A Fulton–Hansen theorem for almost homogeneous spaces

We prove a generalization of the Fulton–Hansen connectedness theorem, where $${\mathbb {P}}^n$$ P n is replaced by a normal variety on which an algebraic group acts with a dense orbit.

Wahl maps and extensions of canonical curves and K⁢3K3 surfaces

Let C be a smooth projective curve (resp. {(S,L)} a polarized {K3} surface) of genus {g\geqslant 11}, with Clifford index at least 3, considered in its canonical embedding in {\mathbb{P}^{g-1}} (resp. in its embedding in {|L|^{\vee}\cong\mathbb{P}^{g}}). We prove that C (resp. S) is a linear section of an arithmetically Gorenstein normal variety Y in {\mathbb{P}^{g+r}}, not a cone, with {\dim(Y)=r+2} and {\omega_{Y}=\mathcal{O}_{Y}(-r)}, if the cokernel of the Gauss–Wahl map of C (resp. {\operatorname{H}^{1}(T_{S}\otimes L^{\vee})}) has dimension larger than or equal to {r+1} (resp. r). This relies on previous work of Wahl and Arbarello–Bruno–Sernesi. We provide various applications.

Variasi normal lidah manusia pada subras DeutromelayuNormal variation of human tongue on the Deutromelayu subrace

Pendahuluan: Lidah merupakan suatu organ yang terdiri dari otot rangka dan dilapisi oleh membran mukosa. Organ ini merupakan salah satu indikator yang baik untuk diagnosis secara klinis dan karakteristiknya dapat dipengaruhi oleh ras. Tujuan penelitian ini adalah untuk mengetahui gambaran variasi normal lidah manusia pada subras Deutromelayu sebagai suatu karakteristik lidah. Metode: Penelitian deskriptif yang dilakukan pada 96 mahasiswa Fakultas Kedokteran Gigi Universitas Padjadjaran angkatan 2014 yang terdiri dari 87 wanita dan 9 laki-laki. Sampel diambil dengan teknik purposive sampling. Penelitian dilakukan dengan mengamati lidah secara visual dalam keadaan protrusif dan tidak tegang. Lidah diamati berdasarkan bentuk dan tekstur permukaan kemudian difoto untuk dokumentasi. Hasil: Persentase bentuk lidah yang paling banyak ditemukan adalah persegi, membulat, persegi panjang, dan segitiga tajam sebanyak 46,87%, 44,79%, 5,20%, 3,12%, dan tidak ditemukan bentuk segitiga tumpul. Tekstur permukaan yang paling banyak muncul adalah tanpa fisura, diikuti oleh fisura vertikal sentral, vertikal lateral, sentral, dan horizontal sebanyak 54,17%, 18,75%, 14,58%, 8,33%, dan 4,17%. Simpulan: Variasi normal bentuk lidah yang paling sering muncul adalah persegi dan tekstur permukaan adalah tanpa fisura.Kata kunci: Variasi normal, lidah, subras deutromelayu. ABSTRACTIntroduction: Tongue is an organ composed of skeletal muscles and is coated by mucous membrane. This organ is a good indicator for clinical diagnosis and is affected by race. The aim of this research was to ascertain normal varieties description of human tongues on the Deutero melayu sub race as a tongue characteristic. Methods: A descriptive method was used in this research, conducted on 96 Faculty of Dentistry Universitas Padjadjaran undergraduate students consisted of 87 females and 9 males. Sample were obtained by purposive sampling technique. This research was done by visually observing the relax and protrusive tongue. The tongue was observed based on its shape as well as surface texture and a picture was taken for documentation. Result: This research showed that the most common shape of the tongue were square, round, rectangular, acute triangular 46.87%, 44,79%, 5,20%, 3,12% respectively and there was no obtuse triangular. The most common surface texture is without fissures, followed by vertical central fissures, vertical lateral fissures, central fissures and horizontal 54,17%, 18,75%, 14,58%, 8,33%, and 4,17% respectively. Conclusion: Square-shaped tongues was the most dominant shape, and no fissures was the most dominant surface texture on a normal variety tongue.Keywords: Normal variation, deutromelayu subrace, tongue.

Pharmacological Study on Wild Variety of Coccinia indica

The current investigation dealt with pharmacological study of Coccinia indica (wild). For past several years, various medicinal plants were increasingly studied for the treatment of different ailments. The normal variety of C. indica was extensively used for home remedies and household purposes. But the wild variety of C. indica tastes bitter and showed good pharmacological activity. The current study revealed that ABTS assay was shown more scavenging activity than DPPH assay. The methanol extract of C. indica showed effective antioxidant activity than aqueous extract, but the property of anti inflammatory, aqueous extract of showed C. indica showed better anti inflammatory activity.

