Zobrazeno 1 - 10
of 2 180
pro vyhledávání: '"Zilber, P."'
Autor:
Shepler, Anne V., Witherspoon, Sarah
Alexander-Whitney and Eilenberg-Zilber maps traditionally convert between the tensor product of standard resolutions and the standard resolution of a tensor product of algebras. We examine Alexander-Whitney and Eilenberg-Zilber maps for twisted tenso
Externí odkaz:
http://arxiv.org/abs/2411.04102
Autor:
Sanchez, Omar Leon
We prove that the theory of differentially closed fields of characteristic zero in $m\geq 1$ commuting derivations DCF$_{0,m}$ satisfies the expected form of the dichotomy. Namely, any minimal type is either locally modular or nonorthogonal to the (a
Externí odkaz:
http://arxiv.org/abs/2411.04801
Autor:
Castle, Benjamin
We prove the higher dimensional case of the o-minimal variant of Zilber's Restricted Trichotomy Conjecture. More precisely, let $\mathcal R$ be an o-minimal expansion of a real closed field, let $M$ be an interpretable set in $\mathcal R$, and let $\
Externí odkaz:
http://arxiv.org/abs/2406.09285
We show that the maximal shifts in the minimal free resolution of the quotients of a polynomial ring by a monomial ideal are subadditive as a function of the homological degree. This answers a question that has received some attention in recent years
Externí odkaz:
http://arxiv.org/abs/2404.16643
Autor:
Aslanyan, Vahagn
In this paper we survey the history of, and recent developments on, two major conjectures originating in Zilber's model-theoretic work on complex exponentiation -- Existential Closedness and Zilber-Pink. The main focus is on the modular versions of t
Externí odkaz:
http://arxiv.org/abs/2403.09304
Autor:
Papas, Georgios
We establish Large Galois orbits conjectures for points of unlikely intersections of curves in $Y(1)^n$, upon assumptions on the intersection of such curves with the boundary $X(1)^n\backslash Y(1)^n$, in the Zilber-Pink setting. As a corollary, buil
Externí odkaz:
http://arxiv.org/abs/2402.09487
Autor:
Dogra, Netan
We give a proof of the Zilber--Pink conjecture for $n$-fold self-products of a curve $X$ inside the self-product of its Jacobian, when $X$ has appropriate bad reduction, its Jacobian has no extra endomorphisms, and $n$ is sufficiently small. The stra
Externí odkaz:
http://arxiv.org/abs/2403.05481
The diagonal lemma asserts that if a map of bisimplicial sets is a levelwise weak equivalence in the Kan-Quillen model structure, then it induces a weak equivalence of the diagonal simplicial sets. In this short note, we observe that the standard pro
Externí odkaz:
http://arxiv.org/abs/2306.02217
Autor:
Campion, Timothy
We show that various cube categories (without diagonals, but with symmetries / connections / reversals) are Eilenberg-Zilber categories. This generalizes a result of Isaacson for one particular cubical site. Our method does not involve direct verific
Externí odkaz:
http://arxiv.org/abs/2303.06206
Autor:
Papas, Georgios
Following our work in \cite{papas2022height}, we extend the height bounds established by Y. Andr\'e in his seminal research monograph \cite{andre1989g} for $1$-parameter families of abelian varieties defined over number fields. In our exposition we n
Externí odkaz:
http://arxiv.org/abs/2211.06763