JUNG'S THEOREM IN COMPLEX PROJECTIVE GEOMETRY
نویسندگان
چکیده
منابع مشابه
The fundamental theorem of projective geometry
We prove the fundamental theorem of projective geometry. In addition to the usual statement, we also prove a variant in the presence of a symplectic form.
متن کاملAutomated Theorem Proving in Projective Geometry with Bracket Algebra
We present a method which can produce readable proofs for theorems of constructive type involving points, lines and conics in projective geometry. The method extends Wu’s method to bracket algebra and develops the area method of Chou, Gao and Zhang in the framework of projective geometry.
متن کاملRoitman’s theorem for singular complex projective surfaces
Let X be a complex projective surface with arbitrary singularities. We construct a generalized Abel–Jacobi map A0(X) → J 2(X) and show that it is an isomorphism on torsion subgroups. Here A0(X) is the appropriate Chow group of smooth 0-cycles of degree 0 on X, and J 2(X) is the intermediate Jacobian associated with the mixed Hodge structure on H 3(X). Our result generalizes a theorem of Roitman...
متن کاملClassification of complex simple Lie algebras via projective geometry
Complex simple Lie algebras were classified by Cartan and Killing 100 years ago. Their proof proceeds by reducing the question to a combinatorical problem: the classification of irreducible root systems, and then performing the classification. We present a new proof of the classification via the projective geometry of homogeneous varieties. Our proof is constructive: we build a homogeneous spac...
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: The Quarterly Journal of Mathematics
سال: 1985
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/36.4.451