A Kirwan Blow-up and Trees of Vector Bundles
نویسنده
چکیده
In the paper [MTT] a conceptuel description of compactifications of moduli spaces of stable vector bundles on surfaces has been given, whose boundaries consist of vector bundles on trees of sufaces. In this article a typical basic case for the projective plane is described explicitly including the constrution of a relevant Kirwan blow up.
منابع مشابه
A note on blow-up in parabolic equations with local and localized sources
This note deals with the systems of parabolic equations with local and localized sources involving $n$ components. We obtained the exponent regions, where $kin {1,2,cdots,n}$ components may blow up simultaneously while the other $(n-k)$ ones still remain bounded under suitable initial data. It is proved that different initial data can lead to different blow-up phenomena even in the same ...
متن کاملA note on critical point and blow-up rates for singular and degenerate parabolic equations
In this paper, we consider singular and degenerate parabolic equations$$u_t =(x^alpha u_x)_x +u^m (x_0,t)v^{n} (x_0,t),quadv_t =(x^beta v_x)_x +u^q (x_0,t)v^{p} (x_0,t),$$ in $(0,a)times (0,T)$, subject to nullDirichlet boundary conditions, where $m,n, p,qge 0$, $alpha, betain [0,2)$ and $x_0in (0,a)$. The optimal classification of non-simultaneous and simultaneous blow-up solutions is determin...
متن کاملBLOW-UP AND NONGLOBAL SOLUTION FOR A FAMILY OF NONLINEAR HIGHER-ORDER EVOLUTION PROBLEM
In this paper we consider a kind of higher-order evolution equation as^{kt^{k} + ^{k&minus1}u/t^{k&minus1} +• • •+ut &minus{delta}u= f (u, {delta}u,x). For this equation, we investigate nonglobal solution, blow-up in finite time and instantaneous blow-up under some assumption on k, f and initial data. In this paper we employ the Test function method, the eneralized convexity method an...
متن کاملVector bundles on a neighborhood of an exceptional curve and elementary transformations
Let W be the germ of a smooth complex surface around an exceptional curve and let E be a rank 2 vector bundle on W. We study the cohomological properties of a finite sequence {Ei}1≤ i ≤ t of rank 2 vector bundles canonically associated to E. We calculate numerical invariants of E in terms of the splitting types of Ei, 1 ≤ i ≤ t. If S is a compact complex smooth surface and E is a rank two bundl...
متن کاملThe Hodge Numbers of the Moduli Spaces of Vector Bundles over a Riemann Surface
Let M(n, d) denote the moduli space of stable holomorphic vector bundles of coprime rank n and degree d over a fixed Riemann surface Σ of genus g ≥ 2. Let Λ be a fixed line bundle over Σ of degree d and let MΛ(n, d) ⊂ M(n, d) denote the space consisting of those bundles with determinant Λ. The spaces M(n, d) and MΛ(n, d) are nonsingular complex projective varieties whose geometry has been much ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016