Derived categories of cubic fourfolds

We discuss the structure of the derived category of coherent sheaves on cubic fourfolds of three types: Pfaffian cubics, cubics containing a plane and singular cubics, and discuss its relation to the rationality of these cubics.Comment: 18 page

On Random Unitary Channels

In this article we provide necessary and sufficient conditions for a completely positive trace-preserving (CPT) map to be decomposable into a convex combination of unitary maps. Additionally, we set out to define a proper distance measure between a given CPT map and the set of random unitary maps, and methods for calculating it. In this way one could determine whether non-classical error mechanisms such as spontaneous decay or photon loss dominate over classical uncertainties, for example in a phase parameter. The present paper is a step towards achieving this goal.Comment: 11 pages, typeset using RevTeX

ОПРОКИНУТАЯ ЭОЦЕН-НИЖНЕПЛИОЦЕНОВАЯ АЛЛЮВИАЛЬНАЯ ТОЛЩА НА ЮЖНОМ БЕРЕГУ ОЗ. БАЙКАЛ И ЕЕ НЕОТЕКТОНИЧЕСКОЕ ЗНАЧЕНИЕ

The study is focused on a section of sediments exposed on the right bank of Mishikha River, Russia. These sediments have a wide range of ages, from the Eocene to the Lower Pliocene. The stratigraphic subdivision of the section is based on the lithogeochemical data and X-ray phase analysis of the mineral compositions. The particle-size analysis shows the alluvial origin of the deposits. Their ages are constrained by spore-pollen spectra in three palynozones: I – Eocene – Oligocene, II – Early – Middle Miocene (subzone a – Tsuga, Picea in the lower part, and Quercus, Taxodiaceae, Momipites, Carya in the upper part; subzone b – Fagus, Quercus, Tsuga), and III – the Late Miocene – beginning of the Pliocene (subzone ν – Ulmus, Juglans, Carya; subzone g – Carya, Alnus). The section shows a combination of normal and overturned sedimentary layers. The tectonic displacement of the block with its flip was accompanied by the entry into contact of the unlithified Pliocene sediments with a rigid bed and the development of a landslide. The lower age limit of deformations is constrained from the youngest (beginning of the Pliocene) spore and pollen spectrum extracted from deformed layers. It is suggested that the overturned layers result from strike-slip deformations of the sediments at the beginning of the late orogenic stage of the Baikal rift development. The regional correlations of the sedimentary strata give grounds to conclude that the Mishikha section is characteristic of alluvial sedimentation that dominated at the eastern end of the Tankhoi tectonic step (Mishikha-Klyuevka paleovalley), in contrast to the Tankhoi block in the central part of the step, wherein a thick Lower Miocene stratum of swampy-oxbow sediments accumulated. The stratons of the Mishikha section correlate with sedimentary units detected by drilling in the Selenga delta at the central part of the South Baikal basin.Разрез осадочных отложений широкого (эоцен-нижнеплиоценового) возрастного диапазона вскрыт и изучен на правобережье р. Мишиха. Стратиграфическое расчленение разреза основано на данных литогеохимии и рентгенофазового анализа минерального состава отложений. По результатам гранулометрического анализа сделан вывод об аллювиальном происхождении отложений. Их возраст определен по спорово-пыльцевым спектрам, которые отнесены к трем палинозонам: I – эоцена – олигоцена, II – раннего и среднего миоцена (подзона a – в нижней части Tsuga, Picea, в верхней части Quercus, Taxodiaceae, Momipites, Carya; подзона b – Fagus, Quercus, Tsuga) и III – позднего миоцена – начала плиоцена (подзона ν – Ulmus, Juglans, Carya; подзона g – Carya, Alnus). В разрезе установлено сочетание нормального и опрокинутого залегания осадочных слоев. Тектоническое смещение блока с его переворотом сопровождалось вхождением в контакт нелитифицированных плиоценовых осадков с жесткой подложкой и развитием оползня. Нижний предельный возраст деформаций определен по наиболее молодому (начало плиоцена) спорово-пыльцевому спектру, полученному в деформированных слоях. Предполагается, что в опрокинутом залегании реализованы присдвиговые деформации отложений в начале позднеорогенного этапа развития Байкальского рифта. Из региональных корреляций толщ сделан вывод о том, что Мишихинский разрез характеризует аллювиальное осадконакопление, которое доминировало на восточном окончании Танхойской тектонической ступени, в Мишихинско-Клюевской палеодолине, в отличие от Танхойского блока центральной части ступени, в котором обнажена мощная нижнемиоценовая толща болотно-старичной фации. Стратоны Мишихинского разреза коррелируются со стратонами, вскрытыми скважинами в дельте р. Селенги в центральной части Южно-Байкальской впадины

Overturned Eocene – Lower Pliocene alluvial stratum on the southern coast of Lake Baikal and its neotectonic significance

The study is focused on a section of sediments exposed on the right bank of Mishikha River, Russia. These sediments have a wide range of ages, from the Eocene to the Lower Pliocene. The stratigraphic subdivision of the section is based on the lithogeochemical data and X-ray phase analysis of the mineral compositions. The particle-size analysis shows the alluvial origin of the deposits. Their ages are constrained by spore-pollen spectra in three palynozones: I – Eocene – Oligocene, II – Early – Middle Miocene (subzone a – Tsuga, Picea in the lower part, and Quercus, Taxodiaceae, Momipites, Carya in the upper part; subzone b – Fagus, Quercus, Tsuga), and III – the Late Miocene – beginning of the Pliocene (subzone ν – Ulmus, Juglans, Carya; subzone g – Carya, Alnus). The section shows a combination of normal and overturned sedimentary layers. The tectonic displacement of the block with its flip was accompanied by the entry into contact of the unlithified Pliocene sediments with a rigid bed and the development of a landslide. The lower age limit of deformations is constrained from the youngest (beginning of the Pliocene) spore and pollen spectrum extracted from deformed layers. It is suggested that the overturned layers result from strike-slip deformations of the sediments at the beginning of the late orogenic stage of the Baikal rift development. The regional correlations of the sedimentary strata give grounds to conclude that the Mishikha section is characteristic of alluvial sedimentation that dominated at the eastern end of the Tankhoi tectonic step (Mishikha-Klyuevka paleovalley), in contrast to the Tankhoi block in the central part of the step, wherein a thick Lower Miocene stratum of swampy-oxbow sediments accumulated. The stratons of the Mishikha section correlate with sedimentary units detected by drilling in the Selenga delta at the central part of the South Baikal basin

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