Autor:
Tyler L. Kelly
Publikováno v:
Calabi-Yau Varieties: Arithmetic, Geometry and Physics ISBN: 9781493928293
We give an explicit formula for the Picard ranks of K3 surfaces that have Berglund-Hubsch-Krawitz (BHK) Mirrors over an algebraically closed field, both in characteristic zero and in positive characteristic. These K3 surfaces are those that are certa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ad7e356625f690499d0748ad3a54caa
https://doi.org/10.1007/978-1-4939-2830-9_2
https://doi.org/10.1007/978-1-4939-2830-9_2