Zobrazeno 1 - 10
of 1 049
pro vyhledávání: '"P, Stix"'
We develop the foundations of logarithmic structures beyond the standard finiteness conditions. The motivation is the study of semistable models over general valuation rings. The key new notion is that of a morphism of finite presentation up to satur
Externí odkaz:
http://arxiv.org/abs/2411.13662
Autor:
Pistillo, Matteo, Stix, Charlotte
High-impact and potentially dangerous capabilities can and should be broken down into early warning shots long before reaching red lines. Each of these early warning shots should correspond to a precursory capability. Each precursory capability sits
Externí odkaz:
http://arxiv.org/abs/2412.02512
Autor:
Balesni, Mikita, Hobbhahn, Marius, Lindner, David, Meinke, Alexander, Korbak, Tomek, Clymer, Joshua, Shlegeris, Buck, Scheurer, Jérémy, Stix, Charlotte, Shah, Rusheb, Goldowsky-Dill, Nicholas, Braun, Dan, Chughtai, Bilal, Evans, Owain, Kokotajlo, Daniel, Bushnaq, Lucius
We sketch how developers of frontier AI systems could construct a structured rationale -- a 'safety case' -- that an AI system is unlikely to cause catastrophic outcomes through scheming. Scheming is a potential threat model where AI systems could pu
Externí odkaz:
http://arxiv.org/abs/2411.03336
Autor:
Carlson, Magnus, Stix, Jakob
Let $K$ be a sub-$p$-adic field. We show that the functor sending a finite type $K$-scheme to its \'etale topos is fully faithful after localizing at the class of universal homeomorphisms. This generalizes a result of Voevodsky, who proved the analog
Externí odkaz:
http://arxiv.org/abs/2410.22474
We study effective global generation properties of projectivizations of curve semistable vector bundles over curves and abelian varieties.
Comment: 15 pages, comments welcome!
Comment: 15 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2405.11099
We contemplate the range of convex Fujita numbers for minimal smooth projective surfaces according to their position in the Kodaira-Enriques classification.
Comment: 27 pages, comments welcome!
Comment: 27 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2310.16987
Autor:
Achinger, Piotr, Stix, Jakob
We study pairs of non-constant maps between two integral schemes of finite type over two (possibly different) fields of positive characteristic. When the target is quasi-affine, Tamagawa showed that the two maps are equal up to a power of Frobenius i
Externí odkaz:
http://arxiv.org/abs/2310.11591
Autor:
Kendall M. Coden, Duyen K. K. Nguyen, Roberta Moorhead, Beatriz E. Stix-Brunell, Joanna N. Baker, Karen J. Parker, Joseph P. Garner
Publikováno v:
Translational Psychiatry, Vol 14, Iss 1, Pp 1-9 (2024)
Abstract Psychiatry has traditionally focused on the study of neurons and neurotransmitter physiology in the pathophysiology and treatment of psychiatric disorders. A growing literature highlights REDOX imbalance (a state in which demand for antioxid
Externí odkaz:
https://doaj.org/article/f15b721884b74d49a6f2dae26ab6c82c
It was recently proven by Esnault, Shusterman and the second named author, that the \'etale fundamental group of a connected smooth projective variety over an algebraically closed field $k$ is finitely presented. In this note, we extend this result t
Externí odkaz:
http://arxiv.org/abs/2303.11161
We study effective global generation of adjoint line bundles on smooth projective varieties. To measure the effectivity we introduce the concept of the convex Fujita number of a smooth projective variety and compute its value for a class of varieties
Externí odkaz:
http://arxiv.org/abs/2301.06367