Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Hernández, Daniel J."'
Autor:
Montaner, Josep Àlvarez, Hernández, Daniel J., Jeffries, Jack, Núñez-Betancourt, Luis, Teixeira, Pedro, Witt, Emily E.
In this manuscript we prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly F-regular finitely generated graded algebras with FFRT in prime chara
Externí odkaz:
http://arxiv.org/abs/2103.02986
Autor:
Montaner, Josep Àlvarez, Hernández, Daniel J., Jeffries, Jack, Núñez-Betancourt, Luis, Teixeira, Pedro, Witt, Emily E.
This paper investigates the existence and properties of a Bernstein-Sato functional equation in nonregular settings. In particular, we construct $D$-modules in which such formal equations can be studied. The existence of the Bernstein-Sato polynomial
Externí odkaz:
http://arxiv.org/abs/1907.10017
Publikováno v:
J. Softw. Alg. Geom. 11 (2021) 25-39
This article describes the \emph{Macaulay2} package \emph{FrobeniusThresholds}, designed to estimate and calculate $F$-pure thresholds, more general $F$-thresholds, and related numerical invariants arising in the study of singularities in prime chara
Externí odkaz:
http://arxiv.org/abs/1906.09491
Autor:
Boix, Alberto F., Hernández, Daniel J., Kadyrsizova, Zhibek, Katzman, Mordechai, Malec, Sara, Robinson, Marcus, Schwede, Karl, Smolkin, Daniel, Teixeira, Pedro, Witt, Emily E.
Publikováno v:
J. Softw. Alg. Geom. 9 (2019) 89-110
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, $p^{-e}$-linear and $p^{e}$-linear maps, singularities defined in terms of these maps, different ty
Externí odkaz:
http://arxiv.org/abs/1810.02770
In this paper, we characterize the (generalized) Frobenius powers and critical exponents of two classes of monomial ideals of a polynomial ring in positive characteristic: powers of the homogeneous maximal ideal, and ideals generated by positive powe
Externí odkaz:
http://arxiv.org/abs/1808.09508
This article extends the notion of a Frobenius power of an ideal in prime characteristic to allow arbitrary nonnegative real exponents. These generalized Frobenius powers are closely related to test ideals in prime characteristic, and multiplier idea
Externí odkaz:
http://arxiv.org/abs/1802.02705
In this note, we consider a corollary of the ACC conjecture for F-pure thresholds. Specifically, we show that the F-pure threshold (and more generally, the test ideals) associated to a polynomial with an isolated singularity are locally constant in t
Externí odkaz:
http://arxiv.org/abs/1801.05506
Autor:
Hernández, Daniel J., Jeffries, Jack
This article is concerned with the asymptotic behavior of certain sequences of ideals in rings of prime characteristic. These sequences, which we call $p$-families of ideals, are ubiquitous in prime characteristic commutative algebra (e.g., they occu
Externí odkaz:
http://arxiv.org/abs/1701.02575
We establish a "second vanishing theorem" for local cohomology modules over regular rings of unramified mixed characteristic, which relates the connectedness of the spectrum of a ring with the vanishing of local cohomology. Applying this, and new res
Externí odkaz:
http://arxiv.org/abs/1609.05846
We investigate the Lyubeznik numbers, and the injective dimension of local cohomology modules, of finitely generated $\mathbb{Z}$-algebras. We prove that the mixed characteristic Lyubeznik numbers and the standard ones agree locally for almost all re
Externí odkaz:
http://arxiv.org/abs/1512.02298