Rational Lagrangian fibrations on punctual Hilbert schemes of K3 surfaces

A rational Lagrangian fibration f on an irreducible symplecitc variety V is a rational map which is birationally equivalent to a regular surjective morphism with Lagrangian fibers. By analogy with K3 surfaces, it is natural to expect that a rational Lagrangian fibration exists if and only if V has a divisor D with Bogomolov--Beauville square 0. This conjecture is proved in the case when V is the punctual Hilbert scheme of a generic algebraic K3 surface S. The construction of f uses a twisted Fourier--Mukai transform which induces a birational isomorphism of V with a certain moduli space of twisted sheaves on another K3 surface M, obtained from S as its Fourier--Mukai partner.Comment: Final version; minor change

On rigidity of locally symmetric spaces

In this note I generalize the classical results of Calabi-Vesentini to certain non-compact locally symmetric domains, namely those that are quotients of a hermitian symmetric domain by a neat arithmetic subgroup of the group of its holomorphic automorphisms.Comment: To be published in the M\"unster Journal of Mathematic

Modeling Global Syntactic Variation in English Using Dialect Classification

This paper evaluates global-scale dialect identification for 14 national varieties of English as a means for studying syntactic variation. The paper makes three main contributions: (i) introducing data-driven language mapping as a method for selecting the inventory of national varieties to include in the task; (ii) producing a large and dynamic set of syntactic features using grammar induction rather than focusing on a few hand-selected features such as function words; and (iii) comparing models across both web corpora and social media corpora in order to measure the robustness of syntactic variation across registers

Derived invariants of irregular varieties and Hochschild homology

We study the behavior of cohomological support loci of the canonical bundle under derived equivalence of smooth projective varieties. This is achieved by investigating the derived invariance of a generalized version of Hochschild homology. Furthermore, using techniques coming from birational geometry, we establish the derived invariance of the Albanese dimension for varieties having non-negative Kodaira dimension. We apply our machinery to study the derived invariance of the holomorphic Euler characteristic and of certain Hodge numbers for special classes of varieties. Further applications concern the behavior of particular types of fibrations under derived equivalence.Comment: Small fixes and substantial expository improvements. 22 page

Effect of drying process on antioxidant properties of date palm fruits

Aim. In order to identify antioxidant activities and phenolic compound, two varieties of date palm (Mazfati and Kalute varieties) (Phoenix dactylifera) fruits (DPF) from Iran systematically evaluated. Methods. Antioxidant activity determined using typical methods such as DPPH, reducing power and total antioxidant method. The total phenolic content of the dates was measured using Folin-Ciocalteau method. The included samples were gathered at three stages of khalaal, rutab, tamr and dried date from Sam and Jiroft date. The total phenolic content ranged from 1074, 856.4 and 723.8 in Mozafati variety and 921.5, 723.5 and 785.3 mg gallic acid equivalents (GAE/100-g-dw sample) in Kalute variety for khalal, rutab and tamr stage, respectively. Results. In both varieties antioxidant activities and total phenolic content decreased by ripening stages. Result of drying process showed that total phenolic content and antioxidant activities varied from temperature and decreased by increase of drying temperature. Conclusion. This research demonstrates Iranian dates could be potential rich resources of natural antioxidants, and could be developed into functional foods or drug for the prevention and treatment of diseases caused by oxidative stress

Integrated and Ecological Crop Protection (I/ECP)

Manual on integrated and ecological crop protectio

Numerical semigroups problem list

We propose a list of open problems in numerical semigroups.Comment: To appear in the CIM Bulletin, number 33. (http://www.cim.pt/) 13 page

Ninety-day oral toxicity studies on two genetically modified maize MON810 varieties in Wistar Han RCC rats (EU 7th Framework Programme project GRACE)

The GMO Risk Assessment and Communication of Evidence (GRACE; www.grace-fp7.eu) project is funded by the European Commission within the 7th Framework Programme. A key objective of GRACE is to conduct 90-day animal feeding trials, animal studies with an extended time frame as well as analytical, in vitro and in silico studies on genetically modified (GM) maize in order to comparatively evaluate their use in GM plant risk assessment. In the present study, the results of two 90-day feeding trials with two different GM maize MON810 varieties, their near-isogenic non-GM varieties and four additional conventional maize varieties are presented. The feeding trials were performed by taking into account the guidance for such studies published by the EFSA Scientific Committee in 2011 and the OECD Test Guideline 408. The results obtained show that the MON810 maize at a level of up to 33 % in the diet did not induce adverse effects in male and female Wistar Han RCC rats after subchronic exposure, independently of the two different genetic backgrounds of the event

Organic Horticultural Seed Trials in Wales

Under the organic standards, producers are required to use organic seed. However, a derogation can be obtained from the appropriate certification body that allows the use of (untreated) non organic seed where appropriate organic material is not available. There are, however, a number of barriers to the wider use of organic seed including: • Many of the industry’s standard varieties are not available in organic seed. The lifting of the derogation would oblige growers to use varieties of which they had little of no experience • By extension of the previous point, many popular varieties will no longer be available on the organic markets. It uncertain whether retailers, and in turn their customers, would accept alternative varieties • There is little information on the agronomic performance of varieties that are available in organic seed, making variety choice a difficult decision for growers. • The quality of organic seed is perceived to be of lower quality in terms of viability, vigour and freedom from pest and disease problems than conventional seed. As of 1 January 2004, growers cannot obtain a derogation on the basis of quality, and this potentially brings an element of urgency to the situation. In the long term the organic sector remains committed to lifting the derogation on a crop-bycrop basis as and when conditions allow, and the industry needs to be prepared for this eventuality. This work aims to make a contribution to this end by providing information on the performance of varieties that are available in organic seed, thus helping growers to make a more informed decision about variety choice. The trials were carried out at Welsh College of Horticulture, and were funded by Farming Connect. They were coordinated by Organic Centre Wales as part of the Farming Connect Organic Development Programme. Objectives The objectives of the trial was to assess the performance of selected varieties grown from organic seed in terms of: • Germination • Vigour • Uniformity • Pest and disease incidence • Yield • Marketable yield (as percentage of total yield) • Fault