Zobrazeno 1 - 10
of 280
pro vyhledávání: '"Perry Alexander"'
Autor:
Hotchkiss, James, Perry, Alexander
We prove the period-index conjecture for unramified Brauer classes on abelian threefolds. To do so, we develop a theory of reduced Donaldson-Thomas invariants for 3-dimensional Calabi-Yau categories, with the feature that the noncommutative variation
Externí odkaz:
http://arxiv.org/abs/2405.03315
Autor:
Perry, Alexander, Shah, Saket
We construct stability conditions on crepant resolutions of certain quotients of product varieties, giving as a special case the first examples of stability conditions on strict Calabi-Yau varieties of arbitrary dimension. Along the way, we prove the
Externí odkaz:
http://arxiv.org/abs/2404.09121
We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also construct rational specializations of these fivefolds where such a resolutio
Externí odkaz:
http://arxiv.org/abs/2403.13463
We study moduli spaces of stable objects in Enriques categories by exploiting their relation to moduli spaces of stable objects in associated K3 categories. In particular, we settle the nonemptiness problem for moduli spaces of stable objects in the
Externí odkaz:
http://arxiv.org/abs/2305.10702
Autor:
de Jong, Aise Johan, Perry, Alexander
Conditional on the Lefschetz standard conjecture in degree 2, we prove that the index of a Brauer class on a smooth projective variety divides a fixed power of its period, uniformly in smooth families. In the other direction, we reinterpret in more c
Externí odkaz:
http://arxiv.org/abs/2212.12971
Publikováno v:
In Cognition November 2024 252
Autor:
Bayer, Arend, Perry, Alexander
We settle the last open case of Kuznetsov's conjecture on the derived categories of Fano threefolds. Contrary to the original conjecture, we prove the Kuznetsov components of quartic double solids and Gushel-Mukai threefolds are never equivalent, as
Externí odkaz:
http://arxiv.org/abs/2202.04195
Autor:
Landy, Justin F., author, Perry, Alexander D., author
Publikováno v:
The Social Science of the COVID-19 Pandemic : A Call to Action for Researchers, 2024.
Externí odkaz:
https://doi.org/10.1093/oso/9780197615133.003.0034
Autor:
Kuznetsov, Alexander, Perry, Alexander
We describe in terms of spherical twists the Serre functors of many interesting semiorthogonal components, called residual categories, of the derived categories of projective varieties. In particular, we show the residual categories of Fano complete
Externí odkaz:
http://arxiv.org/abs/2109.02026
Autor:
Perry, Alexander
We formulate a version of the integral Hodge conjecture for categories, prove the conjecture for two-dimensional Calabi-Yau categories which are suitably deformation equivalent to the derived category of a K3 or abelian surface, and use this to deduc
Externí odkaz:
http://arxiv.org/abs/2004.03163