Results 21 to 30 of about 365 (63)
Inversion of Adjunction for the minimal exponent
Forum of Mathematics, SigmaWe prove that the minimal exponent for local complete intersections satisfies an Inversion-of-Adjunction property. As a result, we also obtain the Inversion of Adjunction for higher Du Bois and higher rational singularities for local complete ...
Qianyu Chen
doaj +1 more source
On a theorem of Campana and P\u{a}un
, 2017 Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\u{a}un: If some tensor power of the ...
Schnell, Christian
core +1 more source
Weak positivity via mixed Hodge modules
, 2014 We prove that the lowest nonzero piece in the Hodge filtration of a mixed Hodge module is always weakly positive in the sense of Viehweg.Comment: 9 ...
Schnell, Christian
core +1 more source
On a question of Demailly-Peternell-Schneider
, 2012 This note aims to give an affirmative answer to an open question posed by Demailly-Peternell-Schneider [DPS] in 2001 and recently by Peternell [P] again.
Chen, Meng, Zhang, Qi
core +1 more source
Forum of Mathematics, PiFor a reduced hyperplane arrangement, we prove the analytic Twisted Logarithmic Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights defining the twist.
Daniel Bath
doaj +1 more source
Effective bounds on ampleness of cotangent bundles
, 2019 We prove that a general complete intersection of dimension $n$, codimension $c$ and type $d_1, \dots, d_c$ in $\mathbb{P}^N$ has ample cotangent bundle if $c \geq 2n-2$ and the $d_i$'s are all greater than a bound that is $O(1)$ in $N$ and quadratic in ...
Coskun, Izzet, Riedl, Eric
core +2 more sources
On the center of the ring of differential operators on a smooth variety over $\bZ/p^n\bZ$
, 2011 We compute the center of the ring of PD differential operators on a smooth variety over $\bZ/p^n\bZ$ confirming a conjecture of Kaledin. More generally, given an associative algebra $A_0$ over $\bF_p$ and its flat deformation $A_n$ over $\bZ/p^{n+1}\bZ ...
Allen Stewart +4 more
core +1 more source
Exponents of some one-dimensional Gauss-Manin cohomologies
, 2017 In this paper we provide a purely algebraic characterization of the exponents of one-dimensional direct images of a structure sheaf by a rational function, related to the vanishing of the cohomologies of a certain Koszul complex associated with such a ...
Domínguez, Alberto Castaño
core +1 more source
Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems
, 2013 For a local system and a function on a smooth complex algebraic variety, we give a proof of a conjecture of M. Kontsevich on a formula for the vanishing cycles using the twisted de Rham complex of the formal microlocalization of the corresponding locally
Sabbah, Claude, Saito, Morihiko
core +3 more sources
Relative Riemann-Hilbert correspondence in dimension one
, 2017 We prove that, on a Riemann surface, the functor $\mathrm{RH}^S$ constructed in a previous work as a right quasi-inverse of the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible ...
Fernandes, Teresa Monteiro +1 more
core +3 more sources