We describe a natural action on the Quot scheme, Rd compactifying the space of degree d maps from P to the Grassmannian of lines. We identify the fixed points components for this action and the weights of the normal bundle of these components. We compute the degree of this Quot scheme under the generalized Plücker embedding by applying Atiyah-Bott localization formula.

The authors consider the methodological possibilities of working with word and text as units language culture in Russian lessons substantiate idea need to create a tool that allows comprehending linguistic cultural relationship. propose define build logic immersion student through systematic implementation two mutually dependent directions study school course ("from text" &amp...

Let S be a smooth projective surface over the field of complex numbers C. Fix a closed point s ∈ S and a pair of positive integers r, d. By results of Grothendieck (cf. [6], [11]) there exists a projective scheme Quot [s] (r, d) parametrizing all quotient sheaves O ⊕r S → A of length d supported at s. We consider this scheme with its reduced scheme structure and call it the punctual Quot scheme...

"Chang'an Prevailing Features" is the inner spirit that integrates temperament of times, national spirit, ideology and aesthetic concept reflected in ancient Chang'an. This article takes as exposition content, uses "unit concept" history ideas, popular pattern cases Chang'an area research object, studies its existence operation methods...

background: eukaryotic proteins generally have signal peptides, which are not only crucial for their secretion efficiencies but are important for their expression levels. the coagulation factor ix (fix) is a glycoprotein that plays a fundamental role in a blood coagulation pathway. reduced levels or dysfunctional fix are associated with hemophilia b. to improve the hfix secretion efficiency in ...