The divisor class group of splittable Zariski surfaces

Let [Formula: see text] be an algebraically closed field of characteristic [Formula: see text] and [Formula: see text]. Let [Formula: see text] be a normal variety defined by the equation [Formula: see text]. If [Formula: see text] is a product of [Formula: see text] linear factors in [Formula: see text], not necessarily homogeneous, where [Formula: see text] equals the degree of [Formula: see text], we say that [Formula: see text] is splittable. In this paper, we calculate the group of Weil divisors of a splittable [Formula: see text] for a generic [Formula: see text] when the characteristic of [Formula: see text] equals [Formula: see text]. In the process, we describe a general approach to studying class groups of splittable [Formula: see text] that we believe should yield results when [Formula: see text].

On the fundamental groups of normal varieties

We show that the fundamental groups of normal complex algebraic varieties share many properties of the fundamental groups of smooth varieties. The jump loci of rank one local systems on a normal variety are related to the jump loci of a resolution and of a smoothing of this variety.

Effects of Short-Day and Gibberellic Acid Treatments on Summer Vegetative Propagation of Napier Grass (Pennisetum purpureumSchumach)

The effects of short-day (SD) and gibberellic acid (GA3) treatments on promoting vegetative propagation during the summer were examined in Napier grass (Pennisetum purpureumSchumach). A dwarf variety of late heading type (DL) Napier grass was exposed to three SD treatments (5, 10, and 20 short days plus a spray of 400 ppm GA3solution following each SD treatment, GASD) or no treatment (control). Additionally, then, a dwarf variety of early heading (DE) and the normal variety of Merkeron (ME) were exposed to 10 days of GA-SD treatment together with nontreated controls. For DL and DE, GA-SD treatments showed the following effects: 10-day GA-SD treatment increased significantly (P<0.05) the length of lateral tiller buds, maintained a high rooting percentage, and increased the diameter of the tiller buds. This resulted in a taller plant, one with enhanced tiller numbers, and thus a greater number of established nursery plants for the two dwarf varieties. In contrast, there was only a limited positive effect of the GA-SD treatments on the normal variety, ME. Thus, 10 days of GA-SD treatment was judged to be the most effective treatment for promoting lateral tiller bud elongation and early maturation in tiller buds for the two dwarf varieties of Napier grass.

Log canonical pairs with good augmented base loci

Let $(X,B)$ be a projective log canonical pair such that $B$ is a $\mathbb{Q}$-divisor, and that there is a surjective morphism $f: X\to Z$ onto a normal variety $Z$ satisfying $K_X+B\sim _{\mathbb{Q}} f^*M$ for some big $\mathbb{Q}$-divisor $M$, and the augmented base locus ${\mathbf{B}}_+(M)$ does not contain the image of any log canonical centre of $(X,B)$. We will show that $(X,B)$ has a good log minimal model. An interesting special case is when $f$ is the identity morphism.

Invariants of reflection groups, arrangements, and normality of decomposition classes in Lie algebras

Suppose that W is a finite, unitary, reflection group acting on the complex vector space V and X is a subspace of V. Define N to be the setwise stabilizer of X in W, Z to be the pointwise stabilizer, and C=N/Z. Then restriction defines a homomorphism from the algebra of W-invariant polynomial functions on V to the algebra of C-invariant functions on X. In this note we consider the special case when W is a Coxeter group, V is the complexified reflection representation of W, and X is in the lattice of the arrangement of W, and give a simple, combinatorial characterization of when the restriction mapping is surjective in terms of the exponents of W and C. As an application of our result, in the case when W is the Weyl group of a semisimple, complex Lie algebra, we complete a calculation begun by Richardson in 1987 and obtain a simple combinatorial characterization of regular decomposition classes whose closure is a normal variety.

Individuation and Diversity

Nowadays, our life is characterized by an increasing complexity and variety in the use of technology: highly idiosyncratic experiences in technology use have become rule rather than exceptions. Such “normal” variety has an impact on the field of Human-Computer Interaction by posing a new challenge, that of ‘individuation’, i.e. passing from research and design for the ‘average user’, to research and design for ‘individuals’. We maintain that HCI is in the middle of such a transition and that it should actively develop proper means to address the complexity of idiosyncratic uses of technology. Such a transition will mark a shift from ‘nomothetic’ to ‘idiographic’ approaches.