canonical divisor造句

• One key divisor on a compact Riemann surface is the canonical divisor.
• A divisor of a global meromorphic 1-form is called the canonical divisor ( usually denoted " K " ).
• Where & chi; is the holomorphic Euler characteristic, the dot . is the intersection number, and " K " is the canonical divisor.
• The canonical divisor has negative degree if and only if " X " is isomorphic to the Riemann sphere "'CP "'1.
• Any two meromorphic 1-forms will yield linearly equivalent divisors, so the canonical divisor is uniquely determined up to linear equivalence ( hence " the " canonical divisor ).
• Any two meromorphic 1-forms will yield linearly equivalent divisors, so the canonical divisor is uniquely determined up to linear equivalence ( hence " the " canonical divisor ).
• Because the canonical divisor is intrinsically associated to a variety, a key role in the classification of varieties is played by the maps to projective space given by " K " " X " and its positive multiples.