Zobrazeno 1 - 10
of 21
pro vyhledávání: '"14C30, 14F40"'
We define two versions of the archimedean height pairing between certain Bloch higher cycles. Both pairings generalize the archimedean height pairing between ordinary cycles. To do this, we introduce the notion of framed mixed Hodge structures and de
Externí odkaz:
http://arxiv.org/abs/2410.17167
Autor:
Murayama, Takumi
We prove relative injectivity, torsion-freeness, and vanishing theorems for generalized normal crossing pairs on schemes, algebraic stacks, formal schemes, semianalytic germs of complex analytic spaces, rigid analytic spaces, Berkovich spaces, and ad
Externí odkaz:
http://arxiv.org/abs/2406.10800
Autor:
Elduque, Eva, Cueto, Moisés Herradón
In previous work jointly with Geske, Maxim and Wang, we constructed a mixed Hodge structure (MHS) on the torsion part of Alexander modules, which generalizes the MHS on the cohomology of the Milnor fiber for weighted homogeneous polynomials. The coho
Externí odkaz:
http://arxiv.org/abs/2110.03058
Autor:
Sheng, Mao
We establish the twisted functoriality in nonabelian Hodge theory in positive characteristic. As an application, we obtain a purely algebraic proof of the fact that the pullback of a semistable Higgs bundle with vanishing Chern classes is again semis
Externí odkaz:
http://arxiv.org/abs/2105.01385
Autor:
Krishnamoorthy, Raju, Sheng, Mao
We link the periodicity of Hitchin's uniformizing Higgs bundle with the arithmetic geometry of its underlying curve. Some new relations are discovered. We also speculate on the whole class of periodic Higgs bundles.
Comment: 32 pages. This is th
Comment: 32 pages. This is th
Externí odkaz:
http://arxiv.org/abs/2011.03272
Autor:
Rella, Claudia
Publikováno v:
SIGMA 17 (2021), 032, 56 pages
This article gives a short step-by-step introduction to the representation of parametric Feynman integrals in scalar perturbative quantum field theory as periods of motives. The application of motivic Galois theory to the algebro-geometric and catego
Externí odkaz:
http://arxiv.org/abs/2009.00426
Autor:
Sheng, Mao, Shentu, Junchao
We study the $E_1$-degeneration of the logarithmic Hodge to de Rham spectral sequence of the special fiber of a semistable family over a discrete valuation ring. On the one hand, we prove that the $E_1$-degeneration property is invariant under admiss
Externí odkaz:
http://arxiv.org/abs/1903.09908
Autor:
Sheng, Mao, Shentu, Junchao
We answer negatively an open problem of Illusie on the DR-decomposability of the log de Rham complex of the special fiber of a semi-stable reduction over the Witt ring. We also show that $E_1$ degeneration of the Hodge to log de Rham spectral sequenc
Externí odkaz:
http://arxiv.org/abs/1710.07013
Cohomology support loci of rank one local systems of a smooth quasiprojective complex algebraic variety are finite unions of torsion-translated complex subtori of the character variety of the fundamental group. Tangent spaces of the character variety
Externí odkaz:
http://arxiv.org/abs/1504.04287
Autor:
Dimca, Alexandru
Publikováno v:
Compositio Math. 146 (2010) 129-144
We introduce in this paper a hypercohomology version of the resonance varieties and obtain some relations to the characteristic varieties of rank one local systems on a smooth quasi-projective complex variety $M$, see Theorem (3.1) and Corollaries (3
Externí odkaz:
http://arxiv.org/abs/0805.4377