cartier divisor - effective cartier divisor : 2024-11-02 cartier divisorThe Weil divisor class group Cl(X) is the quotient of Div(X) by the subgroup of all principal Weil divisors. Two divisors are said to be linearly equivalent if their difference is principal, so the divisor class group is the group of divisors modulo linear equivalence. . See more cartier divisorLouis Vuitton’s fashionable pouches and clutches for men come in a multitude of formats, to hold everything from paperwork to toiletries to office needs and daily essentials. Exactingly crafted from House canvases in classic or special editions, from signature leathers or a mix of materials, these practical yet luxurious accessories carry .
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cartier divisorLet X be an integral Noetherian scheme. Then X has a sheaf of rational functions $${\displaystyle {\mathcal {M}}_{X}.}$$ All regular functions are rational functions, which leads to a short exact sequenceA Cartier divisor on . See moreAs a basic result of the (big) Cartier divisor, there is a result called Kodaira's lemma:Let X be a irreducible projective variety and let D be a big Cartier divisor on X and let H be an arbitrary effective Cartier divisor on X. Then See more
cartier divisoreffective cartier divisorLet φ : X → Y be a morphism of integral locally Noetherian schemes. It is often—but not always—possible to use φ to transfer a divisor D from one scheme to the other. Whether this is possible depends on whether the divisor is a Weil or Cartier divisor, . See moreFor an integral Noetherian scheme X, the natural homomorphism from the group of Cartier divisors to that of Weil divisors gives a homomorphism$${\displaystyle c_{1}:\operatorname {Pic} (X)\to \operatorname {Cl} (X),}$$known as the first See more
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cartier divisor