We study semistable sheaves of rank $2$ with Chern classes $c_1=0$, $c_2=2$ and $c_3=0$ on the Fano 3-fold $V_5$ Picard number $1$, degree $5$ index $2$. show that moduli space such has a component is isomorphic to $\mathbb{P}^5$ by identifying it quiver representations. This provides natural smooth compactification minimal instantons, as well Ulrich bundles $V_5$.

Abstract We describe a computationally efficient approach to resolving equations of the form $$C_1x^2 + C_2 = y^n$$ C 1 x 2 + = y n </...

In this paper, we prove that for any Kähler metrics $$\omega _0$$ and $$\chi $$ on M, there exists a metric _\varphi =\omega _0+\sqrt{-1}\partial {\bar{\partial }}\varphi >0$$ satisfying the J-equation $${\mathrm {tr}}_{\omega }\chi =c$$ if only $$(M,[\omega _0],[\chi ])$$ is uniformly J-stable. As corollary, find sufficient condition existence of constant scalar curvature with $$c_1<0$$ . Usin...

We show that any symplectically aspherical/Calabi-Yau filling of $Y:=\partial(V\times \mathbb{D})$ has vanishing symplectic cohomology for Liouville domain $V$. In particular, we make no topological requirement on the and $c_1(V)$ can be nonzero. Moreover, $W$ $Y$, interior $\mathring{W}$ is diffeomorphic to $V\times \mathbb{D}$ if $\pi_1(Y)$ abelian $\dim V\ge 4$. And moreover Whitehead group ...

در این پژوهش تقویت باریکه لیزر تپی فمتوثانیه Ti:sapphire ­کننده بازتولیدی با آرایش هندسی Z براساس روش تپ چیرپ بررسی شده است. برای انتقال ورودی اولیه به داخل کاواک و استخراج از دو سلول پاکل استفاده زمان شکل‌گیری برحسب انرژی دمش مطالعه روند تحول مورد قرار گرفته مدت تولید بدون حضور 80 نانوثانیه فرایند 38 نرخ تکرار 10 هرتز طول موج مرکزی 800 نانومتر بیشینه 2 میلی‌ژول بعد 17 رفت برگشت 15 میلی ژول 532...

We develop a factorization framework to compute the double differential cross section in soft drop groomed jet mass and radius. describe effective theories large, intermediate, small radius regions defined by interplay of measurement. As an application we present NLL$'$ results for perturbative moments that are related coefficients $C_1$ $C_2$ specify leading hadronization corrections up three ...

For a graph $$ G = (V, E) with vertex set V and an edge E, function f : \rightarrow \{0, 1, 2, . , diam(G)\} is called broadcast on G. each u \in if there exists v in (possibly, ) such that (v) > 0 d(u, v) \le then dominating The cost of the quantity \sum _{v\in V}f(v) minimum domination number G, denoted by \gamma _{b}(G) A multipacking S \subseteq for every integer r \ge 1 ball radius around ...

Let $X$ be a compact K\"ahler manifold with given ample line bundle $L$. In \cite{Don05}, Donaldson proved that the Calabi energy of metric in $c_1(L)$ is bounded from below by supremum normalized version minus Donaldson--Futaki invariants test configurations $(X,L)$. He also conjectured bound sharp. this paper, we prove analogue Donaldson's conjecture, show if enlarge space to geodesic rays $\...

In this work, we investigate warm inflationary models in the context of a general scalar-tensor theory gravity which is coupled to radiation through dissipation term. We first derive potential exponential and hyperbolic tangent forms. consider parameter form $\Gamma = C_{1}T$ with $C_1$ being coupling focus only on strong regime interaction between inflaton fluid has been taken into account. co...

High-resolution Zeeman spectroscopy of electronic-nuclear hyperfine levels ${^5\mathrm{I}_8}\rightarrow{^5\mathrm{I}_7}$ transitions in Ho$^{3+}$:Y$_2$SiO$_5$ is reported. Crystal-field parameters determined for the two $C_1$ symmetry sites Er$^{3+}$:Y$_2$SiO$_5$ are successfully used to model Zeeman-hyperfine data, including prediction avoided crossings between under influence an external magn...