scholarly journals Hodge Representations

2020 ◽  
Vol 1 ◽  
Author(s):  
Xiayimei Han ◽  
Colleen Robles
Keyword(s):  
Hodge Structures ◽  
Hodge Groups ◽  
Fixed Period

Abstract Green–Griffiths–Kerr introduced Hodge representations to classify the Hodge groups of polarized Hodge structures, and the corresponding Mumford–Tate subdomains. We summarize how, given a fixed period domain $ \mathcal{D} $ , to enumerate the Hodge representations and corresponding Mumford–Tate subdomains $ D \subset \mathcal{D} $ . The procedure is illustrated in two examples: (i) weight two Hodge structures with $ {p}_g={h}^{2,0}=2 $ ; and (ii) weight three CY-type Hodge structures.

Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)

2017 ◽  
Author(s):  
Claire Voisin
Keyword(s):  
Recent Work ◽  
Chow Groups ◽  
Ring Structure ◽  
Complete Intersections ◽  
Algebraic Varieties ◽  
Chow Ring ◽  
Hodge Structures ◽  
Chow Rings ◽  
Geometric Methods ◽  
The Right

This book provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The book is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by the author. It focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by the author looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.

Monitoring of Thermal Degradation of Fireproof Coating

2012 ◽  
Vol 598 ◽  
pp. 379-383 ◽  
Author(s):  
Tomáš Chrebet ◽  
Jozef Martinka ◽  
Karol Balog ◽  
Ivan Hrušovský
Keyword(s):  
Elevated Temperature ◽  
Thermal Degradation ◽  
Fire Resistance ◽  
Air Atmosphere ◽  
Article Deal ◽  
Increasing Temperature ◽  
Fireproof Coating ◽  
Coating Weight ◽  
Fixed Period ◽  
Intended Use

Under the fire conditions, the resistance of cable distribution is required for a fixed period, depending on the intended use of the cable. To increase the fire resistance of cables a fireproof coating may be applied. Article deal with the behavior of the fireproof coating during elevated temperature. Concretely, the aim is monitored a coating weight change under the conditions of dynamically increasing temperature and with or without using air-flow. It is also monitored the change in weight, depending on the isothermal temperatures in dynamic air atmosphere.

scholarly journals On the boundary of the moduli spaces of log Hodge structures: Triviality of the torsor

2010 ◽  
Vol 198 ◽  
pp. 173-190 ◽  
Author(s):  
Tatsuki Hayama
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Hodge Structures

AbstractThis paper examines the moduli spaces of log Hodge structures introduced by Kato and Usui. This moduli space is a partial compactification of a discrete quotient of a period domain. This paper treats the following two cases: (A) where the period domain is Hermitian symmetric, and (B) where the Hodge structures are of the mirror quintic type. Especially it addresses a property of the torsor.

scholarly journals School absences and exclusions experienced by children with learning disabilities and autistic children in 2016/17 in England

2018 ◽  
Vol 23 (4) ◽  
pp. 207-212
Author(s):  
Chris Hatton
Keyword(s):  
Learning Disabilities ◽  
Educational Needs ◽  
Physical Assault ◽  
Learning Difficulty ◽  
Special Educational Needs ◽  
Autistic Children ◽  
Content Type ◽  
Health And Social Care ◽  
School Absences ◽  
Fixed Period

Purpose The purpose of this paper is to examine data on absences and exclusions from school amongst children with learning disabilities and autistic children in England in 2016/2017. Design/methodology/approach Data were drawn from Department for Education statistics for the school year 2016/2017 on school absences (authorised and unauthorised) and school exclusions (fixed-period and permanent) for children in the primary special educational needs categories of moderate learning difficulty (MLD), severe learning difficulty (SLD), profound and multiple learning difficulty (PMLD) and autistic spectrum disorder (ASD). Findings Authorised school absence rates were higher for all groups of children investigated compared to children without special educational needs, primarily due to illnesses and health-related appointments. Rates of unauthorised school absences were low. Rates of fixed-period and permanent school exclusions were higher for children with MLD and ASD compared to children without SEN, and lower for children with SLD and PMLD. Reasons given for exclusions were similar across children (persistent disruptive behaviour, physical assault against a pupil, verbal abuse against an adult), although physical assault against an adult was also commonly mentioned for children with SLD, PMLD or ASD. Social implications Reducing school absences for children with learning disabilities and autistic children will involve co-ordination of health and social care support arrangements to ensure they are convenient and efficient for children and families. In terms of exclusions, schools need to consider the extent to which they are making reasonable adjustments for children with learning disabilities and autistic children. Originality/value This paper presents in one place statistics concerning school absences and school exclusions for children with learning disabilities and autistic children in England.

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