On the Futaki invariants of complete intersections
نویسندگان
چکیده
منابع مشابه
On the Futaki Invariants of Complete Intersections
In 1983, Futaki [2] introduced his invariants which generalize the obstruction of Kazdan-Warner to prescribe Gauss curvature on S. The Futaki invariants are defined for any compact Kähler manifold with positive first Chern class that has nontrivial holomorphic vector fields. Their vanishing are necessary conditions to the existence of Kähler-Einstein metric on the underlying manifold. Let M be ...
متن کاملBando-futaki Invariants on Hypersurfaces
In 1983, Futaki introduced the well-known Futaki invariant [6], which is an obstacle to the existence of Kähler-Einstein metrics on a compact complex manifold with positive first Chern class. Other generalizations of the Futaki invariant were introduced later, all of which are obstructions to certain geometric structures. The Calabi-Futaki invariant [3] is an obstruction to the existence of Käh...
متن کاملOn the Genus-One Gromov-Witten Invariants of Complete Intersections
We state and prove a long-elusive relation between genus-one Gromov-Witten of a complete intersection and twisted Gromov-Witten invariants of the ambient projective space. As shown in a previous paper, certain naturally arising cones of holomorphic vector bundle sections over the main component M 0 1,k(P , d) of the moduli space of stable genus-one holomorphic maps into P have a well-defined eu...
متن کاملInvariants of Hamiltonian Flow on Locally Complete Intersections
We consider the Hamiltonian flow on complex complete intersection surfaces with isolated singularities, equipped with the Jacobian Poisson structure. More generally we consider complete intersections of arbitrary dimension equipped with Hamiltonian flow with respect to the natural top polyvector field, which one should view as a degenerate Calabi-Yau structure. Our main result computes the coin...
متن کاملThe Genus 0 Gromov-Witten Invariants of Projective Complete Intersections
We describe the structure of mirror formulas for genus 0 Gromov-Witten invariants of projective complete intersections with any number of marked points and provide an explicit algorithm for obtaining the relevant structure coefficients. As an application, we give explicit closed formulas for the genus 0 Gromov-Witten invariants of Calabi-Yau complete intersections with 3 and 4 constraints. The ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 1999
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-99-10013-5