Results 21 to 30 of about 1,240 (281)
The Hodge conjecture: The complications of understanding the shape of geometric spaces
Mètode Science Studies Journal: Annual Review, 2018 The Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimulus for the development of several theories based on ...
Vicente Muñoz Velázquez
doaj +1 more source
Smoothing toroidal crossing spaces
Forum of Mathematics, Pi, 2021 We prove the existence of a smoothing for a toroidal crossing space under mild assumptions. By linking log structures with infinitesimal deformations, the result receives a very compact form for normal crossing spaces.
Simon Felten, Matej Filip, Helge Ruddat
doaj +1 more source
Moduli space holography and the finiteness of flux vacua
Journal of High Energy Physics, 2021 A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string compactifications.
Thomas W. Grimm
doaj +1 more source
The Hodge conjecture for certain moduli varieties [PDF]
, 1995 For smooth projective varieties X over C, the Hodge Conjecture states that every rational Cohomology class of type (p, p) comes from an algebraic cycle.
Balaji, V.
core +1 more source
Rank-2 attractors and Deligne’s conjecture
Journal of High Energy Physics, 2021 In this paper, we will study the arithmetic geometry of rank-2 attractors, which are Calabi-Yau threefolds whose Hodge structures admit interesting splits. We will develop methods to analyze the algebraic de Rham cohomologies of rank-2 attractors, and we
Wenzhe Yang
doaj +1 more source
A Proof of the Hodge Conjecture
A Proof of the Hodge Conjecture4 KJ00004551530 論文 ...
+10 more sources
On the integral Hodge conjecture for real varieties, II [PDF]
, 2019 International audienceWe establish the real integral Hodge conjecture for 1-cycles on various classes of uniruled threefolds (conic bundles, Fano threefolds with no real point, some del Pezzo fibrations) and on conic bundles over higher-dimensional bases
Olivier Benoist +3 more
core +1 more source
MULTIPLICATIVE SUB-HODGE STRUCTURES OF CONJUGATE VARIETIES
Forum of Mathematics, Sigma, 2014 For any subfield $K\subseteq \mathbb{C}$ , not contained in an imaginary quadratic extension of
STEFAN SCHREIEDER
doaj +1 more source
Moduli stabilization in asymptotic flux compactifications
Journal of High Energy Physics, 2022 We present a novel strategy to systematically study complex-structure moduli stabilization in Type IIB and F-theory flux compactifications. In particular, we determine vacua in any asymptotic regime of the complex-structure moduli space by exploiting ...
Thomas W. Grimm +2 more
doaj +1 more source
Hepatology, EarlyView., 2022 Increased liver content of DHA‐derived small lipid autacoids (i.e resolvin D1 and maresin 1) associates with enhanced mitochondrial oxidative phosphorylation, fatty acid β‐oxidation and bioenergetic metabolic flux. These features provide hepatic protection from steatotic, pro‐inflammatory and fibrogenic insults.
Cristina López‐Vicario +12 more
wiley +1 more source