Zobrazeno 1 - 10
of 33
pro vyhledávání: '"14F18, 13A35"'
Autor:
Bhatt, Bhargav, Ma, Linquan, Patakfalvi, Zsolt, Schwede, Karl, Tucker, Kevin, Waldron, Joe, Witaszek, Jakub
Let $X$ be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inverting $p$, can be computed from a sufficiently large alteration, agrees
Externí odkaz:
http://arxiv.org/abs/2401.00615
Autor:
Datta, Rankeya, Simpson, Austyn
Let $k$ be an algebraically closed field of characteristic $p > 0$. We show that if $X\subseteq\mathbb{P}^n_k$ is an equidimensional subscheme with Hilbert--Kunz multiplicity less than $\lambda$ at all points $x\in X$, then for a general hyperplane $
Externí odkaz:
http://arxiv.org/abs/1908.04819
Autor:
Ma, Linquan, Schwede, Karl
We prove that a local domain $R$, essentially of finite type over a field, is regular if and only if for every regular alteration $\pi : X \to Spec R$, we have that $R \pi_* \mathcal{O}_X$ has finite (equivalently zero in characteristic zero) project
Externí odkaz:
http://arxiv.org/abs/1810.08172
Publikováno v:
Forum of Mathematics, Sigma 7 (2019) e11
We study $F$-signature under proper birational morphisms $\pi : Y \to X$, showing that $F$-signature strictly increases for small morphisms or if $ K_Y \geq \pi ^*K_X$. In certain cases, we can even show that the $F$-signature of $Y$ is at least twic
Externí odkaz:
http://arxiv.org/abs/1810.00049
Autor:
Canton, Eric
Publikováno v:
Pure and Applied Mathematics Quarterly, Vol. 16, No. 5 (2020), pp. 1489-1556
We introduce and study a log discrepancy function on the space of semivaluations centered on an integral noetherian scheme of positive characteristic. Our definition shares many properties with the analogue in characteristic zero; we prove that if lo
Externí odkaz:
http://arxiv.org/abs/1711.03002
Publikováno v:
Math. Z. 299 (2021), no. 1-2, 1131--1153
We show that Bertini theorems hold for $F$-signature and Hilbert--Kunz multiplicity. In particular, if $X \subseteq \mathbb{P}^n$ is normal and quasi-projective with $F$-signature greater than $\lambda$ (respectively the Hilbert--Kunz multiplicity is
Externí odkaz:
http://arxiv.org/abs/1710.01277
Publikováno v:
Ann. Sci. \'Ec. Norm. Sup\'er. (4) 51 (2018), no. 4, 993-1016
We prove that the local etale fundamental group of a strongly $F$-regular singularity is finite (and likewise for the \'etale fundamental group of the complement of a codimension $\geq 2$ set), analogous to results of Xu and Greb-Kebekus-Peternell fo
Externí odkaz:
http://arxiv.org/abs/1606.04088
Publikováno v:
Compositio Math. 153 (2017) 2147-2170
In this paper we study the local cohomology modules of Du Bois singularities. Let $(R,m)$ be a local ring, we prove that if $R_{red}$ is Du Bois, then $H_m^i(R)\to H_m^i(R_{red})$ is surjective for every $i$. We find many applications of this result.
Externí odkaz:
http://arxiv.org/abs/1605.02755
Autor:
Das, Omprokash, Schwede, Karl
Publikováno v:
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), no. 3, 1173-1205
We study the structure of Frobenius splittings (and generalizations thereof) induced on compatible subvarieties $W \subseteq X$. In particular, if the compatible splitting comes from a compatible splitting of a divisor on some birational model $E \su
Externí odkaz:
http://arxiv.org/abs/1508.07295
We show that if $(X,B)$ is a two dimensional Kawamata log terminal pair defined over an algebraically closed field of characteristic $p$, and $p$ is sufficiently large, depending only on the coefficients of $B$, then $(X,B)$ is also strongly $F$-regu
Externí odkaz:
http://arxiv.org/abs/1402.0027