We prove that any genus-2 Lefschetz ﬁbration without reducible ﬁbers and with “transitive monodromy” is holomorphic. The latter condition comprises all cases where the number of singular ﬁbers µ ∈ 10N is not congruent to 0 modulo 40. This proves a conjecture of the authors in [SiTi1]. An auxiliary statement of independent interest is the holomorphicity of symplectic surfaces in S 2 -bundles over S 2 , of relative degree ≤ 7 over the base, and of symplectic surfaces in CP2 of degree ≤ 17. ...
Annals of Mathematics
By Curtis T. McMullen*
.Annals of Mathematics, 165 (2007), 397–456
Dynamics of SL2(R) over moduli space in genus two
By Curtis T. McMullen*
Abstract This paper classiﬁes orbit closures and invariant measures for the natural action of SL2 (R) on ΩM2 , the bundle of holomorphic 1-forms over the moduli space of Riemann surfaces of genus two. Contents 1. Introduction 2. Dynamics and Lie groups 3. Riemann surfaces and holomorphic 1-forms 4. Abelian varieties with real multiplication 5. Recognizing eigenforms 6. Algebraic sums of 1-forms 7.
This paper is the ﬁrst in a series where we describe the space of all embedded minimal surfaces of ﬁxed genus in a ﬁxed (but arbitrary) closed Riemannian 3-manifold. The key for understanding such surfaces is to understand the local structure in a ball and in particular the structure of an embedded minimal disk in a ball in R3 (with the ﬂat metric). This study is undertaken here and completed in [CM6]. These local results are then applied in [CM7] where we describe the general structure of ﬁxed genus surfaces in 3-manifolds. There are two local models for...
Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Selection of allozyme genotypes of two species of marine gastropods (genus Littorina) in experiments of environmental stress by nonionic detergent and crude oil-surfactant mixtures
Worldwide, one in five women has a child by the
age of 18. In the poorest regions of the world, this rises to over
one in three women.
Adolescent pregnancies are more likely to occur
among poor, less educated and rural populations.
WHO’s recommendations for reducing early pregnancy are informed by
two graded systematic reviews, three ungraded studies, as well as the
conclusions of an expert panel.
The Upper Jurassic deposits of Milne Land lie in a key area for Jurassic Boreal
ammonite stratigraphy. Early collections brought back to Copenhagen by Rosenkrantz
(1929) and Aldinger (1935) were described in two classical monographs by
Spath (1935, 1936), and all these works continue to form the basis for subsequent
stratigraphical and palaeontological revisions. Since then extensive field work and
collecting have yielded important new material and much more detailed stratigraphical
information (Callomon, 1961; Hikansson et al., 1971; Birkelund et al.
The structure of the O-polysaccharide of the lipopolysaccharide from a diarrheal strain isolated in Bangladesh was studied with sugar, and methylation analysis, NMR spectroscopy, mass spectrometry and partial acid hydrolysis. The strain was ﬁrst designated as Hafnia alvei, but later found to be a possible new species in the genus Escherichia. Two diﬀerent polysaccharides were detected, a major and a minor one. The structure of the major polysaccharide is given below, while the structure of the minor one was not investigated. ...
Arisaema omkoiense Gusman and A. ramulosum Anderw. have been described as new
record for Flora of Vietnam. Among them, Arisaema omkoiense was found in Chieng Mai (Thailand)
recently by Gusman, now recorded in Centre Vietnam (Quang Tri and Kontum prov.). The other
one, A. ramulosum Anderw. an endemic of Indonesia for longtime, has been found in Northern
Vietnam (Cao Bang and Bac Can prov.).
Two new species of the genus Thismia (Thismiaceae) – T. annamensis (Sect. Euthismia Schltr., Subsect. Odoardoa Schltr.) and T. tentaculata (Sect. Euthismia Schltr., Subsect. Brunonithismia Jonker) are described and illustrated as new species for science. Both plants were discovered recently in lowland areas of central Vietnam and represents important addition to the flora of this country.
