2 00 3 Holomorphic Forms on Threefolds

نویسندگان

  • Qi Zhang
  • QI ZHANG
چکیده

Two conjectures relating the Kodaira dimension of a smooth projective variety and existence of number of nowhere vanishing 1-forms on the variety are proposed and verified in dimension 3. §

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - t h / 99 12 20 8 v 2 1 9 M ay 2 00 0 Standard Models from Heterotic M - theory

We present a class of N = 1 supersymmetric models of particle physics, derived directly from heterotic M-theory, that contain three families of chiral quarks and leptons coupled to the gauge group SU(3)C×SU(2)L×U(1)Y. These models are a fundamental form of “brane-world” theories, with an observable and hidden sector each confined, after compactification on a Calabi–Yau threefold, to a BPS three...

متن کامل

Black Holes and Calabi-Yau Threefolds

We compute the microscopic entropy of certain 4 and 5 dimensional extermal black holes which arise for compactification of M-theory and type IIA on Calabi-Yau 3-folds. The results agree with macroscopic predictions, including some subleading terms. The macroscopic entropy in the 5 dimensional case predicts a surprising growth in the cohomology of moduli space of holomorphic curves in Calabi-Yau...

متن کامل

Cr Singularities of Real Threefolds in C

CR singularities of real threefolds in C4 are classified by using holomorphic coordinate changes to transform the quadratic part of the real defining equations into one of a list of normal forms. In the non-degenerate case, it is shown that a real analytic manifold near a CR singular point is formally equivalent to a real algebraic model. Some degenerate cases also have this property.

متن کامل

On Abelian Families and Holomorphic Normal Projective Connections

1.) Pm(C), 2.) smooth abelian families, 3.) manifolds with universal covering Bm(C). Here Bm(C) denotes the ball in C , the non compact dual of Pm(C) in the sense of hermitian symmetric spaces. The second point inlcudes the flat case of an abelian manifold. Any compact Riemann surface admits a holomorphic normal projective connection, this is the famous uniformization theorem. Kobayashi and Och...

متن کامل

Extremal Metrics on Del Pezzo Threefolds

X iv :0 81 0. 19 24 v3 [ m at h. A G ] 7 F eb 2 00 9 EXTREMAL METRICS ON DEL PEZZO THREEFOLDS IVAN CHELTSOV AND CONSTANTIN SHRAMOV In memory of Vasily Iskovskikh Abstract. We prove the existence of Kähler–Einstein metrics on a nonsingular section of the Grassmannian Gr(2, 5) ⊂ P by a linear subspace of codimension 3, and the Fermat hypersurface of degree 6 in P(1, 1, 1, 2, 3). We also show that...

متن کامل

ذخیره 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 2003