Swans are among the most beautiful of North American waterfowl and have always enjoyed the admiration and even the protection of bird lovers. Of the six species in the swan genus, only two are native to North America. The trumpeter swan, the largest
Macadamia trees (often called the tree people Mac-ca) is one of the crops of high economic value. Macadamia is the common name for nine species of the genus Macadamia, open cross Affairs (Proteaceae) in which two species have commercial value as M. integrifolia Maiden & Betche and M.tetraphylla. L. Johnson. Both species were grown in the eastern coastal regions - South and South East Queensland - Northern New Wales of Australia.
The diversity of bird species is of special importance as it can create responsive and adaptive behaviours among the whole animal population in wild environment. For this reason, the frequent making of inventory lists of bird species helps assess and evaluate the current status of forest resources in natural conservation areas which are inherently under human pressures in our country. During the two years (2009 - 2010) of the study conducted in Huu Lien Nature Reserve in Lang Son province, records have been made of 168 bird species belonging to 117 genus, 54 families, 17 orders.
We study the integral points on surfaces by means of a new method, relying on the Schmidt Subspace Theorem. This method was recently introduced in [CZ] for the case of curves, leading to a new proof of Siegel’s celebrated theorem that any aﬃne algebraic curve deﬁned over a number ﬁeld has only ﬁnitely many S-integral points, unless it has genus zero and not more than two points at inﬁnity. Here, under certain conditions involving the intersection matrix of the divisors at inﬁnity, we shall conclude that the integral points on a surface all lie on a curve. We shall...
The word genre comes from the French meaning type or category. Its roots
are in the Latin word genus, a word which is now used to describe
classification in biology. Using the concept of genre in relation to the moving
image serves much the same purpose. Approaching films in relation to genre
inevitably means treating individual films not as unique works of art but as
members of different categories or groupings.
There are two major approaches to film genre: The Descriptive Approach and
The Functional Approach. ...
Members of the genus Vibrio cause a number of important infectious syndromes. Classic among them is cholera, a devastating diarrheal disease caused by V. cholerae that has been responsible for seven global pandemics and much suffering over the past two centuries. Epidemic cholera remains a significant public health concern in the developing world today. Other vibrioses caused by other Vibrio species include syndromes of diarrhea, soft tissue infection, or primary sepsis. All Vibrio species are highly motile, facultatively anaerobic, curved gram-negative rods with one or more flagella.
Legionellosis refers to the two clinical syndromes caused by bacteria of the genus Legionella. Pontiac fever is an acute, febrile, self-limited illness that has been serologically linked to Legionella species, whereas Legionnaires' disease is the designation for pneumonia caused by these species. Legionnaires' disease was first recognized in 1976, when an outbreak of pneumonia took place at a hotel in Philadelphia during the American Legion Convention.
This paper presents a method to combine a set of unsupervised algorithms that can accurately disambiguate word senses in a large, completely untagged corpus. Although most of the techniques for word sense resolution have been presented as stand-alone, it is our belief that full-fledged lexical ambiguity resolution should combine several information sources and techniques. The set of techniques have been applied in a combined way to disambiguate the genus terms of two machine-readable dictionaries (MRD), enabling us to construct complete taxonomies for Spanish and French. ...
Only about 20% of all extinctions occurred during mass extinctions. The
other 80% are known as background extinctions. For most individual species,
scientists don’t know the precise cause of extinction. But scientists can gather
clues in the broad patterns of extinctions formed by thousands of species. In
2008, Jonathan Payne and Seth Finnegan, two paleontologists at Stanford Uni-
versity, surveyed 227,229 fossils of marine invertebrates from about 520 million
years ago to 20 million years ago.
Dhaman or Oriental Ratsnake Ptyas mucosus is a common species of colubrid snake found in parts of South and Southeast Asia. Growing to nearly two metres, they are large snakes and their colour varies from pale browns in dry regions to nearly black in moist forest areas. They are frequently found in urban areas where rodents thrive. 1. Scientific classification Kingdom: Animalia Phylum: Chordata Class: Reptilia Order: Squamata Suborder: Serpentes Family: Colubridae Genus: Ptyas Species: P. mucosus 2.